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Modules in NAG

A02AAF Square root of a complex argument.
A02ABF Modulus of a complex number.
A02ACF Quotient of complex numbers.
C02AFF Finds all zeros of complex polynomial using a modified Laguerre method.
C02AGF Finds all the roots of a real polynomial equation, using a variant of Laguerre's ...
C02AHF Finds all zeros of a quadratic polynomial with complex coefficients.
C02AJF Finds all zeros of a quadratic polynomial with real coefficients.
C05ADF Locates a zero of a continuous function in a given interval (a, b) by a combinat ...
C05AGF Locates a simple zero of a continuous function from a given starting value, usin ...
C05AJF Attempts to locate a zero of a continuous function by a continuation method usin ...
C05AVF Attempts to locate an interval containing a simple zero of a continuous function ...
C05AXF Attempts to locate a zero of a continuous function using a continuation method b ...
C05AZF Locates a simple zero of a continuous function on a given interval by a combinat ...
C05NBF Is an easy-to-use routine to find a zero of a system of N nonlinear functions in ...
C05NCF Is a comprehensive routine to find a zero of a system of N nonlinear functions i ...
C05NDF A comprehensive reverse communication routine to find a solution to a system of ...
C05PBF Is an easy-to-use routine to find a zero of a system of N nonlinear functions in ...
C05PCF Is a comprehensive routine to find a zero of a system of N nonlinear functions i ...
C05PDF A comprehensive reverse communication routine to find a solution to a system of ...
C05ZAF Checks the user-provided gradients of M non-linear functions in N variables for ...
C06BAF Accelerates the convergence of a given convergent sequence to its limit.
C06DBF Returns the value of the sum of a Chebyshev series through the routine name.
C06EAF Calculates the discrete Fourier transform of a sequence of N real data values. ( ...
C06EBF Calculates the discrete Fourier transform of a Hermitian sequence of N complex d ...
C06ECF Calculates the discrete Fourier transform of a sequence of N complex data values ...
C06EKF Calculates the circular convolution or correlation of two real vectors of period ...
C06FAF Calculates the discrete Fourier transform of a sequence of N real data values (u ...
C06FBF Calculates the discrete Fourier transform of a Hermitian sequence of N complex d ...
C06FCF Calculates the discrete Fourier transform of a sequence of N complex data values ...
C06FFF Computes the discrete Fourier transform of one variable in a multivariate sequen ...
C06FJF Computes the multi-dimensional discrete Fourier transform of a multivariate sequ ...
C06FKF Calculates the circular convolution or correlation of two real vectors of period ...
C06FPF Computes the discrete Fourier transforms of M sequences, each containing N real ...
C06FQF Computes the discrete Fourier transforms of M Hermitian sequences, each containi ...
C06FRF Computes the discrete Fourier transforms of M sequences, each containing N compl ...
C06FUF Computes the two-dimensional discrete Fourier transform of a bivariate sequence ...
C06FXF Computes the three-dimensional discrete Fourier transform of a trivariate sequen ...
C06GBF Forms the complex conjugate of a Hermitian sequence of N data values.
C06GCF Forms the complex conjugate of a sequence of N data values.
C06GQF Forms the complex conjugates of M Hermitian sequences, each containing N data va ...
C06GSF Takes M Hermitian sequences, each containing N data values, and forms the real a ...
C06HAF Computes the discrete Fourier sine transforms of M sequences of real data values ...
C06HBF Computes the discrete Fourier cosine transforms of M sequences of real data valu ...
C06HCF Computes the discrete quarter-wave Fourier sine transforms of M sequences of rea ...
C06HDF Computes the discrete quarter-wave Fourier cosine transforms of M sequences of r ...
C06LAF Estimates values of the inverse Laplace transform of a given function using a Fo ...
C06LBF Computes the inverse Laplace transform of a user-supplied function of a complex ...
C06LCF Evaluate inverse Laplace transform at a given point, using the expansion coeffic ...
C06PAF Calculates the discrete Fourier transform of a sequence of n real data values or ...
C06PCF Calculates the discrete Fourier transform of a sequence of n complex data values ...
C06PFF Computes the discrete Fourier transform of one variable in a multivariate sequen ...
C06PJF Computes the multi-dimensional discrete Fourier transform of a multivariate sequ ...
C06PKF Calculates the circular convolution or correlation of two complex vectors of per ...
C06PPF Computes the discrete Fourier transforms of m sequences, each containing n real ...
C06PQF Computes the discrete Fourier transforms of m sequences, each containing n real ...
C06PRF Computes the discrete Fourier transforms of m sequences, each containing n compl ...
C06PSF Computes the discrete Fourier transforms of m sequences, stored as columns of an ...
C06PUF Computes the two-dimensional discrete Fourier transform of a bivariate sequence ...
C06PXF Computes the three-dimensional discrete Fourier transform of a trivariate sequen ...
C06RAF Computes the discrete Fourier sine transforms of m sequences of real data values ...
C06RBF Computes the discrete Fourier cosine transforms of m sequences of real data valu ...
C06RCF Computes the discrete quarter-wave Fourier sine transforms of m sequences of rea ...
C06RDF Computes the discrete quarter-wave Fourier cosine transforms of m sequences of r ...
D01AHF Computes a definite integral over a finite range to a specified relative accurac ...
D01AJF General-purpose integrator which calculates an approximation to the integral of ...
D01AKF Adaptive integrator, especially suited to oscillating, non-singular integrands, ...
D01ALF Is a general purpose integrator which calculates an approximation to the integra ...
D01AMF Calculates an approximation to the integral of a function F(x) over an infinite ...
D01ANF Calculates an approximation to the cosine or the sine transform of a function G ...
D01APF Adaptive integrator which calculates an approximation to the integral of a funct ...
D01AQF Calculates an approximation to the Hilbert transform of a function G(x) over (A, ...
D01ARF Computes definite and indefinite integrals over a finite range to a specified re ...
D01ASF Calculates an approximation to the sine or the cosine transform of a function G ...
D01ATF Is a general-purpose integrator which calculates an approximation to the integra ...
D01AUF Is an adaptive integrator, especially suited to oscillating, non-singular integr ...
D01BAF Computes an estimate of the definite integral of a function of known analytical ...
D01BBF Returns the weights and abscissae appropriate to a Gaussian quadrature formula w ...
D01BCF Returns the weights (normal or adjusted) and abscissae for a Gaussian integratio ...
D01BDF Calculates an approximation to the integral of a function over a finite interval ...
D01DAF Attempts to evaluate a double integral to a specified absolute accuracy by repea ...
D01EAF Computes approximations to the integrals of a vector of similar functions, each ...
D01FBF Computes an estimate of a multidimensional integral (from 1 to 20 dimensions), g ...
D01FCF Attempts to evaluate a multidimensional integral (up to 15 dimensions), with con ...
D01FDF Calculates an approximation to a definite integral in up to 30 dimensions, using ...
D01GAF Integrates a function which is specified numerically at four or more points, ove ...
D01GBF Returns an approximation to the integral of a function over a hyper-rectangular ...
D01GCF Calculates an approximation to a definite integral in up to 20 dimensions, using ...
D01GDF Calculates an approximation to a definite integral in up to 20 dimensions using ...
D01GYF Uses the Korobov procedure to calculate optimal coefficients for p-point integra ...
D01GZF Uses the Korobov procedure to calculate optimal coefficients for p-point integra ...
D01JAF Attempts to evaluate an integral over an n-dimensional sphere (n=2, 3, or 4), to ...
D01PAF Returns a sequence of approximations to the integral of a function over a multi- ...
D02AGF Solves the two-point boundary-value problem for a system of ordinary differentia ...
D02BGF Integrates a system of first-order ordinary differential equations over a range ...
D02BHF Integrates a system of first-order ordinary differential equations over a range ...
D02BJF Integrates a system of first-order ordinary differential equations over an inter ...
D02CJF Integrates a system of first-order ordinary differential equations over a range ...
D02EJF Integrates a stiff system of first-order ordinary differential equations over a ...
D02GAF Solves the two-point boundary-value problem with assigned boundary values for a ...
D02GBF Solves a general linear two-point boundary value problem for a system of ordinar ...
D02HAF Solves the two-point boundary-value problem for a system of ordinary differentia ...
D02HBF Solves the two-point boundary-value problem for a system of ordinary differentia ...
D02JAF Solves a regular linear two-point boundary value problem for a single N(th) orde ...
D02JBF Solves a regular linear two-point boundary value problem for a system of ordinar ...
D02KAF Finds a specified eigenvalue of a regular second-order Sturm-Liouville system de ...
D02KDF Finds a specified eigenvalue of a regular or singular second-order Sturm-Liouvil ...
D02KEF Finds a specified eigenvalue of a regular singular second-order Sturm-Liouville ...
D02LAF Is a routine for integrating a non-stiff system of second order ordinary differe ...
D02LXF Is a setup routine which must be called by the user prior to the first call of t ...
D02LYF Is a diagnostic routine which may be called after a call of the NAG Fortran Libr ...
D02LZF Interpolates components of the solution of a non-stiff system of second order di ...
D02MVF A setup routine which must be called by the user, prior to calling an ordinary d ...
D02MZF Interpolates components of the solution of a system of first order differential ...
D02NBF Forward communication routine for integrating stiff systems of explicit ordinary ...
D02NCF Forward communication routine for integrating stiff systems of explicit ordinary ...
D02NDF Forward communication routine for integrating stiff systems of explicit ordinary ...
D02NGF Forward communication routine for integrating stiff systems of implicit ordinary ...
D02NHF Forward communication routine for integrating stiff systems of implicit ordinary ...
D02NJF Forward communication routine for integrating stiff systems of implicit ordinary ...
D02NMF Reverse communication routine for integrating stiff systems of explicit ordinary ...
D02NNF Reverse communication routine for integrating stiff systems of implicit ordinary ...
D02NRF Enquiry routine for communicating with D02NMF or D02NNF when supplying columns o ...
D02NSF Setup routine which must be called by the user, prior to an integrator in the D0 ...
D02NTF Setup routine which must be called by the user, prior to an integrator in the D0 ...
D02NUF Setup routine which must be called by the user, prior to an integrator in the D0 ...
D02NVF Setup routine which must be called by the user, prior to an integrator in the D0 ...
D02NWF Setup routine which must be called by the user, prior to an integrator in the D0 ...
D02NXF Optional output routine which the user may call, on exit from an integrator in t ...
D02NYF Diagnostic routine which the user may call either after any user specified exit ...
D02NZF Setup routine which must be called, if optional inputs need resetting, prior to ...
D02PCF Uses Runge-Kutta methods to solve the initial value problem for a first order sy ...
D02PDF A one-step routine for solving the initial value problem for a first order syste ...
D02PVF A setup routine which must be called prior to the first call of either of the in ...
D02PWF Resets the end-point in an integration performed by D02PDF.
D02PXF Evaluates the solution of a system of ordinary differential equations using inte ...
D02PYF Provides details about an integration performed by either D02PCF or D02PDF.
D02PZF Provides details about global error assessment computed during an integration wi ...
D02QFF Is a routine for integrating a non-stiff system of first order ordinary differen ...
D02QGF Is a reverse communication routine for integrating a non-stiff system of first o ...
D02QWF Is a setup routine which must be called by the user prior to the first call of e ...
D02QXF Is a diagnostic routine which may be called after a call to either of the NAG Fo ...
D02QYF Is a diagnostic routine which may be called after a call to NAG Fortran Library ...
D02QZF Interpolates components of the solution of a non-stiff system of first order dif ...
D02RAF Solves the two-point boundary-value problem with general boundary conditions for ...
D02SAF Solves a two-point boundary-value problem for a system of first order ordinary d ...
D02TGF Solves a system of linear ordinary differential equations by least-squares fitti ...
D02TKF Solves a general two point boundary value problem for a nonlinear mixed order sy ...
D02TVF Setup routine which must be called prior to the first call of the nonlinear two ...
D02TXF Allows a solution to a nonlinear two point boundary value problem computed by D0 ...
D02TYF Interpolates on the solution of a general two point boundary value problem compu ...
D02TZF Returns information about the solution of a general two point boundary value pro ...
D02XJF Interpolates components of the solution of a system of first-order ordinary diff ...
D02XKF Interpolates components of the solution of a system of first-order ordinary diff ...
D02ZAF Calculates the weighted norm of the local error estimate from inside a MONITR ro ...
D03EAF Solves Laplaces's equation in two dimensions for an arbitrary domain bounded int ...
D03EBF Uses the Strongly Implicit Procedure to calculate the solution to a system of si ...
D03ECF Uses the Strongly Implicit Procedure to calculate the solution to a system of si ...
D03EDF Solves 7-diagonal systems of linear equations which arise from the discretisatio ...
D03EEF Discretises a second order elliptic partial differential equation on a rectangul ...
D03FAF Elliptic PDE, Helmholtz equation, 3-D Cartesian co-ordinates.
D03MAF Places a triangular mesh over a given 2-dimensional region. The region may have ...
D03PCF Integrates a system of linear or nonlinear parabolic partial differential equati ...
D03PDF Integrates a system of linear or nonlinear parabolic partial differential equati ...
D03PEF Integrates a system of linear or nonlinear, first-order, time-dependent partial ...
D03PFF Integrates a system of 1D linear or nonlinear convection-diffusion equations in ...
D03PHF Integrates a system of linear or nonlinear parabolic partial differential equati ...
D03PJF Integrates a system of linear or nonlinear parabolic partial differential equati ...
D03PKF Integrates a system of linear or nonlinear, first-order, time-dependent partial ...
D03PLF Integrates a system of 1D linear or nonlinear convection-diffusion equations pos ...
D03PPF Solves systems of nonlinear parabolic partial differential equations (PDEs) in o ...
D03PRF Solves systems of nonlinear, first-order, time-dependent partial differential eq ...
D03PSF Integrates a system of 1D linear or nonlinear convection-diffusion equations pos ...
D03PUF Calculates a numerical flux function using Roe's Approximate Riemann Solver for ...
D03PVF Calculates a numerical flux function using Osher's Approximate Riemann Solver fo ...
D03PWF Calculates a numerical flux function using a modified HLL (Harten-Lax-van Leer) ...
D03PXF Calculates a numerical flux function using an Exact Riemann Solver for the Euler ...
D03PYF This routine may be used in conjunction with either D03PDF or D03PJF. It compute ...
D03PZF This routine may be used in conjunction with either D03PCF, or D03PHF. It comput ...
D03RAF Integrates a system of nonlinear, time-dependent partial differential equations ...
D03RBF Integrates a system of nonlinear, time-dependent partial differential equations ...
D03RYF Used in conjunction with D03RBF. It can be called from the user-supplied subrout ...
D03RZF Used in conjunction with D03RBF. It can be called from the user-supplied MONITR ...
D03UAF Performs at each call one iteration of the Strongly Implicit Procedure. It is us ...
D03UBF Performs at each call one iteration of the Strongly Implicit Procedure. It is us ...
D04AAF Calculates a set of derivatives (up to order 14) of a function of one real varia ...
D05AAF Solves a linear, non-singular Fredholm equation of the second kind with a split ...
D05ABF Solves any linear non-singular Fredholm integral equation of the second kind wit ...
D05BAF Solves a nonlinear convolution Volterra integral equation of the second kind usi ...
D05BDF Solves a weakly singular nonlinear convolution Volterra-Abel integral equation o ...
D05BEF Solves a weakly singular nonlinear convolution Volterra-Abel integral equation o ...
D05BWF Computes the quadrature weights associated with the Adams methods of orders thre ...
D05BYF Computes the fractional quadrature weights associated with the Backward Differen ...
E01AAF Interpolates at a given point X from a table of function values y(i) evaluated a ...
E01ABF Interpolates at a given point X from a table of function values evaluated at equ ...
E01AEF Constructs the Chebyshev series representation of a polynomial interpolant to a ...
E01BAF Determines a cubic-spline interpolant to a given set of data.
E01BEF Computes a monotonicity-preserving piecewise cubic Hermite interpolant to a set ...
E01BFF Evaluates a piecewise cubic Hermite interpolant, as constructed by NAG Fortran L ...
E01BGF Evaluates a piecewise cubic Hermite interpolant, as constructed by NAG Fortran L ...
E01BHF Evaluates the definite integral of a piecewise cubic Hermite interpolant, as con ...
E01DAF Interpolating functions, fitting bicubic spline, data on rectangular grid.
E01RAF Produces, from a set of function values and corresponding abscissae, the coeffic ...
E01RBF Evaluates continued fractions of the form produced by NAG FORTRAN Library routin ...
E01SAF Generates a two-dimensional surface interpolating a set of scattered data points ...
E01SBF Evaluates at a given point the two-dimensional interpolant function computed by ...
E01SEF Generates a two-dimensional surface interpolating a set of scattered data points ...
E01SFF Evaluates at a given point the two-dimensional interpolating function computed b ...
E01SGF Generates a two-dimensional interpolant to a set of scattered data points, using ...
E01SHF Evaluates the two-dimensional interpolating function generated by E01SGF and its ...
E01TGF Generates a three-dimensional interpolant to a set of scattered data points, usi ...
E01THF Evaluates the three-dimensional interpolating function generated by E01TGF and i ...
E02ACF Calculates a minimax polynomial fit to a set of data points.
E02ADF Computes weighted least-squares polynomial approximations to an arbitrary set of ...
E02AEF Evaluates a polynomial from its Chebyshev series representation.
E02AFF Computes the coefficients of a polynomial, in its Chebyshev series form, which i ...
E02AGF Computes constrained weighted least-squares polynomial approximations in Chebysh ...
E02AHF Determines the coefficients in the Chebyshev series representation of the deriva ...
E02AJF Determines the coefficients in the Chebyshev series representation of the indefi ...
E02AKF Evaluates a polynomial from its Chebyshev series representation, allowing an arb ...
E02BAF Computes a weighted least-squares approximation to an arbitrary set of data poin ...
E02BBF Evaluates a cubic spline from its B-spline representation.
E02BCF Evaluates a cubic spline and its first three derivatives from its B-spline repre ...
E02BDF Computes the definite integral of a cubic spline from its B-spline representatio ...
E02BEF Computes a cubic spline approximation to an arbitrary set of data points. The kn ...
E02CAF Forms an approximation to the weighted, least-squares Chebyshev series surface f ...
E02CBF Evaluates a bivariate polynomial from the rectangular array of coefficients in i ...
E02DAF Forms a minimal, weighted least-squares bicubic spline surface fit with prescrib ...
E02DCF Computes a bicubic spline approximation to a set of data values, given on a rect ...
E02DDF Computes a bicubic spline approximation to a set of scattered data. The knots of ...
E02DEF Evaluation of a fitted bicubic spline (from its B-representation) at a vector of ...
E02DFF Evaluation of a fitted bicubic spline (from its B-representation) at all points ...
E02GAF Calculates an l1 solution to an over-determined system of linear equations.
E02GBF Calculates an l1 solution to an over-determined system of linear equations, poss ...
E02GCF Calculates an L-infinity solution to an over-determined system of linear equatio ...
E02RAF Calculates the coefficients in a Pade approximant to a function from its user-su ...
E02RBF Evaluates a rational function at a user-supplied point, give the numerator and d ...
E02ZAF Sorts two-dimensional data into rectangular panels.
E04ABF Searches for a minimum, in a given finite interval, of a continuous function of ...
E04BBF Searches for a minimum, in a given finite interval, of a continuous function of ...
E04CCF Minimizes a general function F(X) of N independent variables X = (X(1),X(2),..., ...
E04DGF Minimizes an unconstrained nonlinear function of several variables using a pre-c ...
E04DJF Supplies optional parameters to NAG Fortran Library routine E04DGF from an exter ...
E04DKF Supplies individual optional parameters to NAG Fortran Library routine E04DGF.
E04FCF A comprehensive algorithm for finding an unconstrained minimum of a sum of squar ...
E04FDF An easy-to-use algorithm for finding an unconstrained minimum of a sum of square ...
E04FYF Easy-to-use algorithm for finding an unconstrained minimum of a sum of squares o ...
E04GBF A comprehensive quasi-Newton algorithm for finding an unconstrained minimum of a ...
E04GCF An easy-to-use quasi-Newton algorithm for finding an unconstrained minimum of a ...
E04GDF A comprehensive modified Gauss-Newton algorithm for finding an unconstrained min ...
E04GEF An easy-to-use modified Gauss-Newton algorithm for finding an unconstrained mini ...
E04GYF E04GYF is an easy-to-use quasi-Newton algorithm for finding an unconstrained min ...
E04GZF Easy-to-use modified Gauss-Newton algorithm for finding an unconstrained minimum ...
E04HCF Checks that a user-supplied routine for evaluating an objective function and its ...
E04HDF Checks that a user-supplied routine for calculating second derivatives of an obj ...
E04HEF A comprehensive modified Gauss-Newton algorithm for finding an unconstrained min ...
E04HFF An easy-to-use modified Gauss-Newton algorithm for finding an unconstrained mini ...
E04HYF Easy-to-use modified Gauss-Newton algorithm for finding an unconstrained minimum ...
E04JAF An easy-to-use quasi-Newton algorithm for finding a minimum of a function, subje ...
E04JYF Easy-to-use quasi-Newton algorithm for finding a minimum of a function F(x(1), x ...
E04KAF An easy-to-use quasi-Newton algorithm for finding a minimum of a function subjec ...
E04KCF An easy-to-use modified-Newton algorithm for finding a minimum of a function , s ...
E04KDF A comprehensive modified Newton algorithm for finding: - an unconstrained minimu ...
E04KYF Easy-to-use quasi-Newton algorithm for finding a minimum of a function F(x(1), x ...
E04KZF Easy-to-use quasi-Newton algorithm for finding a minimum of a function F(x(1), x ...
E04LAF An easy-to-use modified-Newton algorithm for finding a minimum of a function, su ...
E04LBF A comprehensive modified Newton algorithm for finding a minimum of a function of ...
E04LYF Easy-to-use modified-Newton algorithm for finding a minimum of a function F(x(1) ...
E04MFF Solves general linear programming problems. Not intended for large sparse proble ...
E04MGF Supply optional parameters to E04MFF from an external file.
E04MHF Supply individual optional parameters to E04MFF.
E04MZF Reads data for a sparse linear programming or quadratic programming problem from ...
E04NCF Solves linearly constrained linear least-squares problems and convex quadratic p ...
E04NDF Supplies optional parameters to NAG Fortran Library routine E04NCF from an exter ...
E04NEF Supplies individual optional parameters to NAG Fortran Library routine E04NCF.
E04NFF Solves general quadratic programming problems. Not intended for large sparse pro ...
E04NGF Supply optional parameters to E04NFF from an external file.
E04NHF Supply individual optional parameters to E04NFF.
E04NKF Solves sparse linear programming or quadratic programming problems.
E04NLF To supply optional parameters to E04NKF from an external file.
E04NMF To supply individual optional parameters to E04NKF.
E04UCF Minimize an arbitrary smooth function subject to constraints, which may include ...
E04UDF Supplies optional parameters to NAG Fortran Library routine E04UCF from an exter ...
E04UEF Supplies individual optional parameters to NAG Fortran Library routine E04UCF.
E04UFF Minimizes an arbitrary smooth function subject to constraints (which may include ...
E04UGF Solves sparse nonlinear programming problems. .
E04UHF To supply optional parameters to E04UGF from an external file.
E04UJF To supply individual optional parameters to E04UGF.
E04UNF Minimize an arbitrary smooth sum of squares function subject to constraints (inc ...
E04UPF Minimizes an arbitrary smooth sum of squares function subject to constraints, wh ...
E04UQF Read optional parameter values for E04UPF from external file.
E04URF Supply optional parameter values to E04UPF.
E04XAF Computes an approximation to the gradient vector and the Hessian matrix for use ...
E04YAF Checks that a user-supplied routine for evaluating a vector of functions and the ...
E04YBF Checks that a user-supplied routine for evaluating the second derivative term of ...
E04YCF Returns estimates of elements of the variance-covariance matrix of the estimated ...
E04ZCF Checks that user-supplied routines for evaluating an objective function, constra ...
F01ABF Calculates the accurate inverse of a real symmetric positive definite matrix by ...
F01ADF Calculates the approximate inverse of a real symmetric positive definite matrix ...
F01BLF Calculates the rank and pseudo-inverse of an m-by-n real matrix A, m.ge.n, rank( ...
F01BRF Decomposes a real sparse matrix. The routine either forms the LU-decomposition o ...
F01BSF Decomposes a real sparse matrix using the pivotal sequence previously obtained b ...
F01BUF Decomposes a symmetric positive definite band matrix into the form U*L*D*L(trans ...
F01BVF Transforms the generalised symmetric eigenproblem Ax = (lambda)Bx to the equival ...
F01CKF Returns with the result of the multiplication of two matrices B and C in the mat ...
F01CRF Re-orders the elements of a vector of length m *n, containing an m-by-n matrix, ...
F01CTF Sum or difference of two real matrices, optional scaling and transposition.
F01CWF Sum or difference of two complex matrices, optional scaling and transposition.
F01LEF Factorises a real tridiagonal matrix into triangular factors,T-lambda*I=PLU, usi ...
F01LHF Decomposes a real almost block diagonal matrix.
F01MAF Find an incomplete Cholesky factorisation of a sparse symmetric positive definit ...
F01MCF Computes the Cholesky factorisation of a symmetric, positive-definite, variable- ...
F01QGF RQ factorization of real m by n upper trapezoidal matrix (m<=n).
F01QJF RQ factorization of real m by n matrix (m<=n).
F01QKF Operations with orthogonal matrices, form rows of Q, after RQ factorization by F ...
F01RGF RQ factorization of complex m by n upper trapezoidal matrix (m<=n).
F01RJF RQ factorization of complex m by n matrix (m<=n).
F01RKF Operations with unitary matrices, form rows of Q, after RQ factorization by F01R ...
F01ZAF Convert real matrix between packed triangular and square storage schemes.
F01ZBF Convert complex matrix between packed triangular and square storage schemes.
F01ZCF Convert real matrix between packed banded and rectangular storage schemes.
F01ZDF Convert complex matrix between packed banded and rectangular storage schemes.
F02BBF Calculates selected eigenvalues and eigenvectors of a real symmetric matrix by H ...
F02BCF Calculates selected eigenvalues and eigenvectors of a real unsymmetric matrix by ...
F02BDF Calculates selected eigenvalues and eigenvectors of a complex matrix by reductio ...
F02BJF Calculates all the eigenvalues and, if required, all the eigenvectors of the gen ...
F02EAF Computes all the eigenvalues, and optionally the Schur factorization, of a real ...
F02EBF Computes all the eigenvalues, and optionally all the eigenvectors, of a real gen ...
F02ECF Computes selected eigenvalues and eigenvectors of a real general matrix.
F02FAF Computes all the eigenvalues, and optionally all the eigenvectors, of a real sym ...
F02FCF Computes selected eigenvalues, and optionally the corresponding eigenvectors, of ...
F02FDF Computes all the eigenvalues, and optionally all the eigenvectors, of a real sym ...
F02FHF Finds the eigenvalues of the generalised band symmetric eigenvalue problem Ax=(l ...
F02FJF Finds eigenvalues and eigenvectors of a real sparse symmetric or generalised sym ...
F02GAF Computes all the eigenvalues, and optionally the Schur factorization, of a compl ...
F02GBF Computes all the eigenvalues, and optionally all the eigenvectors, of a complex ...
F02GCF Computes selected eigenvalues and eigenvectors of a complex general matrix.
F02GJF Calculates all the eigenvalues and, if required, all the eigenvectors of the com ...
F02HAF Computes all the eigenvalues, and optionally all the eigenvectors, of a complex ...
F02HCF Computes selected eigenvalues, and optionally the corresponding eigenvectors, of ...
F02HDF Computes all the eigenvalues, and optionally all the eigenvectors, of a complex ...
F02SDF Finds the eigenvector corresponding to a given real eigenvalue for the generalis ...
F02WDF Returns the Householder QU factorisation of a real rectangular m-by-n (m.ge.n) m ...
F02WEF Returns all, or part, of the singular value decomposition of a general real matr ...
F02WUF Singular value decomposition of a real upper triangular matrix.
F02XEF Returns all, or part, of the singular value decomposition of a general complex m ...
F02XUF Returns all, or part, of the singular value decomposition of a complex upper tri ...
F03AAF Calculates the determinant of a real matrix using the factorisation method of Cr ...
F03ABF Calculates the determinant of a real symmetric positive definite matrix using Ch ...
F03ACF Calculates the determinant of a real symmetric positive definite band matrix usi ...
F03ADF Calculates the determinant of a complex matrix using the factorisation method of ...
F03AEF Decomposes a real symmetric positive definite matrix A into triangular matrices ...
F03AFF Decomposes a real matrix into triangular factor matrices LU by Crout's method an ...
F04AAF Calculates the approximate solution of a set of real linear equations with multi ...
F04ABF Calculates the accurate solution of a set of real symmetric positive definite li ...
F04ACF Calculates the approximate solution of a set of real symmetric positive definite ...
F04ADF Calculates the approximate solution of a set of complex linear equations with mu ...
F04AEF Calculates the accurate solution of a set of real linear equations with multiple ...
F04AFF Calculates the accurate solution of a set of real symmetric positive definite li ...
F04AGF Calculates the approximate solution of a set of real symmetric positive definite ...
F04AHF Calculates the accurate solution of a set of real linear equations with multiple ...
F04AJF Calculates the approximate solution of a set of real linear equations with multi ...
F04AMF Calculates the accurate least squares solution of a set of m linear equations in ...
F04ARF Calculates the approximate solution of a set of real linear equations with a sin ...
F04ASF Calculates the accurate solution of a set of real symmetric positive definite li ...
F04ATF Calculates the accurate solution of a set of real linear equations with a single ...
F04AXF Calculates the approximate solution of a set of real sparse linear equations wit ...
F04EAF Calculates the approximate solution of a set of real tridiagonal linear equation ...
F04FAF Calculates the approximate solution of a set of real symmetric positive definite ...
F04FEF Solves the Yule-Walker equations for a real symmetric positive-definite Toeplitz ...
F04FFF Solves the equations T*x = b, where T is a real symmetric positive-definite Toep ...
F04JAF Finds the minimal solution of a linear least squares problem, Ax=b, where A is a ...
F04JDF Finds the minimal solution of a linear least squares problem, Ax=b, where A is a ...
F04JGF Finds the solution of a linear least squares problem, Ax=b, where A is a real m- ...
F04JLF Solves a real general Gauss-Markov linear (least-squares) model problem, i.e. gi ...
F04JMF Solves a real linear equality constrained matrix least-squares problem.
F04KLF Solves a real general Gauss-Markov linear (least-squares) model problem, i.e. gi ...
F04KMF Solves a complex linear equality constrained matrix least-squares problem.
F04LEF Solves a system of tridiagonal equations following the factorisation by F01LEF. ...
F04LHF Calculates the approximate solution of a set of real linear equations with multi ...
F04MAF Solves a sparse symmetric positive definite system of linear equations, Ax = b, ...
F04MBF Solves a system of sparse symmetric linear equations (A-lambda*I)x=b, using a La ...
F04MCF Computes the approximate solution of a system of real linear equations with mult ...
F04MEF Updates the solution to the Yule-Walker equations for a real symmetric positive- ...
F04MFF Updates the solution of the equations T*x = b, where T is a real symmetric posit ...
F04QAF Solves sparse unsymmetric equations, sparse linear least squares problems and sp ...
F04YAF Returns elements of the estimated variance-covariance matrix of the sample regre ...
F04YCF Estimates the 1-norm of a real matrix without accessing the matrix explicitly. U ...
F04ZCF Estimates 1-norm of complex matrix without accessing the matrix explicitly. Uses ...
F05AAF Applies the Schmidt orthogonalisation process to n vectors in m dimensional spac ...
F06AAF Generate real plane rotation.
F06BAF Generate real plane rotation, storing tangent.
F06BCF Recover real cosine c and real sine s from given real tangent t, i.e., c=1/sqrt( ...
F06BEF Generate real Jacobi plane rotation.
F06BHF Apply real similarity rotation to 2-by-2 symmetric matrix.
F06BLF Quotient of real scalars, with overflow flag.
F06BMF Compute Euclidean norm from scaled form.
F06BNF Compute square root of (a*a + b*b), real a and b.
F06BPF Compute eigenvalue of 2-by-2 real symmetric matrix.
F06CAF Generate complex plane rotation, storing tangent, real cosine.
F06CBF Generate complex plane rotation, storing tangent, real sine.
F06CCF Recover real cosine c and complex sine s from given complex tangent t, i.e., c=1 ...
F06CDF Recover complex cosine c and real sine s from given complex tangent t, i.e., c = ...
F06CHF Apply complex similarity rotation to 2-by-2 Hermitian matrix.
F06CLF Quotient of complex scalars, with overflow flag.
F06DBF Broadcast scalar into integer vector.
F06DFF Copy integer vector.
F06EAF Dot product of two real vectors.
F06ECF Add scalar times real vector to real vector.
F06EDF Multiply real vector by scalar.
F06EFF Copy real vector.
F06EGF Swap two real vectors.
F06EJF Compute Euclidean norm of real vector.
F06EKF Sum the absolute values of real vector elements.
F06EPF Apply real plane rotation.
F06ERF Dot product of two real sparse vectors (SDOTI/DDOTI).
F06ETF Add a scalar times a real sparse vector to another real sparse vector (SAXPYI/DA ...
F06EUF Gather a real sparse vector (SGTHR/DGTHR).
F06EVF Gather and set to zero a real sparse vector (SGTHRZ/DGTHRZ).
F06EWF Scatter a real sparse vector (SSCTR/DSCTR).
F06EXF Apply plane rotation to two real sparse vectors (SROTI/DROTI).
F06FAF Compute cosine of angle between two real vectors.
F06FBF Broadcast scalar into real vector.
F06FCF Multiply real vector by diagonal matrix.
F06FDF Multiply real vector by scalar, preserving input vector.
F06FGF Negate real vector.
F06FJF Update Euclidean norm of real vector in scaled form.
F06FKF Compute weighted Euclidean norm of real vector.
F06FLF Elements of real vector with largest and smallest absolute value.
F06FPF Apply real symmetric plane rotation to two vectors.
F06FQF Generate sequence of real plane rotations.
F06FRF Generate real elementary reflection, NAG style.
F06FSF Generate real elementary reflection, LINPACK style.
F06FTF Apply real elementary reflection, NAG style.
F06FUF Apply real elementary reflection, LINPACK style.
F06GAF Dot product of two complex vectors, unconjugated.
F06GBF Dot product of two complex vectors, conjugated.
F06GCF Add scalar times complex vector to complex vector.
F06GDF Multiply complex vector by complex scalar.
F06GFF Copy complex vector.
F06GGF Swap two complex vectors.
F06GRF Dot product of two complex sparse vector, unconjugated (CDOTUI/ZDOTUI).
F06GSF Dot product of two complex sparse vector, conjugated (CDOTCI/ZDOTCI).
F06GTF Add a scalar times a complex sparse vector to another complex sparse vector (CAX ...
F06GUF Gather a complex sparse vector (CGTHR/ZGTHR).
F06GVF Gather and set to zero a complex sparse vector (CGTHRZ/ZGTHRZ).
F06GWF Scatter a complex sparse vector (CSCTR/ZSCTR).
F06HBF Broadcast scalar into complex vector.
F06HCF Multiply complex vector by complex diagonal matrix.
F06HDF Multiply complex vector by complex scalar, preserving input vector.
F06HGF Negate complex vector.
F06HPF Apply complex plane rotation.
F06HQF Generate sequence of complex plane rotations.
F06HRF Generate complex elementary reflection.
F06HTF Apply complex elementary reflection.
F06JDF Multiply complex vector by real scalar.
F06JJF Compute Euclidean norm of complex vector.
F06JKF Sum the absolute values of complex vector elements.
F06JLF Index, real vector element with largest absolute value.
F06JMF Index, complex vector element with largest absolute value.
F06KCF Multiply complex vector by real diagonal matrix.
F06KDF Multiply complex vector by real scalar, preserving input vector.
F06KFF Copy real vector to complex vector.
F06KJF Update Euclidean norm of complex vector in scaled form.
F06KLF Last non-negligible element of real vector.
F06KPF Apply real plane rotation to two complex vectors.
F06PAF Matrix-vector product, real general matrix.
F06PBF Matrix-vector product, real general band matrix.
F06PCF Matrix-vector product, real symmetric matrix.
F06PDF Matrix-vector product, real symmetric band matrix.
F06PEF Matrix-vector product, real symmetric packed matrix.
F06PFF Matrix-vector product, real triangular matrix.
F06PGF Matrix-vector product, real triangular band matrix.
F06PHF Matrix-vector product, real triangular packed matrix.
F06PJF Solve system of equations, real triangular matrix.
F06PKF Solve system of equations, real triangular band matrix.
F06PLF Solve system of equations, real triangular packed matrix.
F06PMF Rank-1 update, real general matrix.
F06PPF Rank-1 update, real symmetric matrix.
F06PQF Rank-1 update, real symmetric packed matrix.
F06PRF Rank-2 update, real symmetric matrix .
F06PSF Rank-2 update, real symmetric packed matrix.
F06QFF Performs a matrix copy for real rectangular or trapezoidal matrix.
F06QHF Intializes a real rectangular matrix.
F06QJF Permutes rows or columns of a real rectangular matrix, permutations represented ...
F06QKF Permutes rows or columns of a real rectangular matrix, permutations represented ...
F06QMF Performs an orthorgonal similarity transformation of a real symmetric matrix as ...
F06QPF Performs QR factorisation by sequence of plane rotations, rank-1 update of real ...
F06QQF Performs QR factorisation by sequence of plane rotations, real upper triangular ...
F06QRF Performs QR or RQ factorisation by sequence of plane rotations, real upper Hesse ...
F06QSF Performs QR or RQ factorisation by sequence of plane rotations, real upper spike ...
F06QTF Performs QR factorisation of UZ or RQ factorisation of ZU, U real upper triangul ...
F06QVF Computes upper Hessenberg matrix by sequence of plane rotations, real upper tria ...
F06QWF Computes upper spiked matrix by sequence of plane rotations, real upper triangul ...
F06QXF Applies sequence of plane rotations, real rectangular matrix.
F06RAF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06RBF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06RCF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06RDF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06REF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06RJF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06RKF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06RLF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06RMF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06SAF Matrix-vector product, complex general matrix.
F06SBF Matrix-vector product, complex general band matrix.
F06SCF Matrix-vector product, complex Hermitian matrix.
F06SDF Matrix-vector product, complex Hermitian band matrix.
F06SEF Matrix-vector product, complex Hermitian packed matrix.
F06SFF Matrix-vector product, complex triangular matrix.
F06SGF Matrix-vector product, complex triangular band matrix.
F06SHF Matrix-vector product, complex triangular packed matrix.
F06SJF Solve system of equations, complex triangular matrix.
F06SKF Solve system of equations, complex triangular band matrix.
F06SLF Solve system of equations, complex triangular packed matrix.
F06SMF Rank-1 update, complex general matrix, unconjugated vector.
F06SNF Rank-1 update, complex general matrix, conjugated vector.
F06SPF Rank-1 update, complex Hermitian matrix.
F06SQF Rank-1 update, complex Hermitian packed matrix.
F06SRF Rank-2 update, complex Hermitian matrix.
F06SSF Rank-2 update, complex Hermitian packed matrix.
F06TFF Performs a matrix copy for complex rectangular or trapezoidal matrix.
F06THF Performs matrix initialisation for complex rectangular matrix.
F06TMF Performs unitary similarity transformation of a Hermitian matrix as a sequence o ...
F06TPF Performs QR factorisation by sequence of plane rotations, rank-1 update of compl ...
F06TQF Performs QR factorisation by sequence of plane rotations, complex upper triangul ...
F06TRF Performs QR or RQ factorisation by sequence of plane rotations, complex upper He ...
F06TSF Performs QR or RQ factorisation by sequence of plane rotations, complex upper sp ...
F06TTF Performs QR factorisation of UZ or RQ factorisation of ZU, U complex upper trian ...
F06TVF Computes upper Hessenberg matrix by sequence of plane rotations, complex upper t ...
F06TWF Computes upper spiked matrix by sequence of plane rotations, complex upper trian ...
F06TXF Applies sequence of plane rotations, complex rectangular matrix, real cosine and ...
F06TYF Applies sequence of plane rotations, complex rectangular matrix, complex cosine ...
F06UAF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UBF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UCF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UDF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UEF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UFF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UGF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UHF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UJF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UKF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06ULF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06UMF Returns the value of the 1-norm, or the infinity-norm, or the Frobenius norm, or ...
F06VJF Permutes rows or columns, complex rectangular matrix, permutations represented b ...
F06VKF Permutes rows or columns, complex rectangular matrix, permutations represented b ...
F06VXF Applies sequence of plane rotations, complex rectangular matrix, real cosine and ...
F06YAF Matrix-matrix product, two real rectangular matrices (SGEMM/DGEMM).
F06YCF Matrix-matrix product, one real symmetric matrix, one real rectangular matrix (S ...
F06YFF Matrix-matrix product, one real triangular matrix, one real rectangular matrix ( ...
F06YJF Solves a system of equations with multiple right hand sides, real triangular coe ...
F06YPF Rank-k update of a real symmetric matrix (SSYRK/DSYRK).
F06YRF Rank-2k update of a real symmetric matrix (SSYR2K/DSYR2K).
F06ZAF Matrix-matrix product, two complex rectangular matrices (CGEMM/ZGEMM).
F06ZCF Matrix-matrix product, one complex Hermitian matrix, one complex rectangular mat ...
F06ZFF Matrix-matrix product, one complex triangular matrix, one complex rectangular ma ...
F06ZJF Solves system of equations with multiple right hand sides, complex triangular co ...
F06ZPF Rank-k update of a complex Hermitian matrix (CHERK/ZHERK).
F06ZRF Rank-2k update of a complex Hermitian matrix (CHER2K/ZHER2K).
F06ZTF Matrix-matrix product, one complex symmetric matrix, one complex rectangular mat ...
F06ZUF Rank-k update of a complex symmetric matrix (CSYRK/ZSYRK).
F06ZWF Rank-2k update of a complex symmetric matrix (CSYR2K/ZHER2K).
F07ADF (SGETRF/DGETRF) computes the LU factorization of a real m by n matrix.
F07AEF (SGETRS/DGETRS) solves a real system of linear equations with multiple right-han ...
F07AGF (SGECON/DGECON) estimates the condition number of a real matrix A, where A has b ...
F07AHF (SGERFS/DGERFS) returns error bounds for the solution of a real system of linear ...
F07AJF (SGETRI/DGETRI) computes the inverse of a real matrix A, where A has been factor ...
F07ARF (CGETRF/ZGETRF) computes the LU factorization of a complex m by n matrix.
F07ASF (CGETRS/ZGETRS) solves a complex system of linear equations with multiple right- ...
F07AUF (CGECON/ZGECON) estimates the condition number of a complex matrix A, where A ha ...
F07AVF (CGERFS/ZGERFS) returns error bounds for the solution of a complex system of lin ...
F07AWF (CGETRI/ZGETRI) computes the inverse of a complex matrix A, where A has been fac ...
F07BDF (SGBTRF/DGBTRF) computes the LU factorization of a real m by n band matrix.
F07BEF (SGBTRS/DGBTRS) solves a real band system of linear equations with multiple righ ...
F07BGF (SGBCON/DGBCON) estimates the condition number of a real band matrix A, where A ...
F07BHF (SGBRFS/DGBRFS) returns error bounds for the solution of a real band system of l ...
F07BRF (CGBTRF/ZGBTRF) computes the LU factorization of a complex m by n band matrix.
F07BSF (CGBTRS/ZGBTRS) solves a complex band system of linear equations with multiple r ...
F07BUF (CGBCON/ZGBCON) estimates the condition number of a complex band matrix A, where ...
F07BVF (CGBRFS/ZGBRFS) returns error bounds for the solution of a complex band system o ...
F07FDF (SPOTRF/DPOTRF) computes the Cholesky factorization of a real symmetric positive ...
F07FEF (SPOTRS/DPOTRS) solves a real symmetric positive-definite system of linear equat ...
F07FGF (SPOCON/DPOCON) estimates the condition number of a real symmetric positive-defi ...
F07FHF (SPORFS/DPORFS) returns error bounds for the solution of a real symmetric positi ...
F07FJF (SPOTRI/DPOTRI) computes the inverse of a real symmetric positive-definite matri ...
F07FRF (CPOTRF/ZPOTRF) computes the Cholesky factorization of a complex Hermitian posit ...
F07FSF (CPOTRS/ZPOTRS) solves a complex Hermitian positive-definite system of linear eq ...
F07FUF (CPOCON/ZPOCON) estimates the condition number of a complex Hermitian positive-d ...
F07FVF (CPORFS/ZPORFS) returns error bounds for the solution of a complex Hermitian pos ...
F07FWF (CPOTRI/ZPOTRI) computes the inverse of a complex Hermitian positive-definite ma ...
F07GDF (SPPTRF/DPPTRF) computes the Cholesky factorization of a real symmetric positive ...
F07GEF (SPPTRS/DPPTRS) solves a real symmetric positive-definite system of linear equat ...
F07GGF (SPPCON/DPPCON) estimates the condition number of a real symmetric positive-defi ...
F07GHF (SPPRFS/DPPRFS) returns error bounds for the solution of a real symmetric positi ...
F07GJF (SPPTRI/DPPTRI) computes the inverse of a real symmetric positive-definite matri ...
F07GRF (CPPTRF/ZPPTRF) computes the Cholesky factorization of a complex Hermitian posit ...
F07GSF (CPPTRS/ZPPTRS) solves a complex Hermitian positive-definite system of linear eq ...
F07GUF (CPPCON/ZPPCON) estimates the condition number of a complex Hermitian positive-d ...
F07GVF (CPPRFS/ZPPRFS) returns error bounds for the solution of a complex Hermitian pos ...
F07GWF (CPPTRI/ZPPTRI) computes the inverse of a complex Hermitian positive-definite ma ...
F07HDF (SPBTRF/DPBTRF) computes the Cholesky factorization of a real symmetric positive ...
F07HEF (SPBTRS/DPBTRS) solves a real symmetric positive-definite band system of linear ...
F07HGF (SPBCON/DPBCON) estimates the condition number of a real symmetric positive-defi ...
F07HHF (SPBRFS/DPBRFS) returns error bounds for the solution of a real symmetric positi ...
F07HRF (CPBTRF/ZPBTRF) computes the Cholesky factorization of a complex Hermitian posit ...
F07HSF (CPBTRS/ZPBTRS) solves a complex Hermitian positive-definite band system of line ...
F07HUF (CPBCON/ZPBCON) estimates the condition number of a complex Hermitian positive-d ...
F07HVF (CPBRFS/ZPBRFS) returns error bounds for the solution of a complex Hermitian pos ...
F07MDF (SSYTRF/DSYTRF) computes the Bunch-Kaufman factorization of a real symmetric ind ...
F07MEF (SSYTRS/DSYTRS) solves a real symmetric indefinite system of linear equations wi ...
F07MGF (SSYCON/DSYCON) estimates the condition number of a real symmetric indefinite ma ...
F07MHF (SSYRFS/DSYRFS) returns error bounds for the solution of a real symmetric indefi ...
F07MJF (SSYTRI/DSYTRI) computes the inverse of a real symmetric indefinite matrix A, wh ...
F07MRF (CHETRF/ZHETRF) computes the Bunch-Kaufman factorization of a complex Hermitian ...
F07MSF (CHETRS/ZHETRS) solves a complex Hermitian indefinite system of linear equations ...
F07MUF (CHECON/ZHECON) estimates the condition number of a complex Hermitian indefinite ...
F07MVF (CHERFS/ZHERFS) returns error bounds for the solution of a complex Hermitian ind ...
F07MWF (CHETRI/ZHETRI) computes the inverse of a complex Hermitian indefinite matrix A, ...
F07NRF (CSYTRF/ZSYTRF) computes the Bunch-Kaufman factorization of a complex symmetric ...
F07NSF (CSYTRS/ZSYTRS) solves a complex symmetric system of linear equations with multi ...
F07NUF (CSYCON/ZSYCON) estimates the condition number of a complex symmetric matrix A, ...
F07NVF (CSYRFS/ZSYRFS) returns error bounds for the solution of a complex symmetric sys ...
F07NWF (CSYTRI/ZSYTRI) computes the inverse of a complex symmetric matrix A, where A ha ...
F07PDF (SSPTRF/DSPTRF) computes the Bunch-Kaufman factorization of a real symmetric ind ...
F07PEF (SSPTRS/DSPTRS) solves a real symmetric indefinite system of linear equations wi ...
F07PGF (SSPCON/DSPCON) estimates the condition number of a real symmetric indefinite ma ...
F07PHF (SSPRFS/DSPRFS) returns error bounds for the solution of a real symmetric indefi ...
F07PJF (SSPTRI/DSPTRI) computes the inverse of a real symmetric indefinite matrix A, wh ...
F07PRF (CHPTRF/ZHPTRF) computes the Bunch-Kaufman factorization of a complex Hermitian ...
F07PSF (CHPTRS/ZHPTRS) solves a complex Hermitian indefinite system of linear equations ...
F07PUF (CHPCON/ZHPCON) estimates the condition number of a complex Hermitian indefinite ...
F07PVF (CHPRFS/ZHPRFS) returns error bounds for the solution of a complex Hermitian ind ...
F07PWF (CHPTRI/ZHPTRI) computes the inverse of a complex Hermitian indefinite matrix A, ...
F07QRF (CSPTRF/ZSPTRF) computes the Bunch-Kaufman factorization of a complex symmetric ...
F07QSF (CSPTRS/ZSPTRS) solves a complex symmetric system of linear equations with multi ...
F07QUF (CSPCON/ZSPCON) estimates the condition number of a complex symmetric matrix A, ...
F07QVF (CSPRFS/ZSPRFS) returns error bounds for the solution of a complex symmetric sys ...
F07QWF (CSPTRI/ZSPTRI) computes the inverse of a complex symmetric matrix A, where A ha ...
F07TEF (STRTRS/DTRTRS) solves a real triangular system of linear equations with multipl ...
F07TGF (STRCON/DTRCON) estimates the condition number of a real triangular matrix.
F07THF (STRRFS/DTRRFS) returns error bounds for the solution of a real triangular syste ...
F07TJF (STRTRI/DTRTRI) computes the inverse of a real triangular matrix.
F07TSF (CTRTRS/ZTRTRS) solves a complex triangular system of linear equations with mult ...
F07TUF (CTRCON/ZTRCON) estimates the condition number of a complex triangular matrix.
F07TVF (CTRRFS/ZTRRFS) returns error bounds for the solution of a complex triangular sy ...
F07TWF (CTRTRI/ZTRTRI) computes the inverse of a complex triangular matrix.
F07UEF (STPTRS/DTPTRS) solves a real triangular system of linear equations with multipl ...
F07UGF (STPCON/DTPCON) estimates the condition number of a real triangular matrix, usin ...
F07UHF (STPRFS/DTPRFS) returns error bounds for the solution of a real triangular syste ...
F07UJF (STPTRI/DTPTRI) computes the inverse of a real triangular matrix, using packed s ...
F07USF (CTPTRS/ZTPTRS) solves a complex triangular system of linear equations with mult ...
F07UUF (CTPCON/ZTPCON) estimates the condition number of a complex triangular matrix, u ...
F07UVF (CTPRFS/ZTPRFS) returns error bounds for the solution of a complex triangular sy ...
F07UWF (CTPTRI/ZTPTRI) computes the inverse of a complex triangular matrix, using packe ...
F07VEF (STBTRS/DTBTRS) solves a real triangular band system of linear equations with mu ...
F07VGF (STBCON/DTBCON) estimates the condition number of a real triangular band matrix.
F07VHF (STBRFS/DTBRFS) returns error bounds for the solution of a real triangular band ...
F07VSF (CTBTRS/ZTBTRS) solves a complex triangular band system of linear equations with ...
F07VUF (CTBCON/ZTBCON) estimates the condition number of a complex triangular band matr ...
F07VVF (CTBRFS/ZTBRFS) returns error bounds for the solution of a complex triangular ba ...
F08AEF Computes the QR factorization of a real m-by-n matrix (Alternate name DGEQRF).
F08AFF Generates all or part of the real orthogonal matrix Q from a QR factorization co ...
F08AGF Multiplies an arbitrary real matrix C by the real orthogonal matrix Q from a QR ...
F08AHF Computes the LQ factorization of a real m-by-n matrix (Alternate name DGELQF).
F08AJF Generates all or part of the real orthogonal matrix Q from an LQ factorization c ...
F08AKF Multiplies an arbitrary real matrix C by the real orthogonal matrix Q from an LQ ...
F08ASF Computes the QR factorization of a complex m-by-n matrix (Alternate name ZGEQRF) ...
F08ATF Generates all or part of the complex unitary matrix Q from a QR factorization co ...
F08AUF Multiplies an arbitrary complex matrix C by the complex unitary matrix Q from a ...
F08AVF Computes the LQ factorization of a complex m-by-n matrix (Alternate name ZGELQF) ...
F08AWF Generates all or part of the complex unitary matrix Q from an LQ factorization c ...
F08AXF Multiplies an arbitrary complex matrix C by the complex unitary matrix Q from an ...
F08BEF Computes the QR factorization, with column pivoting, of a real m-by-n matrix (Al ...
F08BSF Computes the QR factorization, with column pivoting, of a complex m-by-n matrix ...
F08FCF Computes all the eigenvalues, and optionally all the eigenvectors, of a real sym ...
F08FEF Reduces a real symmetric matrix to tridiagonal form (Alternate name DSYTRD).
F08FFF Generates the real orthogonal matrix Q, which was determined by F08FEF (DSYTRD) ...
F08FGF Multiplies an arbitrary real matrix C by the real orthogonal matrix Q which was ...
F08FQF Computes all the eigenvalues, and optionally all the eigenvectors, of a complex ...
F08FSF Reduces a complex Hermitian matrix to tridiagonal form (Alternate name ZHETRD).
F08FTF Generates the complex unitary matrix Q, which was determined by F08FSF (ZHETRD) ...
F08FUF Multiplies an arbitrary complex matrix C by the complex unitary matrix Q which w ...
F08GCF Computes all the eigenvalues, and optionally all the eigenvectors, of a real sym ...
F08GEF Reduces a real symmetric matrix to tridiagonal form, using packed storage (Alter ...
F08GFF Generates the real orthogonal matrix Q, which was determined by F08GEF (DSPTRD) ...
F08GGF Multiplies an arbitrary real matrix C by the real orthogonal matrix Q which was ...
F08GQF Computes all the eigenvalues, and optionally all the eigenvectors, of a complex ...
F08GSF Reduces a complex Hermitian matrix to tridiagonal form, using packed storage (Al ...
F08GTF Generates the complex unitary matrix Q, which was determined by F08GSF (ZHPTRD) ...
F08GUF Multiplies an arbitrary complex matrix C by the complex unitary matrix Q which w ...
F08HCF Computes all the eigenvalues, and optionally all the eigenvectors, of a real ymm ...
F08HEF Reduces a real symmetric band matrix to tridiagonal form (Alternate name DSBTRD) ...
F08HQF Computes all the eigenvalues, and optionally all the eigenvectors, of a complex ...
F08HSF Reduces a complex Hermitian band matrix to tridiagonal form (Alternate name ZHBT ...
F08JCF Computes all the eigenvalues, and optionally all the eigenvectors, of a real sym ...
F08JEF Computes all the eigenvalues, and optionally all the eigenvectors, of a real sym ...
F08JFF Computes all the eigenvalues of a real symmetric tridiagonal matrix (Alternate n ...
F08JGF Computes all the eigenvalues, and optionally all the eigenvectors, of a real sym ...
F08JJF Computes some (or all) of the eigenvalues of a real symmetric tridiagonal matrix ...
F08JKF Computes the eigenvectors of a real symmetric tridiagonal matrix corresponding t ...
F08JSF Computes all the eigenvalues, and optionally all the eigenvectors, of a complex ...
F08JUF Computes all the eigenvalues, and optionally all the eigenvectors, of a complex ...
F08JXF Computes the eigenvectors of a real symmetric tridiagonal matrix corresponding t ...
F08KEF Reduces a real m-by-n matrix to bidiagonal form (Alternate name DGEBRD).
F08KFF Generates one of the real orthogonal matrices Q or transpose(P) which were deter ...
F08KGF Multiplies an arbitrary real matrix C by one of the real orthogonal matrices Q o ...
F08KSF Reduces a complex m-by-n matrix to bidiagonal form (Alternate name ZGEBRD).
F08KTF Generates one of the complex unitary matrices Q or P**H which were determined by ...
F08KUF Multiplies an arbitrary complex matrix C by one of the complex unitary matrices ...
F08LEF Reduces a real m by n band matrix to upper bidiagonal form. (DGBBRD).
F08LSF Reduces a complex m by n band matrix to real upper bidiagonal form. (ZGBBRD).
F08MEF Computes the singular value decomposition of a real upper or lower bidiagonal ma ...
F08MSF Computes the singular value decomposition of a complex general matrix which has ...
F08NEF Reduces a real general matrix to Hessenberg form (Alternate name DGEHRD).
F08NFF Generates the real orthogonal matrix Q which was determined by F08NEF (DGEHRD), ...
F08NGF Multiplies an arbitrary real matrix C by the real orthogonal matrix Q which was ...
F08NHF Balances a real general matrix in order to improve the accuracy of computed eige ...
F08NJF Transforms eigenvectors of a balanced matrix to those of the original real nonsy ...
F08NSF Reduces a complex general matrix to Hessenberg form (Alternate name ZGEHRD).
F08NTF Generates the complex unitary matrix Q which was determined by F08NSF (ZGEHRD), ...
F08NUF Multiplies an arbitrary complex matrix C by the complex unitary matrix Q which w ...
F08NVF Balances a complex general matrix in order to improve the accuracy of computed e ...
F08NWF Transforms eigenvectors of a balanced matrix to those of the original complex ge ...
F08PEF Computes all the eigenvalues, and optionally the Schur factorization, of a real ...
F08PKF Computes selected left and/or right eigenvectors of a real upper Hessenberg matr ...
F08PSF Computes all the eigenvalues, and optionally the Schur factorization, of a compl ...
F08PXF Computes selected left and/or right eigenvectors of a complex upper Hessenberg m ...
F08QFF Reorders the Schur factorization of a real general matrix (Alternate name DTREXC ...
F08QGF Reorders the Schur factorization of a real general matrix so that a selected clu ...
F08QHF Solves the real quasi-triangular Sylvester matrix equation (Alternate name DTRSY ...
F08QKF Computes selected left and/or right eigenvectors of a real upper quasi-triangula ...
F08QLF Estimates condition numbers for specified eigenvalues and/or right eigenvectors ...
F08QTF Reorders the Schur factorization of a complex general matrix (Alternate name ZTR ...
F08QUF Reorders the Schur factorization of a complex general matrix so that a selected ...
F08QVF Solves the complex triangular Sylvester matrix equation (Alternate name ZTRSYL).
F08QXF Computes selected left and/or right eigenvectors of a complex upper triangular m ...
F08QYF Estimates condition numbers for specified eigenvalues and/or right eigenvectors ...
F08SEF Reduces a real symmetric-definite generalized eigenproblem Az = lambda Bz, ABz = ...
F08SSF Reduces a complex Hermitian-definite generalized eigenproblem Az = lambda Bz, AB ...
F08TEF Reduces a real symmetric-definite generalized eigenproblem Az = lambda Bz, ABz = ...
F08TSF Reduces a complex Hermitian-definite generalized eigenproblem Az = lambda Bz, AB ...
F08UEF Reduces a real symmetric-definite generalized eigenproblem Az = lambda Bz to the ...
F08UFF Computes a split Cholesky factorization of a real symmetric positive-definite ba ...
F08USF Reduces a complex Hermitian-definite generalized eigenproblem Az = lambda Bz to ...
F08UTF Computes a split Cholesky factorization of a complex Hermitian positive-definite ...
F11BAF A set-up routine, the first in a suite of three routines for the iterative solut ...
F11BBF An iterative solver for a general (nonsymmetric) system of simultaneous linear e ...
F11BCF Third in a suite of three routines for the iterative solution of a general (nons ...
F11BDF A set-up routine, the first in a suite of three routines for the iterative solut ...
F11BEF An iterative solver for a real general (nonsymmetric) system of simultaneous lin ...
F11BFF The third in a suite of three routines for the iterative solution of a real gene ...
F11BRF A set-up routine, the first in a suite of three routines for the iterative solut ...
F11BSF An iterative solver for a complex general (non-Hermitian) system of simultaneous ...
F11BTF The third in a suite of three routines for the iterative solution of a complex g ...
F11DAF Computes an incomplete LU factorization of a real sparse nonsymmetric matrix, re ...
F11DBF Solves a system of linear equations involving the incomplete LU preconditioning ...
F11DCF Solves a real sparse nonsymmetric system of linear equations, represented in coo ...
F11DDF Solves a system of linear equations involving the preconditioning matrix corresp ...
F11DEF Solves a real sparse nonsymmetric system of linear equations, represented in coo ...
F11DNF Computes an incomplete LU factorization of a complex sparse non-Hermitian matrix ...
F11DPF Solves a system of complex linear equations involving the incomplete LU precondi ...
F11DQF Solves a complex sparse non-Hermitian system of linear equations, represented in ...
F11DRF Solves a system of linear equations involving the preconditioning matrix corresp ...
F11DSF Solves a complex sparse non-Hermitian system of linear equations, represented in ...
F11GAF A set-up routine, the first in a suite of three routines for the iterative solut ...
F11GBF An iterative solver for a large sparse symmetric system of simultaneous linear e ...
F11GCF The third in a suite of three routines for the iterative solution of a large spa ...
F11JAF Computes an incomplete Cholesky factorization of a real sparse symmetric matrix, ...
F11JBF Solves a system of linear equations involving the incomplete Cholesky preconditi ...
F11JCF Solves a real sparse symmetric system of linear equations, represented in symmet ...
F11JDF Solves a system of linear equations involving the preconditioning matrix corresp ...
F11JEF Solves a real sparse symmetric system of linear equations, represented in symmet ...
F11JNF Computes an incomplete Cholesky factorization of a complex sparse Hermitian matr ...
F11JPF Solves a system of complex linear equations involving the incomplete Cholesky pr ...
F11JQF Solves a complex sparse Hermitian system of linear equations, represented in sym ...
F11JRF Solves a system of linear equations involving the preconditioning matrix corresp ...
F11JSF Solves a complex sparse Hermitian system of linear equations, represented in sym ...
F11XAF Computes a matrix-vector or transposed matrix-vector product involving a real sp ...
F11XEF Computes a matrix-vector product involving a real sparse symmetric matrix stored ...
F11XNF Computess a matrix-vector or conjugate transposed matrix-vector product involvin ...
F11XSF Computes a matrix-vector product involving a complex sparse Hermitian matrix sto ...
F11ZAF Sorts the non-zero elements of a real sparse nonsymmetric matrix, represented in ...
F11ZBF Sorts the non-zero elements of a real sparse symmetric matrix, represented in sy ...
F11ZNF Sorts the non-zero elements of a complex sparse non-Hermitian matrix, represente ...
F11ZPF Sorts the non-zero elements of a sparse complex Hermitian matrix, represented in ...
G01AAF Calculates the mean, standard deviation, coefficients of skewness and kurtosis, ...
G01ABF Computes the means, standard deviations, corrected sums of squares and products, ...
G01ADF Calculates the mean, standard deviation and coefficients of skewness and kurtosi ...
G01AEF Constructs a frequency distribution of a variable, according to either user-supp ...
G01AFF Performs the analysis of a two-way r*c contingency table or classification. If r ...
G01AGF Performs a scatter plot of two variables on a character printing device, with a ...
G01AHF Performs a scatter plot of a vector against the normal scores for a sample of th ...
G01AJF Prints a histogram on a character printing device, with user control over size, ...
G01ALF Computes a five-point summary (median, hinges and extremes).
G01ARF Constructs a stem and leaf plot.
G01ASF Constructs a box and whisker plot.
G01BJF Returns the lower tail, upper tail and point probabilities associated with a Bin ...
G01BKF Returns the lower tail, upper tail and point probabilities associated with a Poi ...
G01BLF Returns the lower tail, upper tail and point probabilities associated with a hyp ...
G01DAF Computes a set of Normal scores, i.e. the expected values of an ordered set of i ...
G01DBF Calculates an approximation to the set of Normal Scores, i.e. the expected value ...
G01DCF Computes an approximation to the variance-covariance matrix of an ordered set of ...
G01DDF Calculates Shapiro and Wilk's W statistic and its significance level for testing ...
G01DHF Computes the ranks, Normal scores, an approximation to the Normal scores or the ...
G01EAF Returns a one or two tail probability for the standard Normal distribution, via ...
G01EBF Student's t-distribution.
G01ECF Chi-square distribution.
G01EDF F-distribution.
G01EEF Computes upper and lower tail and probability density function probabilities for ...
G01EFF Computes probabilities for the gamma distribution.
G01EMF Returns the probability associated with the lower tail of the distribution of th ...
G01EPF Calculates upper and lower bounds for the significance of a Durbin-Watson statis ...
G01ERF Returns the probability associated with the lower tail of the von Mises distribu ...
G01EYF Computes probabilities for the one-sample Kolmogorov-Smirnov distribution.
G01EZF Computes probabilities for the two-sample Kolmogorov-Smirnov distribution.
G01FAF Returns the deviate associated with the given probability of the standard Normal ...
G01FBF Computes deviates for Student's t-distribution.
G01FCF Computes deviates for the chi-square distribution.
G01FDF Computes deviates for the F-distribution.
G01FEF Computes deviates for the beta distribution.
G01FFF Computes deviates for the gamma distribution.
G01FMF Returns the deviate associated with the lower tail probability of the distributi ...
G01GBF Computes probabilities for the non-central Student's t-distribution.
G01GCF Computes probabilities for the non-central chi-square distribution.
G01GDF Computes probabilities for the non-central F-distribution.
G01GEF Computes probabilities for the non-central beta distribution.
G01HAF Computes probabilities for the bivariate Normal.
G01HBF Returns the upper tail, lower tail or central probability associated with a mult ...
G01JCF Computes probabilities for a positive linear combination of chi-square variables ...
G01JDF Calculates the lower tail probability for a linear combination of (central) chi- ...
G01MBF Returns the reciprocal of Mills' Ratio via the routine name.
G01NAF Computes the cumulants and moments of quadratic forms in Normal variates.
G01NBF Computes the moments of ratios of quadratic forms in Normal variables and relate ...
G02BAF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BBF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BCF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BDF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BEF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BFF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BGF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BHF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BJF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BKF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BLF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BMF Computes means and standard deviations of variables, sums of squares and cross-p ...
G02BNF Computes Kendall and/or Spearman non-parametric rank correlation coefficients fo ...
G02BPF Computes Kendall and/or Spearman non-parametric rank correlation coefficients fo ...
G02BQF Computes Kendall and/or Spearman non-parametric rank correlation coefficients fo ...
G02BRF Computes Kendall and/or Spearman non-parametric rank correlation coefficients fo ...
G02BSF Computes Kendall and/or Spearman non-parametric rank correlation coefficients fo ...
G02BTF Update a weighted sum of squares matrix with a new observation.
G02BUF Computes a weighted sum of squares matrix.
G02BWF Computes a correlation matrix from a sum of squares matrix.
G02BXF Computes (optionally weighted) correlation and covariance matrices.
G02BYF Computes a partial correlation/variance-covariance matrix from a correlation or ...
G02CAF Performs a simple linear regression with dependent variable Y and independent va ...
G02CBF Performs a simple linear regression with no constant with dependent variable Y a ...
G02CCF Performs a simple linear regression with dependent variable Y and independent va ...
G02CDF Performs a simple linear regression with no constant, with dependent variable Y ...
G02CEF Takes selected elements from two vectors (typically vectors of means and standar ...
G02CFF Re-orders the elements in two vectors (typically vectors of means and standard d ...
G02CGF Performs a multiple linear regression on a set of variables whose means, sums of ...
G02CHF Performs a multiple linear regression with no constant on a set of variables who ...
G02DAF Fits a general (multiple) linear regression model.
G02DCF Add/delete an observation to/from a general linear regression model.
G02DDF Estimates of linear parameters and general linear regression model from updated ...
G02DEF Add a new variable to a general linear regression model.
G02DFF Delete a variable from a general linear regression model.
G02DGF Fits a general linear regression model for new dependent variable.
G02DKF Estimates and standard errors of parameters of a general linear regression model ...
G02DNF Computes estimable function of a general linear regression model and its standar ...
G02EAF Computes residual sums of squares for all possible linear regressions for a set ...
G02ECF Calculates R-square and Cp values from residual sums of squares.
G02EEF Fits a linear regression model by forward selection.
G02FAF Calculates standardized residuals and influence statistics.
G02FCF Calculates the Durbin-Watson statistic, for a set of residuals, and the upper an ...
G02GAF Fits a generalized linear model with Normal errors.
G02GBF Fits a generalized linear model with binomial errors.
G02GCF Fits a generalized linear model with Poisson errors.
G02GDF Fits a generalized linear model with gamma errors.
G02GKF Estimates and standard errors of parameters of a generalized linear model for gi ...
G02GNF Computes estimable function of a generalized linear model and its standard error ...
G02HAF Performs bounded influence regression (M-estimates). Several standard methods ar ...
G02HBF Finds, for a real matrix X of full column rank, a lower triangular matrix A such ...
G02HDF Performs bounded influence regression (M-estimates) using an iterative weighted ...
G02HFF Calculates an estimate of the asymptotic variance-covariance matrix for the boun ...
G02HKF Calculates a robust estimation of a correlation matrix, Huber's weight function.
G02HLF Calculates a robust estimation of a correlation matrix, user supplied weight fun ...
G02HMF Calculates a robust estimation of a correlation matrix, user supplied weight fun ...
G03AAF Performs principal component analysis.
G03ACF Performs canonical variate analysis.
G03ADF Performs canonical correlation analysis.
G03BAF Computes orthogonal rotations for a matrix of loadings using a generalized ortho ...
G03BCF Computes Procrustes rotations in which an orthogonal rotation is found so that a ...
G03CAF Computes the maximum likelihood estimates of the parameters of a factor analysis ...
G03CCF Computes factor score coefficients from the result of fitting a factor analysis ...
G03DAF Computes a test statistic for the equality of within-group covariance matrices a ...
G03DBF Computes Mahalanobis squared distances for group or pooled variance-covariance m ...
G03DCF Allocates observations to groups according to selected rules. It is intended for ...
G03EAF Computes a distance (dissimilarity) matrix.
G03ECF Performs