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Modules in CMLIB

ACOSH (DACOSH) arccosh(x).
ADAPT Computes the definite integral of a user specified function over a hyper-rectang ...
AI (DAI) Airy function Ai(x).
AID Forms a tree of clusters by splitting cases on values of individual variables to ...
AIE (DAIE) Exponentially scaled Airy function exp(x)Ai(x).
ALBETA (DLBETA) ln(Beta(a,b)), for positive real a,b.
ALGAMS (DLGAMS) ln(abs(gamma(x))) and sign(gamma(x)).
ALI (DLI) Logarithmic integral, integral from 0 to x of 1/ln(t).
ALNGAM (DLNGAM) ln(abs(gamma(x))).
ALNREL (DLNREL) ln(x+1).
ASINH (DASINH) arcsinh(x).
ASSIGN Assigns each case to the cluster whose center is a minimum Euclidean distance fr ...
ATANH (DATANH) arctanh(x).
B2INK (DB2INK) Computes parameters of a piecewise-polynomial that interpolates a given set of t ...
B2VAL (DB2VAL) Evaluates the two-dimensional interpolating function computed by B2INK or one of ...
B3INK (DB3INK) Computes parameters of a piecewise-polynomial that interpolates a given set of t ...
B3VAL (DB3VAL) Evaluates the three-dimensional interpolating function computed by B3INK or one ...
BAKVEC Forms eigenvectors of certain real non-symmetric tridiagonal matrix from symmetr ...
BALANC Balances a general real matrix and isolates eigenvalues whenever possible.
BALBAK Forms eigenvectors of real general matrix from eigenvectors of matrix output fro ...
BANDR Reduces real symmetric band matrix to symmetric tridiagonal matrix and, optional ...
BANDV Forms eigenvectors of real symmetric band matrix associated with a set of ordere ...
BESI0 (DBESI0) Modified Bessel function I0(x).
BESI0E (DBSI0E) Exponentially scaled modified Bessel function exp(-abs(x))I0(x).
BESI1 (DBESI1) Modified Bessel function I1(x).
BESI1E (DBSI1E) Exponentially scaled modified Bessel function exp(-abs(x))I1(x).
BESJ (DBESJ) Sequence of Bessel functions, J(alpha+k-1)(x) k=1,...,N for positive real alpha, ...
BESJ0 (DBESJ0) Bessel function J0(x).
BESJ1 (DBESJ1) Bessel function J1(x).
BESK0 (DBESK0) Modified Bessel function K0(x).
BESK0E (DBSK0E) Exponentially scaled modified Bessel function exp(x)K0(x).
BESK1 (DBESK1) Modified Bessel function K1(x).
BESK1E (DBSK1E) Exponentially scaled modified Bessel function exp(x)K1(x).
BESKES (DBSKES) Sequence of exponentially scaled Bessel functions exp(x)Kr(x), for r real.
BESKS (DBESKS) Sequence of Bessel functions Kr(x), for r real.
BESY Sequence of Bessel functions Y(alpha + k-1)(x), k=1,n for positive x and non-neg ...
BESY0 (DBESY0) Modified Bessel function Y0(x).
BESY1 (DBESY1) Modified Bessel function Y1(x).
BETA (DBETA) Beta(a,b), for positive real a,b.
BETAI (DBETAI) Incomplete Beta function.
BFQAD (DBFQAD) Integrates function times derivative of B-spline from X1 to X2. The B-spline is ...
BI (DBI) Airy function Bi(x).
BIE (DBIE) Exponentially scaled Airy function exp(-x)Bi(x).
BINOM (DBINOM) Binomial coefficient. Input is integer, output is real.
BINT4 (DBINT4) Computes B-spline which interpolates given X,Y data with various end conditions.
BINTK (DBINTK) Produces coefficients of k-th order B-spline with given knots and with values at ...
BISECT Compute eigenvalues of symmetric tridiagonal matrix in given interval using Stur ...
BLKTRI Solves block tridiagonal systems of linear algebraic equations arising from the ...
BNDACC Introduce new blocks of data for banded least squares problems.
BNDSOL Solves least squares problem AX=B for banded matrices.
BOXES Produces a plot in the form of a 3-dimensional box of three of more variables fo ...
BQR Computes some of the eigenvalues of a real symmetric band matrix using the QR me ...
BSPDR (DBSPDR) Constructs divided difference table from B representation of B-spline for a deri ...
BSPEV (DBSPEV) Calculates the value of a spline and its derivatives at X from its B representat ...
BSPPP (DBSPPP) Converts from B representation of B-spline to piecewise polynomial representatio ...
BSPVD (DBSPVD) Calculates value and derivatives of order less than NDERIV of all B-spline basis ...
BSPVN (DBSPVN) Calculates the value of all (possibly) nonzero B-spline basis functions at X of ...
BSQAD (DBSQAD) Computes the integral of a B-spline from X1 to X2. The B-spline must be in B rep ...
BUILD Builds clusters by the K-means algorithm, printing the results for all intermedi ...
BURG Computes the coefficients of a finite length causal forward or backward predicti ...
BVALU (DBVALU) Calculates (at X) the value of the IDERIV-th derivative of the B-spline from its ...
BVSUP Solves boundary value problems for a linear system of ODEs using superposition, ...
CACOS arccos(z).
CACOSH arccosh(z).
CARG Argument of a complex number.
CASIN arcsin(z).
CASINH arcsinh(z).
CATAN arctan(z).
CATAN2 arctan(z1/z2).
CATANH arctanh(z).
CAXPY Compute a scalar times a vector plus a vector, y = ax + y, all complex.
CBABK2 Forms eigenvectors of complex general matrix from eigenvectors of matrix output ...
CBAL Balances a complex general matrix and isolates eigenvalues whenever possible.
CBETA Beta(a,b), for complex a,b (with positive real parts).
CBLKTR Solves certain complex block tridiagonal systems of linear equations arising fro ...
CBRT (DCBRT) Cube root of a real argument.
CCBRT Cube root of a complex argument.
CCHDC Compute Cholesky decomposition of complex positive definite matrix with optional ...
CCHDD Downdates Cholesky factorization of positive definite complex matrix.
CCHEX Updates Cholesky factorization of positive definite complex matrix.
CCHUD Updates Cholesky factorization of positive definite matrix.
CCOPY Copy a vector X to a vector Y, both complex.
CCOSH cosh(z).
CCOT cot(z).
CDCDOT Computes complex precision dot product and adds a scalar. Uses double precision ...
CDOTC Compute complex dot product using conjugated vector components.
CDOTU Compute complex dot product using unconjugated vector components.
CDRIV1 Numerical integration of complex initial value problems for ordinary differentia ...
CDRIV2 Numerical integration of complex initial value problems for ordinary differentia ...
CDRIV3 Numerical integration of complex initial value problems for ODEs, Gear and Adams ...
CEXPRL (exp(z)-1)/z.
CFFTB Backward complex discrete (fast) Fourier transform. Performs Fourier synthesis.
CFFTF Forward complex discrete (fast) Fourier transform. Performs Fourier analysis.
CFFTI Initialize array WSAVE for forward/back FFT.
CG Computes the eigenvalues and, optionally, the eigenvectors of a complex general ...
CGAMMA gamma(z).
CGAMR 1/gamma(z).
CGBCO Compute LU factorization of complex band matrix and estimate its condition.
CGBDI Compute determinant of complex band matrix from its LU factors. (No provision fo ...
CGBFA Compute LU factorization of general complex band matrix.
CGBSL Uses LU factorization of complex band matrix to solve systems.
CGECO Compute LU factorization of general complex matrix and estimate its condition.
CGEDI Compute determinant and/or inverse of general complex matrix from its LU factors ...
CGEEV Computes the eigenvalues and, optionally, the eigenvectors of a general complex ...
CGEFA Compute LU factorization of general complex matrix.
CGEFS Factors and solves a general complex system of linear equations.
CGEIR Factors and solves a general complex system of linear equations and provides est ...
CGESL Use LU factorization of general complex matrix to solve systems.
CGTSL Solves systems with general complex tridiagonal matrix.
CH Computes the eigenvalues and, optionally, eigenvectors of a complex Hermitian ma ...
CHFDV (DCHFDV) Evaluates a cubic polynomial and its first derivative at an array of points. The ...
CHFEV (DCHFEV) Evaluates a cubic polynomial given in Hermite form at an array of points.
CHICO Computes factorization of complex Hermitian indefinite matrix and estimates its ...
CHIDI Uses factorization of complex Hermitian indefinite matrix to compute its inertia ...
CHIEV Computes the eigenvalues and, optionally, the eigenvectors of a complex Hermitia ...
CHIFA Computes factorization of complex Hermitian indefinite matrix.
CHISL Uses factorization of complex Hermitian indefinite matrix to solve systems.
CHKDER Checks gradients of M nonlinear functions in N variables evaluated at a point X ...
CHPCO Computes factorization of complex Hermitian indefinite matrix stored in packed f ...
CHPDI Uses factorization of complex Hermitian indefinite matrix stored in packed form ...
CHPFA Computes factorization of complex Hermitian indefinite matrix stored in packed f ...
CHPSL Uses factorization of complex Hermitian indefinite matrix stored in packed form ...
CHU (DCHU) Confluent hypergeometric function, U(a,b,x).
CINVIT Computes eigenvectors of a complex upper Hessenberg matrix associated with speci ...
CJYHBS Bessel and Struve functions J0(z), J1(z), Y0(z), Y1(z), H0(z), H1(z).
CLBETA ln(Beta(a,b)), for complex a,b (with positive real parts).
CLNGAM ln(gamma(z)).
CLNREL ln(1+z).
CLOG10 log(z).
CMGNBN Solves certain complex block tridiagonal systems of linear equations arising fro ...
CNBCO Factors a complex band matrix by Gaussian elimination and estimates its conditio ...
CNBDI Computes the determinant of a complex band matrix from previously computed facto ...
CNBFA Factors a non-symmetric complex band matrix by elimination.
CNBFS Factors and solves a general complex band matrix system of linear equations.
CNBIR Factors and solves a general nonsymmetric complex band system of equations and e ...
CNBSL Solves the nonsymmetric complex band system of equations using factors previousl ...
COMBAK Forms eigenvectors of complex general matrix from eigenvectors of upper Hessenbe ...
COMHES Reduces complex general matrix to complex upper Hessenberg form using stabilized ...
COMLR Computes eigenvalues of a complex upper Hessenberg matrix using the modified LR ...
COMLR2 Computes eigenvalues and eigenvectors of complex upper Hessenberg matrix using m ...
COMQR Computes eigenvalues of complex upper Hessenberg matrix using the QR method.
COMQR2 Computes eigenvalues and eigenvectors of complex upper Hessenberg matrix.
CORTB Forms eigenvectors of complex general matrix from eigenvectors of upper Hessenbe ...
CORTH Reduces complex general matrix to complex upper Hessenberg using unitary similar ...
COSDG (DCOSDG) cos(x), x in degrees.
COSQB Fast Fourier transform of quarter wave data. Computes a sequence from cosine ser ...
COSQF Fast Fourier transform of quarter wave data. Fourier analysis. Computes coeffici ...
COSQI Initialize array WSAVE for SUBROUTINES COSQF and COSQB.
COST Discrete fast cosine transform of even sequence X(I).
COSTI Initialize array WSAVE for SUBROUTINE COST.
COT (DCOT) cot(x).
CPBCO Uses Cholesky algorithm to compute factorization of complex positive definite ba ...
CPBDI Uses factorization of complex positive definite band matrix to compute determina ...
CPBFA Uses Cholesky algorithm to compute factorization of complex positive definite ba ...
CPBSL Uses factorization of complex positive definite band matrix to solve systems.
CPOCO Uses Cholesky algorithm to compute factorization of complex positive definite ma ...
CPODI Uses factorization of complex positive definite matrix to compute its determinan ...
CPOFA Uses Cholesky algorithm to compute factorization of complex positive definite ma ...
CPOFS Factors and solves positive definite symmetric complex system of linear equation ...
CPOIR Solves positive definite Hermitian complex system of linear equations and estima ...
CPOSL Uses factorization of complex positive definite matrix to solve systems.
CPPCO Uses Cholesky algorithm to factor complex positive definite matrix stored in pac ...
CPPDI Uses factorization of complex positive definite matrix stored in packed form to ...
CPPFA Uses Cholesky algorithm to factor complex positive definite matrix stored in pac ...
CPPSL Uses factorization of complex positive definite matrix stored in packed form to ...
CPQR79 Computes all the zeros of a general complex polynomial using eigenvalue methods, ...
CPSI Psi (digamma) of complex argument.
CPTSL Solves systems with complex positive definite tridiagonal matrix.
CPZERO Computes all the zeros of a polynomial with complex coefficients. Error bounds a ...
CQRDC Computes QR decomposition of general complex matrix.
CQRSL Applies the output of CQRDC to compute coordinate transformations, projections, ...
CROTG Construct Givens plane rotation of complex matrix.
CSCAL Multiply a vector by a scalar, y = ay, both complex.
CSEVL (DCSEVL) Evaluates a Chebyshev polynomial series.
CSICO Computes factorization of complex symmetric indefinite matrix and estimates its ...
CSIDI Uses factorization of complex symmetric indefinite matrix to compute its determi ...
CSIFA Computes factorization of complex symmetric indefinite matrix.
CSINH sinh(z).
CSISL Uses factorization of complex symmetric indefinite matrix to solve systems.
CSORT Sorts a character array in either increasing or decreasing order. Optionally ano ...
CSPCO Computes factorization of complex symmetric indefinite matrix stored in packed f ...
CSPDI Uses factorization of complex symmetric indefinite matrix stored in packed form ...
CSPFA Computes factorization of complex symmetric indefinite matrix stored in packed f ...
CSPSL Uses factorization of complex symmetric indefinite matrix stored in packed form ...
CSROT Applies Givens plane rotation to complex matrix.
CSSCAL Multiply a complex vector by a single-precision scalar, y = ay.
CSVDC Computes singular value decomposition of general complex matrix.
CSWAP Interchange vectors X and Y, both complex.
CTAN tan(z).
CTANH tanh(z).
CTRCO Estimates condition of complex triangular matrix.
CTRDI Computes determinant and/or inverse of complex triangular matrix.
CTRSL Solves systems with complex triangular matrix.
D1MACH (R1MACH) Provides machine dependent information, e.g. D1MACH(4) returns double precision ...
DACOSH (ACOSH) arccosh(x), for double precision x.
DAI (AI) Airy function Ai(x).
DAIE (AIE) Exponentially scaled Airy function exp(x)Ai(x).
DASINH (ASINH) arcsinh(x), for double precision x.
DASUM (SASUM) Compute double precision sum of absolute values of a single precision vector.
DATANH (ATANH) arctanh(x), for double precision x.
DAWS (DDAWS) Dawson's integral.
DAXPY (SAXPY) Compute the scalar times a vector plus a vector, y = ax + y, all double precisio ...
DB2INK (B2INK) Computes parameters of a piecewise-polynomial that interpolates a given set of t ...
DB2VAL (B2VAL) Evaluates the two-dimensional interpolating function computed by DB2INK or one o ...
DB3INK (B3INK) Computes parameters of a piecewise-polynomial that interpolates a given set of t ...
DB3VAL (B3VAL) Evaluates the three-dimensional interpolating function computed by DB3INK or one ...
DBESI0 (BESI0) Bessel function I0(x).
DBESI1 (BESI1) Bessel function I1(x).
DBESJ (BESJ) Sequence of Bessel functions J(ALPHA+k-1)(x), k=1,...n for non-negative ALPHA an ...
DBESJ0 (BESJ0) Bessel function J0(x).
DBESJ1 (BESJ1) Bessel function J1(x).
DBESK0 (BESK0) Modified Bessel function K0(x).
DBESK1 (BESK1) Modified Bessel function K1(x).
DBESKS (BESKS) Sequence of Bessel functions Kr(x), for r real.
DBESY0 (BESY0) Bessel function Y0(x).
DBESY1 (BESY1) Bessel function Y1(x).
DBETA (BETA) Beta(a,b), for positive double precision real a,b.
DBETAI (BETAI) Incomplete Beta function of double precision arguments.
DBFQAD (BFQAD) Integrates function times derivative of B-spline from X1 to X2. The B-spline is ...
DBI (BI) Airy function Bi(x).
DBIE (BIE) Exponentially scaled Airy function exp(-x)Bi(x).
DBINOM (BINOM) Binomial coefficient. Input is integer, output is double precision real.
DBINT4 (BINT4) Computes B-spline which interpolates given X,Y data with various end conditions.
DBINTK (BINTK) Produces coefficients of k-th order B-spline with given knots and with values at ...
DBOCLS Solves the general linearly constrained linear least squares problems.
DBOLS Solves linear least squares problems with simple bounds on the variables.
DBSI0E (BESI0E) Exponentially scaled modified Bessel function exp(-x)I0(x).
DBSI1E (BESI1E) Exponentially scaled modified Bessel function exp(-x)I1(x).
DBSK0E (BESK0E) Exponentially scaled modified Bessel function exp(x)K0(x).
DBSK1E (BESK1E) Exponentially scaled modified Bessel function exp(x)K1(x).
DBSKES (BESKES) Sequence of exponentially scaled Bessel functions exp(x)Kr(x), for real r.
DBSPDR (BSPDR) Construct divided difference table from B representation of B-spline for a deriv ...
DBSPEV (BSPEV) Calculates the value of the spline and its derivatives at X from its B represent ...
DBSPPP (BSPPP) Converts from B representation of B-spline to piecewise polynomial representatio ...
DBSPVD (BSPVD) Calculates value and derivatives of order less than NDERIV of all B-spline basis ...
DBSPVN (BSPVN) Calculates the value of all (possibly) nonzero B-spline basis functions at X of ...
DBSQAD (BSQAD) Computes the integral of a B-spline from X1 to X2. The B-spline must be in B rep ...
DBVALU (BVALU) Calculates (at X) the value of the IDERIV-th derivative of the B-spline from its ...
DCBRT (CBRT) Cube root of a double precision real argument.
DCDOT Computes a complex precision dot product using double precision accumulation.
DCHDC (SCHDC) Compute Cholesky decomposition of positive definite double precision matrix with ...
DCHDD (SCHDD) Downdates Cholesky factorization of positive definite double precision matrix.
DCHEX (SCHEX) Updates Cholesky factorization of positive definite double precision matrix.
DCHFDV (CHFDV) Evaluates a cubic polynomial and its first derivative at an array of points. The ...
DCHFEV (CHFEV) Evaluates a cubic polynomial given in Hermite form at an array of points.
DCHU (CHU) Double precision confluent hypergeometric function, U(da,db,d).
DCHUD (SCHUD) Updates Cholesky factorization of positive definite double precision matrix.
DCOPY (SCOPY) Copy a vector X to a vector Y, both double precision.
DCOSDG (COSDG) cos(x), for double precision x in degrees.
DCOT (COT) cot(x), for double precision x.
DCSEVL (CSEVL) Evaluates a Chebyshev polynomial series.
DDASSL (SDASSL) Solves the system of differential/algebraic equations of the form g(t,y,yprime)= ...
DDAWS (DAWS) Double precision Dawson integral.
DDOT (SDOT) Compute double precision dot product x*y.
DDRIV1 (SDRIV1) Numerical integration, initial value problems, ordinary differential equations, ...
DDRIV2 (SDRIV2) Numerical integration, initial value problems, ordinary differential equations, ...
DDRIV3 (SDRIV3) Numerical integration, initial value problems, ordinary differential equations, ...
DE1 (E1) Integral from x to infinity of exp(-t)/t), for double precision x and t.
DEA (EA) Given a slowly convergent sequence, this routine extrapolates nonlinearly to a ...
DEABM Solves a system of first order ordinary differential equations with arbitrary in ...
DEBDF Solves a system of first order stiff ordinary differential equations with arbitr ...
DEI (EI) Integral from -x to infinity of -exp(-t)/t), for double precision x and t.
DERF (ERF) Double precision error function, = (2 / square root of pi) * the integral from 0 ...
DERFC (ERFC) Double precision complementary error function, = (2 / square root of pi) * the i ...
DERKF Solves a system of first order ordinary differential equations with arbitrary in ...
DEXINT (EXINT) Computes sequences of exponential integrals E(n+k,x) k=0,...,m-1 or exp(x) times ...
DEXPRL (EXPREL) (exp(x)-1)/x, for double precision x.
DFAC (FAC) Factorial. Input is integer, output is double precision.
DGAMI (GAMI) Incomplete gamma function, for double precision argument.
DGAMIC (GAMIC) Complementary incomplete gamma function, for double precision argument.
DGAMIT (GAMIT) Tricomi's incomplete gamma function, for double precision argument.
DGAMMA (GAMMA) gamma(x), for double precision x.
DGAMR (GAMR) 1/gamma(x), for double precision x.
DGBCO (SGBCO) Computes LU factorization of general double precision band matrix and estimates ...
DGBDI (SGBDI) Uses LU factorization of general double precision band matrix to compute its det ...
DGBFA (SGBFA) Computes LU factorization of general double precision band matrix.
DGBSL (SGBSL) Uses LU factorization of general double precision band matrix to solve systems.
DGECO (SGECO) Compute LU factorization of general double precision matrix and estimate its con ...
DGEDI (SGEDI) Uses LU factorization of general double precision matrix to compute its determin ...
DGEFA (SGEFA) Compute LU factorization of general double precision matrix.
DGEFS (SGEFS) Factors and solves a general n-by-n double precision system of linear equations.
DGESL (SGESL) Uses LU factorization of general double precision matrix to solve systems.
DGTSL (SGTSL) Solve systems with tridiagonal double precision matrix.
DHUMSL (HUMSL) Minimizes a general unconstrained objective function using (analytic) gradient a ...
DINTRV (INTRV) Computes the index into a knot or breakpoint sequence corresponding to a given p ...
DIST Computes the Euclidean distance between two cases or two variables.
DITTO Partitions categorical data into clusters by maximizing the matches between case ...
DLBETA (ALBETA) ln(Beta(a,b)), for positive double precision a,b.
DLGAMS (ALGAMS) ln(abs(gamma(x))) and sign(gamma(x)).
DLI (ALI) Logarithmic integral. Integral from 0 to x of 1/ln(t), for double precision x an ...
DLINFS (LINFS) Solves the simple model, Y=BETA1+(BETA2)X, under the Chebychev norm criterion.
DLNGAM (ALNGAM) ln(abs(gamma(x))).
DLNREL (ALNREL) ln(1+x), for double precision x.
DNBCO (SNBCO) Factors a double precision band matrix by Gaussian elimination and estimates the ...
DNBDI (SNBDI) Computes determinant of double precision band matrix using factors previously co ...
DNBFA (SNBFA) Factors a double precision band matrix by Gaussian elimination.
DNBFS (SNBFS) Factors and solves general nonsymmetric banded double precision system of linear ...
DNBSL (SNBSL) Solves a double precision band system of equations using previously computed fac ...
DNL2S1 (NL2S1) Minimizes a nonlinear sum of squares using both residual and gradient values sup ...
DNL2SN (NL2SN) Minimizes a nonlinear sum of squares using residual values only. (Double precisi ...
DNRM2 (SNRM2) Compute the Euclidean length or L2 norm of a double precision vector.
DODR (SODR) Computes the weighted orthogonal distance regression or ordinary linear or nonli ...
DODRC (SODRC) Computes the weighted orthogonal distance regression or ordinary linear or nonli ...
DOT Creates a tree of clusters of cases for categorical data by minimum-mutation fit ...
DPBCO (SPBCO) Compute LU factorization of double precision positive definite band matrix and e ...
DPBDI (SPBDI) Use LU factorization of double precision positive definite band matrix to comput ...
DPBFA (SPBFA) Computes LU factorization of double precision positive definite band matrix.
DPBSL (SPBSL) Uses LU factorization of double precision positive definite band matrix to solve ...
DPCHFD (PCHFD) Evaluates a piecewise cubic Hermite function and its first derivative at an arra ...
DPCHFE (PCHFE) Evaluates a piecewise cubic Hermite function at an array of points.
DPCHIA (PCHIA) Evaluates the definite integral of a piecewise cubic Hermite function over an ar ...
DPCHIC (PCHIC) Determines a piecewise monotone, piecewise cubic Hermite interpolant to given da ...
DPCHID (PCHID) Evaluates the definite integral of a piecewise cubic Hermite function over an in ...
DPCHIM (PCHIM) Determines a monotone piecewise cubic Hermite interpolant to given data. Default ...
DPCHMC (PCHMC) Checks a cubic Hermite function for monotonicity.
DPCHSP (PCHSP) Determines the cubic spline interpolant to given data. User has control over bou ...
DPFQAD (PFQAD) Integrates function times derivative of B-spline from X1 to X2. The B-spline is ...
DPOCH (POCH) Pochhammer's symbol. Input and output are double precision.
DPOCH1 (POCH1) Pochhammer's symbol from first order. Input and output are double precision.
DPOCO (SPOCO) Use Cholesky algorithm to factor double precision positive definite matrix and e ...
DPODI (SPODI) Use factorization of double precision positive definite matrix to compute determ ...
DPOFA (SPOFA) Use Cholesky algorithm to factor double precision positive definite matrix.
DPOFS (SPOFS) Factors and solves a positive definite symmetric double precision system of equa ...
DPOSL (SPOSL) Use factorization of double precision positive definite matrix to solve systems.
DPPCO (SPPCO) Use Cholesky algorithm to factor double precision positive definite matrix store ...
DPPDI (SPPDI) Use factorization of double precision positive definite matrix stored in packed ...
DPPFA (SPPFA) Use Cholesky algorithm to factor double precision positive definite matrix store ...
DPPQAD (PPQAD) Computes the integral of a B-spline from X1 to X2. The B-spline must be in piece ...
DPPSL (SPPSL) Use factorization of double precision positive definite matrix stored in packed ...
DPPVAL (PPVAL) Calculates (at X) the value of the IDERIV-th derivative of the B-spline from its ...
DPSI (PSI) Psi (digamma) of double precision real argument.
DPSIFN (PSIFN) Derivatives of the Psi function.
DPTSL (SPTSL) Decomposes double precision symmetric positive definite tridiagonal matrix and s ...
DQAG (QAG) Automatic adaptive integrator, will handle many non-smooth integrands using Gaus ...
DQAGE (QAGE) Automatic adaptive integrator, can handle most non-smooth functions, also provid ...
DQAGI (QAGI) Automatic adaptive integrator for semi-infinite or infinite intervals. Uses nonl ...
DQAGIE (QAGIE) Automatic integrator for semi-infinite or infinite intervals and general integra ...
DQAGP (QAGP) Automatic adaptive integrator, allows user to specify location of singularities ...
DQAGPE (QAGPE) Automatic adaptive integrator for function with user specified endpoint singular ...
DQAGS (QAGS) Automatic adaptive integrator, will handle most non-smooth integrands including ...
DQAGSE (QAGSE) Automatic adaptive integrator, can handle integrands with endpoint singularities ...
DQAWC (QAWC) Cauchy principal value integrator, using adaptive Clenshaw Curtis method (real H ...
DQAWCE (QAWCE) Cauchy principal value integrator, provides more information than DQAWC (real Hi ...
DQAWF (QAWF) Automatic integrator for Fourier integrals on (a, infinity) with factors SIN(OME ...
DQAWFE (QAWFE) Automatic integrator for Fourier integrals, with SIN(OMEGA*X) factor on (A, INFI ...
DQAWO (QAWO) Automatic adaptive integrator for integrands with oscillatory sine or cosine fac ...
DQAWOE (QAWOE) Automatic integrator for integrands with explicit oscillatory sine or cosine fac ...
DQAWS (QAWS) Automatic integrator for functions with explicit algebraic and/or logarithmic en ...
DQAWSE (QAWSE) Automatic integrator for integrands with explicit algebraic and/or logarithmic e ...
DQC25C (QC25C) Uses 25 point Clenshaw-Curtis formula to estimate integral of F*W where W=1/(X-C ...
DQC25F (QC25F) Clenshaw-Curtis integration rule for function with cos or sin factor, also uses ...
DQC25S (QC25S) Estimates integral of function with algebraic-logarithmic singularities using 25 ...
DQK15 (QK15) Evaluates integral of given function on an interval with a 15 point Gauss Kronro ...
DQK15I (QK15I) Evaluates integral of given function on semi-infinite or infinite interval with ...
DQK15W (QK15W) Evaluates integral of given function times arbitrary weight function on interval ...
DQK21 (QK21) Evaluates integral of given function on an interval with a 21 point Gauss Kronro ...
DQK31 (QK31) Evaluates integral of given function on an interval with a 31 point Gauss Kronro ...
DQK41 (QK41) Evaluates integral of given function on an interval with a 41 point Gauss Kronro ...
DQK51 (QK51) Evaluates integral of given function on an interval with a 51 point Gauss Kronro ...
DQK61 (QK61) Evaluates integral of given function on an interval with a 61 point Gauss Kronro ...
DQMOMO (QMOMO) Computes integral of k-th degree Chebyshev polynomial times one of a selection o ...
DQNG (QNG) Automatic non-adaptive integrator for smooth functions, using Gauss Kronrod Patt ...
DQRANK (SQRANK) For solving linear systems in least squares sense. Computes the QR decomposition ...
DQRDC (SQRDC) Compute QR decomposition of general double precision matrix.
DQRLSS (SQRLSS) Solves linear least squares problems of the form Ax=b. Calls LINPACK subroutines ...
DQRSL (SQRSL) Applies the output of DQRDC to compute coordinate transformations, projections, ...
DROT (SROT) Apply Givens plane rotation to double precision vector.
DROTG (SROTG) Construct Givens plane rotation of double precision matrix.
DROTM (SROTM) Apply modified Givens plane rotation to double precision vector.
DROTMG (SROTMG) Construct modified Givens plane rotation of double precision matrix.
DSCAL (SSCAL) Compute a constant times a vector, y = ay, both double precision.
DSDOT Compute single precision dot product x*y using double precision accumulation.
DSICO (SSICO) Computes factorization of double precision symmetric indefinite matrix and estim ...
DSIDI (SSIDI) Use factorization of double precision symmetric indefinite matrix to compute det ...
DSIFA (SSIFA) Compute factorization of double precision symmetric indefinite matrix.
DSINDG (SINDG) sin(x), for double precision x in degrees.
DSISL (SSISL) Use factorization of double precision symmetric indefinite matrix to solve syste ...
DSMSNO (SMSNO) Minimize a general unconstrained objective function using finite difference grad ...
DSPCO (SSPCO) Compute factorization of double precision symmetric indefinite matrix stored in ...
DSPDI (SSPDI) Use factorization of double precision symmetric indefinite matrix stored in pack ...
DSPENC (SPENC) Integral from 0 to x of ln(abs(1-t))/t, for double precision x and t.
DSPFA (SSPFA) Compute factorization of double precision symmetric indefinite matrix stored in ...
DSPSL (SSPSL) Use factorization of double precision symmetric indefinite matrix stored in pack ...
DSUMSL (SUMSL) Minimizes a general uncontrained objective function using analytic gradient and ...
DSVDC (SSVDC) Compute Singular Value Decomposition of double precision matrix. Has options to ...
DSWAP (SSWAP) Interchange vectors X and Y, both double precision.
DTRCO (STRCO) Estimates condition of double precision triangular matrix.
DTRDI (STRDI) Computes determinant and/or inverse of double precision triangular matrix.
DTRSL (STRSL) Solves systems with double precision triangular matrix.
E1 (DE1) Integral from x to infinity of exp(-t)/t.
EA (DEA) Given a slowly convergent sequence, this routine extrapolates nonlinearly to a b ...
EI (DEI) Integral from -x to infinity of -exp(-t)/t. Exponential integral for arguments g ...
ELMBAK Forms eigenvectors of real general matrix from eigenvectors of upper Hessenberg ...
ELMHES Reduces real general matrix to upper Hessenberg form using stabilized elementary ...
ELTRAN Accumulates the stabilized elementary similarity transformations used in the red ...
ERF (DERF) Error function, = (2 / square root of pi) * the integral from 0 to x of exp(-t** ...
ERFC (DERFC) Complementary error function, = (2 / square root of pi) * the integral from x to ...
EXINT (DEXINT) Computes sequences of exponential integrals E(n+k,x) k=0,...,m-1 or exp(x) times ...
EXPREL (DEXPRL) (exp(x)-1)/x.
EZFFTB Backward real discrete (fast) Fourier transform. Performs Fourier synthesis. Eas ...
EZFFTF Forward real discrete (fast) Fourier transform. Performs Fourier analysis. Easy ...
EZFFTI Initialization for EZFFTF and EZFFTB.
FAC (DFAC) Factorial. Input is integer, output is real.
FC Fits piecewise polynomial to discrete data with equality and inequality constrai ...
FIGI Transforms certain real non-symmetric tridiagonal matrix to symmetric tridiagona ...
FIGI2 Transforms certain real non-symmetric tridiagonal matrix to symmetric tridiagona ...
FISH Clusters a sequence of cases into subsequences by Fisher's method of exact optim ...
GAMI (DGAMI) Incomplete gamma function.
GAMIC (DGAMIC) Complementary incomplete gamma function.
GAMIT (DGAMIT) Tricomi's incomplete gamma function.
GAMLN ln(gamma(x)), for non-negative x.
GAMMA (DGAMMA) gamma(x).
GAMR (DGAMR) 1/gamma(x).
GENBUN Solves certain block tridiagonal systems of linear equations arising from Helmho ...
HFTI Solves linear least squares problem AX=B.
HIST Prints a univariate histogram.
HQR Computes eigenvalues of a real upper Hessenberg matrix using the QR method.
HQR2 Computes eigenvalues and eigenvectors of real upper Hessenberg matrix using QR m ...
HS3CRI Initialization routine for HS3CRT.
HS3CRT Sets up and solves the standard seven-point finite difference approximation on a ...
HSTCRT Solves the Helmholtz or Poisson equations in two dimensions in Cartesian coordin ...
HSTCSP Solves a modified Helmholtz equation in spherical coordinates with axisymmetry u ...
HSTCYL Solves a modified Helmholtz equation in cylindrical coordinates on a staggered g ...
HSTPLR Solves the Helmholtz or Poisson equation in polar coordinates on a staggered gri ...
HSTSSP Solves the Helmholtz or Poisson equation in spherical coordinates on the surface ...
HTRIB3 Computes eigenvectors of complex Hermitian matrix from eigenvectors of real symm ...
HTRIBK Forms eigenvectors of complex Hermitian matrix from eigenvectors of real symmetr ...
HTRID3 Reduces complex Hermitian (packed) matrix to real symmetric tridiagonal matrix b ...
HTRIDI Reduces complex Hermitian matrix to real symmetric tridiagonal matrix using unit ...
HUMSL (DHUMSL) Minimizes a general unconstrained objective function using (analytic) gradient a ...
HW3CRT Solves the Helmholtz or Poisson equation in three dimensions using Cartesian coo ...
HWSCRT Solves the Helmholtz or Poisson equation in two dimensions in Cartesian coordina ...
HWSCSP Solves a modified Helmholtz equation in spherical coordinates with axisymmetry.
HWSCYL Solves a modified Helmholtz equation in cylindrical coordinates.
HWSPLR Solves the Helmholtz or Poisson equation in polar coordinates.
HWSSSP Solves the Helmholtz or Poisson equation in spherical coordinates on the surface ...
I1MACH Provides integer machine dependent information, e.g., largest integer.
ICAMAX Find smallest index of maximum magnitude component of a complex vector.
IDAMAX (ISAMAX) Find smallest index of maximum magnitude component of a double precision vector.
IMTQL1 Computes eigenvalues of symmetric tridiagonal matrix using implicit QL method.
IMTQL2 Computes eigenvalues and eigenvectors of symmetric tridiagonal matrix using impl ...
IMTQLV Computes eigenvalues of symmetric tridiagonal matrix using implicit QL method. E ...
IN Reads in raw data matrix and labels for the cases and variables and sets up the ...
INTRV (DINTRV) Computes the index into a knot or breakpoint sequence corresponding to a given p ...
INVERT Computes the inverse and determinant of a symmetric matrix (e.g. a covariance ma ...
INVIT Computes eigenvectors of upper Hessenberg (real) matrix associated with specifie ...
ISAMAX (IDAMAX) Find smallest index of maximum magnitude component of a single precision vector.
ISAMIN Find the smallest index of the minimum magnitude component of a real vector.
ISMAX Find the smallest index of the maximum component of a real vector.
ISMIN Find the smallest index of the minimum component of a real vector.
ISORT Sorts an integer array in either increasing or decreasing order. Optionally anot ...
JOIN Uses a general joining algorithm to form and output a tree of clusters of cases.
JOIN2 Joins data values in a case-by-variable matrix into blocks until all within-bloc ...
LETREE Uses a leader clustering algorithm to construct a tree whose levels are determin ...
LINE Produces a line profile of the variables for each case.
LINFS (DLINFS) Solves the simple model, Y=BETA1+(BETA2)X, under the Chebychev norm criterion.
LINK Constructs and prints tree of clusters obtained by adding cases in succession to ...
LLSIA Computes least squares solution to AX=B with A an m-by-n matrix with m.ge.n. Fle ...
LOTPS Passes smooth function through two-dimensional scattered data and returns an arr ...
LPDP Solves least projected distance problem.
LSEI Solves linearly constrained least squares problem with equality and inequality c ...
MHIST Produces multivariate histograms.
MINFIT Compute singular value decomposition of rectangular real matrix and solve relate ...
MISS Replaces a missing data value by the cluster mean.
MIX Fits the mixture model by a maximum log-likelihood criterion.
MIXIND Fits the mixture model from k multivariate normals where k is the desired number ...
MODAL Produces a bivariate histogram.
NL2S1 (DNL2S1) Minimizes a nonlinear sum of squares using both residual and gradient values sup ...
NL2SN (DNL2SN) Minimizes a nonlinear sum of squares using residual values only.
NUMXER Get most current message number.
OPTIF0 Solves the unconstrained minimization problem: minimize the real-valued function ...
OPTIF9 Solves the unconstrained minimization problem: minimize the real-valued function ...
ORTBAK Forms eigenvectors of general real matrix from eigenvectors of upper Hessenberg ...
ORTHES Reduces real general matrix to upper Hessenberg form using orthogonal similarity ...
ORTRAN Accumulates orthogonal similarity transformations in reduction of real general m ...
OUT Prints a data matrix with the appropriate labels for the cases and variables whi ...
PCHFD (DPCHFD) Evaluates a piecewise cubic Hermite function and its first derivative at an arra ...
PCHFE (DPCHFE) Evaluates a piecewise cubic Hermite function at an array of points.
PCHIA (DPCHIA) Evaluates the definite integral of a piecewise cubic Hermite function over an ar ...
PCHIC (DPCHIC) Determines a piecewise monotone, piecewise cubic Hermite interpolant to given da ...
PCHID (DPCHID) Evaluates the definite integral of a piecewise cubic Hermite function over an in ...
PCHIM (DPCHIM) Determines a monotone piecewise cubic Hermite interpolant to given data. Default ...
PCHMC (DPCHMC) Checks a cubic Hermite function for monotonicity.
PCHSP (DPCHSP) Determines the cubic spline interpolant to given data. User has control over bou ...
PFQAD (DPFQAD) Computes integral on (X1,X2) of product of function and the ID-th derivative of ...
PLOT Produces a scatter plot of several Y variables vs. one X variable.
PMANY Produces a matrix of scatter plots between Y(i) and Y(j) for for i and j between ...
POCH (DPOCH) Pochhammer's symbol. Input and output are real.
POCH1 (DPOCH1) Pochhammer's symbol from first order. Input and output are real.
POIS3D Solves block tridiagonal linear systems of algebraic equations arising from the ...
POISTG Solves block tridiagonal linear systems of algebraic equations arising from the ...
PPQAD (DPPQAD) Computes the integral of a B-spline from X1 to X2. The B-spline must be in piece ...
PPVAL (DPPVAL) Calculates (at X) the value of the IDERIV-th derivative of the B-spline from its ...
PROF Computes and outputs profiles of the variables such that the linear regression l ...
PSI (DPSI) Psi (digamma) of real argument.
PSIFN (DPSIFN) Derivatives of the Psi function.
PST3DI Initialization routine for PSTG3D.
PSTG3D Solves certain block tridiagonal systems of linear algebraic equations that aris ...
Q1DA Automatic integration of a user-defined function of one variable. Special featur ...
Q1DAX Flexible subroutine for the automatic integration of a user-defined function of ...
Q1DB Automatic integration of a user-defined function of one variable. Integrand must ...
QAG (DQAG) Automatic adaptive integrator, will handle many non-smooth integrands using Gaus ...
QAGE (DQAGE) Automatic adaptive integrator, can handle most non-smooth functions, also provid ...
QAGI (DQAGI) Automatic adaptive integrator for semi-infinite or infinite intervals. Uses nonl ...
QAGIE (DQAGIE) Automatic integrator for semi-infinite or infinite intervals and general integra ...
QAGP (DQAGP) Automatic adaptive integrator, allows user to specify location of singularities ...
QAGPE (DQAGPE) Automatic adaptive integrator for function with user specified endpoint singular ...
QAGS (DQAGS) Automatic adaptive integrator, will handle most non-smooth integrands including ...
QAGSE (DQAGSE) Automatic adaptive integrator, can handle integrands with endpoint singularities ...
QAWC (DQAWC) Cauchy principal value integrator, using adaptive Clenshaw Curtis method (real H ...
QAWCE (DQAWCE) Cauchy principal value integrator, provides more information than QAWC (real Hil ...
QAWF (DQAWF) Automatic integrator for Fourier integrals on (a, infinity) with factors SIN(OME ...
QAWFE (DQAWFE) Automatic integrator for Fourier integrals, with SIN(OMEGA*X) factor on (A, INFI ...
QAWO (DQAWO) Automatic adaptive integrator for integrands with oscillatory sine or cosine fac ...
QAWOE (DQAWOE) Automatic integrator for integrands with explicit oscillatory sine or cosine fac ...
QAWS (DQAWS) Automatic integrator for functions with explicit algebraic and/or logarithmic en ...
QAWSE (DQAWSE) Automatic integrator for integrands with explicit algebraic and/or logarithmic e ...
QC25C (DQC25C) Uses 25 point Clenshaw-Curtis formula to estimate integral of F*W where W=1/(X-C ...
QC25F (DQC25F) Clenshaw-Curtis integration rule for function with cos or sin factor, also uses ...
QC25S (DQC25S) Estimates integral of function with algebraic-logarithmic singularities using 25 ...
QK15 (DQK15) Evaluates integral of given function on an interval with a 15 point Gauss Kronro ...
QK15I (DQK15I) Evaluates integral of given function on semi-infinite or infinite interval with ...
QK15W (DQK15W) Evaluates integral of given function times arbitrary weight function on interval ...
QK21 (DQK21) Evaluates integral of given function on an interval with a 21 point Gauss Kronro ...
QK31 (DQK31) Evaluates integral of given function on an interval with a 31 point Gauss Kronro ...
QK41 (DQK41) Evaluates integral of given function on an interval with a 41 point Gauss Kronro ...
QK51 (DQK51) Evaluates integral of given function on an interval with a 51 point Gauss Kronro ...
QK61 (DQK61) Evaluates integral of given function on an interval with a 61 point Gauss Kronro ...
QMOMO (DQMOMO) Computes integral of k-th degree Chebyshev polynomial times one of a selection o ...
QNG (DQNG) Automatic non-adaptive integrator for smooth functions, using Gauss Kronrod Patt ...
QUICK Finds a quick partition of the cases by comparing, to a user-defined threshold, ...
QZHES The first step of the QZ algorithm for solving generalized matrix eigenproblems.
QZIT The second step of the QZ algorithm for generalized eigenproblems. Accepts an up ...
QZVAL The third step of the QZ algorithm for generalized eigenproblems. Accepts a pair ...
QZVEC The optional fourth step of the QZ algorithm for generalized eigenproblems. Acce ...
R1MACH (D1MACH) Returns single precision machine-dependent constants (like largest allowed float ...
RAND Uniform random number on [0,1].
RANK Produces rank profiles by ranking cases for each variable and reordering variabl ...
RATQR Computes largest or smallest eigenvalues of symmetric tridiagonal matrix using r ...
RC Carlson's incomplete elliptic integral RC(x,y).
RD Carlson's incomplete elliptic integral RD(x,y,z).
REBAK Forms eigenvectors of generalized symmetric eigensystem from eigenvectors of der ...
REBAKB Forms eigenvectors of generalized symmetric eigensystem from eigenvectors of der ...
REDUC Reduces generalized symmetric eigenproblem Ax=(lambda)Bx, to standard symmetric ...
REDUC2 Reduces certain generalized symmetric eigenproblems to standard symmetric eigenp ...
RELOC Sets each cluster center equal to the cluster mean. Can be used with CLUSTER sub ...
RF Carlson's incomplete elliptic integral RF(x,y,z).
RFFTB Computes real periodic sequence from real Fourier coefficients. Performs Fourier ...
RFFTF Computes Fourier coefficients of real periodic sequence (fast). Performs Fourier ...
RFFTI Initialize WSAVE array for SUBROUTINE RFFTF and RFFTB.
RG Computes eigenvalues and, optionally, eigenvectors of a real general matrix.
RGAUSS Normal random number.
RGG Computes eigenvalues and eigenvectors for real generalized eigenproblem: Ax=(lam ...
RGM Computes estimates of simple linear regression parameters for a geometric mean r ...
RJ Carlson's incomplete elliptic integral RJ(x,y,z,p).
RNOR Generates quasi normal random numbers with zero mean and unit standard deviation ...
RPQR79 Computes all the zeros of a general real polynomial using eigenvalue methods, re ...
RPZERO Computes all the zeros of a polynomial with real coefficients. Error bounds are ...
RS Computes eigenvalues and, optionally, eigenvectors of a real symmetric matrix.
RSB Computes eigenvalues and, optionally, eigenvectors of real symmetric band matrix ...
RSG Computes eigenvalues and, optionally, eigenvectors of real symmetric generalized ...
RSGAB Computes eigenvalues and, optionally, eigenvectors of real symmetric generalized ...
RSGBA Computes eigenvalues and, optionally, eigenvectors of real symmetric generalized ...
RSP Compute eigenvalues and, optionally, eigenvectors of a real symmetric matrix pac ...
RST Compute eigenvalues and, optionally, eigenvectors of a real symmetric tridiagona ...
RT Compute eigenvalues and eigenvectors of a special real tridiagonal matrix.
RUNIF Sequence of uniform random numbers on [0,1].
RWILL Estimates simple linear regression coefficients when both variables are subject ...
RYORK Estimates simple linear regression coefficients when both variables are subject ...
SASUM (DASUM) Compute single precision sum of absolute values of components of vector.
SAXPY (DAXPY) Compute a constant times a vector plus a vector, all single precision.
SCALE Discretizes the data into classes.
SCASUM Compute complex sum of absolute values of components of vector.
SCHDC (DCHDC) Compute Cholesky decomposition of real positive definite matrix with optional pi ...
SCHDD (DCHDD) Downdates Cholesky factorization of real positive definite matrix.
SCHEX (DCHEX) Updates Cholesky factorization of real positive definite matrix.
SCHUD (DCHUD) Updates Cholesky factorization of real positive definite matrix.
SCNRM2 Compute the Euclidean length or L2 norm of a complex vector.
SCOPY (DCOPY) Copy a vector X to a vector Y, both single precision.
SCOPYM Copies negative of array SX into array SY, with corresponding increments INCX an ...
SCOV Calculates covariance matrix for a nonlinear data fitting problem. This subprogr ...
SDASSL (DDASSL) Solves the system of differential/algebraic equations of the form g(t,y,yprime)= ...
SDOT (DDOT) Compute single precision dot product.
SDRIV1 (DDRIV1) Numerical integration, initial value problems, ordinary differential equations, ...
SDRIV2 (DDRIV2) Numerical integration, initial value problems, ordinary differential equations, ...
SDRIV3 (DDRIV3) Numerical integration, initial value problems, ordinary differential equations, ...
SDSDOT Compute the sum of a single-precision scalar and a single-precision dot product, ...
SEARCH Produces and outputs tree which maximizes ALPHA*TRUE - (1.0-ALPHA)*FALSE where T ...
SEPELI Solves separable elliptic boundary value problems on a rectangle.
SEPX4 Solves separable elliptic boundary value problems on a rectangle with constant c ...
SGBCO (DGBCO) Computes LU factorization of real band matrix and estimates its condition.
SGBDI (DGBDI) Uses LU factorization of real band matrix to compute its determinant. (No provis ...
SGBFA (DGBFA) Computes LU factorization of real band matrix.
SGBSL (DGBSL) Uses LU factorization of real band matrix to solve systems.
SGECO (DGECO) Computes LU factorization of real general matrix and estimates its condition.
SGEDI (DGEDI) Uses LU factorization of real general matrix to compute its determinant and/or i ...
SGEEV Computes the eigenvalues and, optionally, the eigenvectors of a general real mat ...
SGEFA (DGEFA) Computes LU factorization of real general matrix.
SGEFS (DGEFS) Factors and solves a general n-by-n single precision system of linear equations.
SGEIR Factors and solves a general single precision system of linear equations and est ...
SGESL (DGESL) Uses LU factorization of real general matrix to solve systems.
SGLSS Solves linear least squares problems. Emphasis is put on detecting possible rank ...
SGTSL (DGTSL) Factors a real tridiagonal matrix and simultaneously solves a system.
SINDG (DSINDG) sin(x), x in degrees.
SINQB Fast Fourier transform of quarter wave data. Backward fast sine transform. Perfo ...
SINQF Computes fast Fourier transform of quarter wave data. Forward fast sine transfor ...
SINQI Initialize array WSAVE for SUBROUTINE SINQF and SINQB.
SINT Computes fast Fourier sine transform of an odd sequence X(I).
SINTI Initialize array WSAVE for SUBROUTINE SINT.
SLINK Utilizes the single-linkage clustering algorithm to construct a tree from a user ...
SLVBLK Solves Ax=b where A is an almost block diagonal matrix. These arise in finite el ...
SMSNO (DSMSNO) Minimize a general unconstrained objective function using finite difference grad ...
SNBCO (DNBCO) Factors a real band matrix by Gaussian elimination and estimates condition of th ...
SNBDI (DNBDI) Computes the determinant of a single precision band matrix using factors previou ...
SNBFA (DNBFA) Factors a single precision band matrix by elimination.
SNBFS (DNBFS) Factors and solves a general nonsymmetric single precision banded system of line ...
SNBIR Factors and solves a general nonsymmetric single precision banded system of equa ...
SNBSL (DNBSL) Solves a general nonsymmetric single precision banded system of linear equations ...
SNLS1 Minimizes the sum of the squares of M nonlinear functions in N variables by a mo ...
SNLS1E Minimizes the sum of the squares of M nonlinear functions in N variables by a mo ...
SNRM2 (DNRM2) Compute the Euclidean length or L2 norm of a single precision vector, without un ...
SNSQ Finds a zero of a system of N nonlinear equations in N variables by a modificati ...
SNSQE Finds a zero of a system of N nonlinear equations in N variables by a modificati ...
SODR (DODR) Computes the weighted orthogonal distance regression or ordinary linear or nonli ...
SODRC (DODRC) Computes the weighted orthogonal distance regression or ordinary linear or nonli ...
SODS Solves an overdetermined system of linear equations. For full rank matrices the ...
SOS Finds a zero of a system of N nonlinear equations in N unknowns using Brown's me ...
SPARSE Approximates the covariance matrix by BB(trans) where B contains many zeros and ...
SPBCO (DPBCO) Uses Cholesky algorithm to compute factorization of real positive definite band ...
SPBDI (DPBDI) Uses factorization of real positive definite band matrix to compute its determin ...
SPBFA (DPBFA) Uses Cholesky algorithm to compute factorization of real positive definite band ...
SPBSL (DPBSL) Uses factorization of real positive definite band matrix to solve systems.
SPENC (DSPENC) Integral from 0 to x of ln(abs(1-t))/t.
SPLIT1 Splits cases in each variable until all within-cluster variances are smaller tha ...
SPLIT2 Splits matrix of case-by-variable data values into blocks until all within-block ...
SPLP Solves linear optimization problems, that is, it minimizes the linear function ( ...
SPOCO (DPOCO) Uses Cholesky algorithm to factor real positive definite matrix and estimate its ...
SPODI (DPODI) Uses factorization of real positive definite matrix to compute its determinant a ...
SPOFA (DPOFA) Uses Cholesky algorithm to factor real positive definite matrix.
SPOFS (DPOFS) Factors and solves a symmetric positive definite single precision system of line ...
SPOIR Factors and solves a symmetric positive definite single precision system of equa ...
SPOSL (DPOSL) Uses factorization of real positive definite matrix to solve systems.
SPPCO (DPPCO) Uses Cholesky algorithm to factor real positive definite matrix stored in packed ...
SPPDI (DPPDI) Uses factorization of real positive definite matrix stored in packed form to com ...
SPPFA (DPPFA) Uses Cholesky algorithm to factor real positive definite matrix stored in packed ...
SPPSL (DPPSL) Uses factorization of real positive definite matrix stored in packed form to sol ...
SPTSL (DPTSL) Decomposes real symmetric positive definite tridiagonal matrix and simultaneousl ...
SQRANK (DQRANK) For solving linear systems in least squares sense. Computes the QR decomposition ...
SQRDC (DQRDC) Computes QR decomposition of real general matrix.
SQRLSS (DQRLSS) For solving linear systems in least squares sense. Finds solution and residual a ...
SQRSL (DQRSL) Applies the output of SQRDC to compute coordinate transformations, projections, ...
SROT (DROT) Apply Givens plane rotation to a single precision vector.
SROTG (DROTG) Construct Givens plane rotation of single precision matrix.
SROTM (DROTM) Apply modified Givens plane rotation to single precision vector.
SROTMG (DROTMG) Construct modified Givens plane rotation of single precision matrix.
SSCAL (DSCAL) Multiply a vector by a scalar, y =ay, both single precision.
SSICO (DSICO) Computes factorization of real symmetric indefinite matrix and estimates its con ...
SSIDI (DSIDI) Uses factorization of real symmetric indefinite matrix to compute its determinan ...
SSIEV Computes the eigenvalues and, optionally, the eigenvectors of a real symmetric m ...
SSIFA (DSIFA) Computes factorization of real symmetric indefinite matrix.
SSISL (DSISL) Uses factorization of real symmetric indefinite matrix to solve systems.
SSORT Sorts an array X (of N real numbers) into increasing or decreasing order. An opt ...
SSPCO (DSPCO) Computes factorization of real symmetric indefinite matrix stored in packed form ...
SSPDI (DSPDI) Uses factorization of real symmetric indefinite matrix stored in packed form to ...
SSPEV Computes eigenvalues and, optionally eigenvectors of real symmetric matrix store ...
SSPFA (DSPFA) Computes factorization of real symmetric indefinite matrix stored in packed form ...
SSPSL (DSPSL) Uses factorization of real symmetric indefinite matrix stored in packed form to ...
SSVDC (DSVDC) Computes the singular value decomposition of a real n-by-p matrix X, dimensioned ...
SSWAP (DSWAP) Interchange vectors X and Y, both single precision.
STAND Standardizes a data matrix such that each variable has mean zero and unit varian ...
STRCO (DTRCO) Estimates the condition of real triangular matrix.
STRDI (DTRDI) Computes determinant and/or inverse of real triangular matrix.
STRSL (DTRSL) Solves systems with real triangular matrix.
SUDS Solves underdetermined systems of linear equations. For full rank matrices the m ...
SUMSL (DSUMSL) Minimizes a general unconstrained objective function using analytic gradient and ...
SVD Computes singular value decomposition of arbitrary real rectangular matrix.
TINVIT Eigenvectors of symmetric tridiagonal matrix corresponding to some specified eig ...
TQL1 Compute eigenvalues of symmetric tridiagonal matrix by QL method.
TQL2 Compute eigenvalues and eigenvectors of symmetric tridiagonal matrix.
TQLRAT Computes eigenvalues of symmetric tridiagonal matrix using a rational variant of ...
TRBAK1 Forms the eigenvectors of real symmetric matrix from eigenvectors of symmetric t ...
TRBAK3 Forms eigenvectors of real symmetric matrix from the eigenvectors of symmetric t ...
TRED1 Reduce real symmetric matrix to symmetric tridiagonal matrix using orthogonal si ...
TRED2 Reduce real symmetric matrix to symmetric tridiagonal matrix using and accumulat ...
TRED3 Reduce real symmetric matrix stored in packed form to symmetric tridiagonal matr ...
TRIDIB Computes eigenvalues of symmetric tridiagonal matrix in given interval using Stu ...
TSTURM Computes eigenvalues of symmetric tridiagonal matrix in given interval and eigen ...
TWO Computes overall mean and covariance matrices of a data set with appropriate lab ...
TWODQ Automatic (adaptive) integration of a user specified function f(x,y) on one or m ...
ULSIA Finds the minimal length solution of the underdetermined system of equations AX= ...
UNI Uniform random-number generator on (0,1). Uses Fibbonacci algorithm. Fast, excel ...
VARCO Sets up a tree of clusters of cases and uses the variance components algorithm t ...
VCOSQB Backward fast Fourier cosine transform of multiple quarter-wave sequences. That ...
VCOSQF Forward fast Fourier cosine transform of multiple quarter-wave sequences. That i ...
VCOSQI Initialization for VCOSQF and VCOSQB.
VCOST Discrete Fourier cosine transform of multiple even sequences.
VCOSTI Initialization for VCOST.
VRFFTB Synthesis (backward transform) of multiple real periodic sequences from their Fo ...
VRFFTF Analysis (forward transform) of multiple real periodic sequences into Fourier co ...
VRFFTI Initializes WSAVE array for VRFFTF and VRFFTB.
VSCOSB Synthesis (backward transform) of multiple Fourier cosine coefficients into real ...
VSCOSF Analysis (forward transform) of multiple real staggered grid sequences into Four ...
VSCOSI Initialization routine for VSCOSF and VSCOSB.
VSCOSQ Analysis or synthesis (forward or backward transform) of multiple real staggered ...
VSCSQI Initialization routine for VSCOSQ.
VSINQB Backward fast Fourier sine transform of multiple quarter-wave sequences. That is ...
VSINQF Forward fast Fourier sine transform of multiple quarter-wave sequences. That is, ...
VSINQI Initialization for VSINQF and VSINQB.
VSINT Discrete Fourier sine transform of multiple odd sequences.
VSINTI Initialization for VSINT.
VSRFTB Synthesis (backward transform) of multiple Fourier coefficients into real stagge ...
VSRFTF Analysis (forward transform) of multiple real staggered grid sequences into Four ...
VSRFTI Initialization routine for VSRFTF and VSRFTB.
VSSINB Synthesis (backward transform) of multiple Fourier sine coefficients into real s ...
VSSINF Analysis (forward transform) of multiple real staggered grid sequences into Four ...
VSSINI Initialization routine for VSSINF and VSSINB.
VSSINQ Analysis or synthesis (forward or backward transform) of multiple real staggered ...
VSSNQI Initialization routine for VSSINQ.
WCOV Computes the within-cluster covariance matrix.
WDIST Computes a weighted Euclidean distance between two cases.
WNNLS Solves linearly constrained non-negative least squares problem.
XDLEGF (XSLEGF) Calculates a sequence of values of Legendre functions of the first or second kin ...
XDNRMP (XSNRMP) Calculates a sequence of values of normalized Legendre polynomials for fixed deg ...
XERABT Terminate run and print traceback. (Requires system dependent programming to exe ...
XERCLR Clear current message number.
XERCTL Perform special error processing of one message.
XERDMP Print error summary and clear tables.
XERMAX Set limit of MAX times each message can be printed.
XERROR Process an error message.
XERRWV Process a message with numeric values.
XGETF Get current value of KONTRL.
XGETUA Get current output unit numbers.
XGETUN Get current output unit number.
XSETF Set KONTRL for XERROR, default is 2.
XSETUA Set up to 5 output unit numbers.
XSETUN Set one output unit number.
XSLEGF (XDLEGF) Calculates a sequence of values of Legendre functions of the first or second kin ...
XSNRMP (XDNRMP) Calculates a sequence of values of normalized Legendre polynomials for fixed deg ...
ZEROIN Finds a zero of a user defined function on a given interval in which the functio ...

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