| Routine Name | Operation |
|---|---|
| sgetrf,
dgetrf cgetrf, zgetrf |
Computes an LU factorization of a general matrix, using partial pivoting with row interchanges |
| sgetrs,
dgetrs cgetrs, zgetrs |
Solves a general system of linear equations AX=B, A**T X=B or A**H X=B, using the LU factorization computed by SGETRF/CGETRF |
| sgecon,
dgecon cgecon, zgecon |
Estimates the reciprocal of the condition number of a general matrix, in either the 1-norm or the infinity-norm, using the LU factorization computed by SGETRF/CGETRF |
| sgerfs,
dgerfs cgerfs, zgerfs |
Improves the computed solution to a general system of linear equations AX=B, A**T X=B or A**H X=B, and provides forward and backward error bounds for the solution |
| sgetri,
dgetri cgetri, zgetri |
Computes the inverse of a general matrix, using the LU factorization computed by SGETRF/CGETRF |
| sgeequ,
dgeequ cgeequ, zgeequ |
Computes row and column scalings to equilibrate a general rectangular matrix and reduce its condition number |
| sgbtrf,
dgbtrf cgbtrf, zgbtrf |
Computes an LU factorization of a general band matrix, using partial pivoting with row interchanges |
| sgbtrs,
dgbtrs cgbtrs, zgbtrs |
Solves a general banded system of linear equations AX=B, A**T X=B or A**H X=B, using the LU factorization computed by SGBTRF/CGBTRF |
| sgbcon,
dgbcon cgbcon, zgbcon |
Estimates the reciprocal of the condition number of a general band matrix, in either the 1-norm or the infinity-norm, using the LU factorization computed by SGBTRF/CGBTRF |
| sgbrfs,
dgbrfs cgbrfs, zgbrfs |
Improves the computed solution to a general banded system of linear equations AX=B, A**T X=B or A**H X=B, and provides forward and backward error bounds for the solution |
| sgbequ,
dgbequ cgbequ, zgbequ |
Computes row and column scalings to equilibrate a general band matrix and reduce its condition number |
| sgttrf,
dgttrf cgttrf, zgttrf |
Computes an LU factorization of a general tridiagonal matrix, using partial pivoting with row interchanges |
| sgttrs,
dgttrs cgttrs, zgttrs |
Solves a general tridiagonal system of linear equations AX=B, A**T X=B or A**H X=B, using the LU factorization computed by SGTTRF/CGTTRF |
| sgtcon,
dgtcon cgtcon, zgtcon |
Estimates the reciprocal of the condition number of a general tridiagonal matrix, in either the 1-norm or the infinity-norm, using the LU factorization computed by SGTTRF/CGTTRF |
| sgtrfs,
dgtrfs cgtrfs, zgtrfs |
Improves the computed solution to a general tridiagonal system of linear equations AX=B, A**T X=B or A**H X=B, and providesforward and backward error bounds for the solution |
| spotrf,
dpotrf cpotrf, zpotrf |
Computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix |
| spotrs,
dpotrs cpotrs, zpotrs |
Solves a symmetric/Hermitian positive definite system of linear equations AX=B, using the Cholesky factorization computed by SPOTRF/CPOTRF |
| spocon,
dpocon cpocon, zpocon |
Estimates the reciprocal of the condition number of a symmetric/Hermitian positive definite matrix, using the Cholesky factorization computed by SPOTRF/CPOTRF |
| sporfs,
dporfs cporfs, zporfs |
Improves the computed solution to a symmetric/Hermitian positive definite system of linear equations AX=B, and provides forward and backward error bounds for the solution |
| spotri,
dpotri cpotri, zpotri |
Computes the inverse of a symmetric/Hermitian positive definite matrix, using the Cholesky factorization computed by SPOTRF/CPOTRF |
| spoequ,
dpoequ cpoequ, zpoequ |
Computes row and column scalings to equilibrate a symmetric/Hermitian positive definite matrix and reduce its condition number |
| spptrf,
dpptrf cpptrf, zpptrf |
Computes the Cholesky factorization of a symmetric/Hermitian positive definite matrix in packed storage |
| spptrs,
dpptrs cpptrs, zpptrs |
Solves a symmetric/Hermitian positive definite system of linear equations AX=B, where A is held in packed storage, using the Cholesky factorization computed by SPPTRF/CPPTRF |
| sppcon,
dppcon cppcon, zppcon |
Estimates the reciprocal of the condition number of a symmetric/Hermitian positive definite matrix in packed storage, using the Cholesky factorization computed by SPPTRF/CPPTRF |
| spprfs,
dpprfs cpprfs, zpprfs |
Improves the computed solution to a symmetric/Hermitian positive definite system of linear equations AX=B, where A is held in packed storage, and provides forward and backward error bounds for the solution |
| spptri,
dpptri cpptri, zpptri |
Computes the inverse of a symmetric/Hermitian positive definite matrix in packed storage, using the Cholesky factorization computed by SPPTRF/CPPTRF |
| sppequ,
dppequ cppequ, zppequ |
Computes row and column scalings to equilibrate a symmetric/hermitian positive definite matrix in packed storage and reduce its condition number |
| spbtrf,
dpbtrf cpbtrf, zpbtrf |
Computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix |
| spbtrs,
dpbtrs cpbtrs, zpbtrs |
Solves a symmetric/Hermitian positive definite banded system of linear equations AX=B, using the Cholesky factorization computed by SPBTRF/CPBTRF |
| spbcon,
dpbcon cpbcon, zpbcon |
Estimates the reciprocal of the condition number of a symmetric/Hermitian positive definite band matrix, using the Cholesky factorization computed by SPBTRF/CPBTRF |
| spbrfs,
dpbrfs cpbrfs, zpbrfs |
Improves the computed solution to a symmetric/Hermitian positive definite banded system of linear equations AX=B, and provides forward and backward error bounds for the solution |
| spbequ,
dpbequ cpbequ, zpbequ |
Computes row and column scalings to equilibrate a symmetric/Hermitian positive definite band matrix and reduce its condition number |
| spttrf,
dpttrf cpttrf, zpttrf |
Computes the LDL**H factorization of a symmetric/Hermitian positive definite tridiagonal matrix |
| spttrs,
dpttrs cpttrs, zpttrs |
Solves a symmetric/Hermitian positive definite tridiagonal system of linear equations, using the LDL**H factorization computed by SPTTRF/CPTTRF |
| sptcon,
dptcon cptcon, zptcon |
Computes the reciprocal of the condition number of a symmetric/Hermitian positive definite tridiagonal matrix, using the LDL**H factorization computed by SPTTRF/CPTTRF |
| sptrfs,
dptrfs cptrfs, zptrfs |
Improves the computed solution to a symmetric/Hermitian positive definite tridiagonal system of linear equations AX=B, and provides forward and backward error bounds for the solution |
| ssytrf,
dsytrf csytrf, zsytrf |
Computes the factorization of a real/complex symmetric indefinite matrix, using the diagonal pivoting method |
| ssytrs,
dsytrs csytrs, zsytrs |
Solves a real/complex symmetric indefinite system of linear equations AX=B, using the factorization computed by SSPTRF/CSPTRF |
| ssycon,
dsycon csycon, zsycon |
Estimates the reciprocal of the condition number of a real/complex symmetric indefinite matrix, using the factorization computed by SSYTRF/CSYTRF |
| ssyrfs,
dsyrfs csyrfs, zsyrfs |
Improves the computed solution to a real/complex/ symmetric indefinite system of linear equations AX=B, and provides forward and backward error bounds for the solution |
| ssytri,
dsytri csytri, zsytri |
Computes the inverse of a real/complex symmetric indefinite matrix, using the factorization computed by SSYTRF/CSYTRF |
| chetrf, zhetrf | Computes the factorization of a complex Hermitian indefinite matrix, using the diagonal pivoting method |
| chetrs, zhetrs | Solves a complex Hermitian indefinite system of linear equations AX=B, using the factorization computed by CHPTRF |
| checon, zhecon | Estimates the reciprocal of the condition number of a complex Hermitian indefinite matrix, using the factorization computed by CHETRF |
| cherfs, zherfs | Improves the computed solution to a complex Hermitian indefinite system of linear equations AX=B, and provides forward and backward error bounds for the solution |
| chetri, zhetri | Computes the inverse of a complex Hermitian indefinite matrix, using the factorization computed by CHETRF |
| ssptrf,
dsptrf csptrf, zsptrf |
Computes the factorization of a real/complex symmetric indefinite matrix in packed storage, using the diagonal pivoting method |
| ssptrs,
dsptrs csptrs, zsptrs |
Solves a real/complex symmetric indefinite system of linear equations AX=B, where A is held in packed storage, using the factorization computed by SSPTRF/CSPTRF |
| sspcon,
dspcon cspcon, zspcon |
Estimates the reciprocal of the condition number of a real/complex symmetric indefinite matrix in packed storage, using the factorization computed by SSPTRF/CSPTRF |
| ssprfs,
dsprfs csprfs, zsprfs |
Improves the computed solution to a real/complex symmetric indefinite system of linear equations AX=B, where A is held in packed storage, and provides forward and backward error bounds for the solution |
| ssptri,
dsptri csptri, zsptri |
Computes the inverse of a real/complex symmetric indefinite matrix in packed storage, using the factorization computed by SSPTRF/CSPTRF |
| chptrf, zhptrf | Computes the factorization of a complex Hermitian indefinite matrix in packed storage, using the diagonal pivoting method |
| chptrs, zhptrs | Solves a complex Hermitian indefinite system of linear equations AX=B, where A is held in packed storage, using the factorization computed by CHPTRF |
| chpcon, zhpcon | Estimates the reciprocal of the condition number of a complex Hermitian indefinite matrix in packed storage, using the factorization computed by CHPTRF |
| chprfs, zhprfs | Improves the computed solution to a complex Hermitian indefinite system of linear equations AX=B, where A is held in packed storage, and provides forward and backward error bounds for the solution |
| chptri, zhptri | Computes the inverse of a complex Hermitian indefinite matrix in packed storage, using the factorization computed by CHPTRF |
| strtrs,
dtrtrs ctrtrs, ztrtrs |
Solves a triangular system of linear equations AX=B, A**T X=B or A**H X=B |
| strcon,
dtrcon ctrcon, ztrcon |
Estimates the reciprocal of the condition number of a triangular matrix, in either the 1-norm or the infinity-norm |
| strrfs,
dtrrfs ctrrfs, ztrrfs |
Provides forward and backward error bounds for the solution of a triangular system of linear equations A X=B, A**T X=B or A**H X=B |
| strtri,
dtrtri ctrtri, ztrtri |
Computes the inverse of a triangular matrix |
| stptrs,
dtptrs ctptrs, ztptrs |
Solves a triangular system of linear equations AX=B, A**T X=B or A**H X=B, where A is held in packed storage |
| stpcon,
dtpcon ctpcon, ztpcon |
Estimates the reciprocal of the condition number of a triangular matrix in packed storage, in either the 1-norm or the infinity-norm |
| stprfs,
dtprfs ctprfs, ztprfs |
Provides forward and backward error bounds for the solution of a triangular system of linear equations AX=B, A**T X=B or A**H X=B, where A is held in packed storage |
| stptri,
dtptri ctptri, ztptri |
Computes the inverse of a triangular matrix in packed storage |
| stbtrs,
dtbtrs ctbtrs, ztbtrs |
Solves a triangular banded system of linear equations AX=B, A**T X=B or A**H X=B |
| stbcon,
dtbcon ctbcon, ztbcon |
Estimates the reciprocal of the condition number of a triangular band matrix, in either the 1-norm or the infinity-norm |
| stbrfs,
dtbrfs ctbrfs, ztbrfs |
Provides forward and backward error bounds for the solution of a triangular banded system of linear equations AX=B, A**T X=B or A**H X=B |