Class D2d2a: Solution of systems of linear equations, including matrix inverses, and LU and related factorizations (complex Hermitian tridiagonal matrices)
Modules
Package CLAPACK (Downloadable)
- CPTCON.C
- Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal matrix, using the LDL**H factorization computed by CPTTRF. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
- CPTRFS.C
- Improves the computed solution to a complex Hermitian positive definite tridiagonal system of linear equations AX=B, and provides forward and backward error bounds for the solution. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
- CPTSV.C
- Solves a complex Hermitian positive definite tridiagonal system of linear equations AX=B. (Simple driver.). [C version of LAPACK routine, converted from Fortran by f2c.].
- CPTSVX.C
- Solves a complex Hermitian positive definite tridiagonal system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution. (Expert driver.). [C version of LAPACK routine, converted from Fortran by f2c.].
- CPTTRF.C
- Computes the LDL**H factorization of a complex Hermitian positive definite tridiagonal matrix. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
- CPTTRS.C
- Solves a complex Hermitian positive definite tridiagonal system of linear equations, using the LDL**H factorization computed by CPTTRF. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
- ZPTCON.C
- Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal matrix, using the LDL**H factorization computed by ZPTTRF. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
- ZPTRFS.C
- Improves the computed solution to a complex Hermitian positive definite tridiagonal system of linear equations AX=B, and provides forward and backward error bounds for the solution. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
- ZPTSV.C
- Solves a complex Hermitian positive definite tridiagonal system of linear equations AX=B. (Simple driver.). [C version of LAPACK routine, converted from Fortran by f2c.].
- ZPTSVX.C
- Solves a complex Hermitian positive definite tridiagonal system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution. (Expert driver.). [C version of LAPACK routine, converted from Fortran by f2c.].
- ZPTTRF.C
- Computes the LDL**H factorization of a complex Hermitian positive definite tridiagonal matrix. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
- ZPTTRS.C
- Solves a complex Hermitian positive definite tridiagonal system of linear equations, using the LDL**H factorization computed by ZPTTRF. (Computational routine.). [C version of LAPACK routine, converted from Fortran by f2c.].
Package CMLIB (Downloadable; Installed on ITL, ARNO)
- CPTSL
- Solves systems with complex positive definite tridiagonal matrix.
Package LAPACK (Downloadable; Installed on ITL, ARNO)
- CPTCON
- Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal matrix, using the LDL**H factorization computed by CPTTRF. (Computational routine.).
- CPTRFS
- Improves the computed solution to a complex Hermitian positive definite tridiagonal system of linear equations AX=B, and provides forward and backward error bounds for the solution. (Computational routine.).
- CPTSV
- Solves a complex Hermitian positive definite tridiagonal system of linear equations AX=B. (Simple driver.).
- CPTSVX
- Solves a complex Hermitian positive definite tridiagonal system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution. (Expert driver.).
- CPTTRF
- Computes the LDL**H factorization of a complex Hermitian positive definite tridiagonal matrix. (Computational routine.).
- CPTTRS
- Solves a complex Hermitian positive definite tridiagonal system of linear equations, using the LDL**H factorization computed by CPTTRF. (Computational routine.).
- ZPTCON
- Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal matrix, using the LDL**H factorization computed by ZPTTRF. (Computational routine.).
- ZPTRFS
- Improves the computed solution to a complex Hermitian positive definite tridiagonal system of linear equations AX=B, and provides forward and backward error bounds for the solution. (Computational routine.).
- ZPTSV
- Solves a complex Hermitian positive definite tridiagonal system of linear equations AX=B. (Simple driver.).
- ZPTSVX
- Solves a complex Hermitian positive definite tridiagonal system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution. (Expert driver.).
- ZPTTRF
- Computes the LDL**H factorization of a complex Hermitian positive definite tridiagonal matrix. (Computational routine.).
- ZPTTRS
- Solves a complex Hermitian positive definite tridiagonal system of linear equations, using the LDL**H factorization computed by ZPTTRF. (Computational routine.).
Package LINPACK (Downloadable; Installed on ARNO)
- CPTSL
- Solves systems with complex positive definite tridiagonal matrix.
- ZPTSL
- Solves systems with complex positive definite tridiagonal matrix.
Package NAG
- F04CGF
- Computes the solution and error-bound to a complex Hermitian positive-definite tridiagonal system of linear equations
- F07JNF
- Computes the solution to a complex Hermitian positive-definite tridiagonal system of linear equations
- F07JPF
- Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive-definite tridiagonal system of linear equations
- F07JRF
- Computes the modified Cholesky factorization of a complex Hermitian positive-definite tridiagonal matrix
- F07JSF
- Solves a complex Hermitian positive-definite tridiagonal system using the modified Cholesky factorization computed by F07JRF
- F07JUF
- Computes the reciprocal of the condition number of a complex Hermitian positive-definite tridiagonal system using the modified Cholesky factorization computed by F07JRF
- F07JVF
- Refined solution with error bounds of complex Hermitian positive-definite tridiagonal system of linear equations, multiple right-hand sides
- f04cgc
- Computes the solution and error-bound to a complex Hermitian positive-definite tridiagonal system of linear equations
Package SLATEC (Downloadable; Installed on ITL, ARNO)
- CPTSL
- Solve a complex positive definite tridiagonal linear system.