| Subprogram Name | Operation |
|---|---|
| sgesvx,
dgesvx cgesvx, zgesvx |
Solves a general system of linear equations AX=B, A**T X=B or A**H X=B, and provides an estimate of the condition number and error bounds on the solution |
| sgbsvx,
dgbsvx cgbsvx, zgbsvx |
Solves a general banded system of linear equations AX=B, A**T X=B or A**H X=B, and provides an estimate of the condition number and error bounds on the solution |
| sgtsvx,
dgtsvx cgtsvx, zgtsvx |
Solves a general tridiagonal system of linear equations AX=B, A**T X=B or A**H X=B, and provides an estimate of the condition number and error bounds on the solution |
| sposvx, dposvx | Solves a symmetric positive definite system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution |
| cposvx, zposvx | Solves a Hermitian positive definite system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the asolution |
| sppsvx, dppsvx | Solves a symmetric positive definite system of linear equations AX=B, where A is held in packed storage, and provides an estimate of the condition number and error bounds on the solution |
| cppsvx, zppsvx | Solves a Hermitian positive definite system of linear equations AX=B, where A is held in packed storage, and provides an estimate of the condition number and error bounds on the solution |
| spbsvx, dpbsvx | Solves a symmetric positive definite bandedsystem of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution |
| cpbsvx, zpbsvx | Solves a Hermitian positive definitebanded system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution |
| sptsvx, dptsvx | Solves a symmetric positive definite tridiagonal system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution |
| cptsvx, zptsvx | Solves a Hermitian positive definite tridiagonal system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution |
| ssysvx,
dsysvx csysvx, zsysvx |
Solves a real/complex symmetric indefinite system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution |
| chesvx, zhesvx | Solves a complex Hermitian indefinite system of linear equations AX=B, and provides an estimate of the condition number and error bounds on the solution |
| sspsvx,
dspsvx cspsvx, zspsvx |
Solves a real/complex symmetric indefinite system of linear equations AX=B, where A is held in packed storage, and provides an estimate of the condition number and error bounds on the solution |
| chpsvx, zhpsvx | Solves a complex Hermitian indefinite system of linear equations AX=B, where A is held in packed storage, and provides an estimate of the condition number and error bounds on the solution |
| sgelsx,
dgelsx cgelsx, zgelsx |
Computes the minimum norm least squares solution to an over- or under-determined system of linear equations A X=B, using a complete orthogonal factorization of A |
| ssyevx, dsyevx | Computes selected eigenvalues and eigenvectors of a symmetric matrix |
| cheevx, zheevx | Computes selected eigenvalues and eigenvectors of a Hermitian matrix |
| sspevx, dspevx | Computes selected eigenvalues and eigenvectors of a symmetric matrix in packed storage |
| chpevx, zhpevx | Computes selected eigenvalues and eigenvectors of a Hermitian matrix in packed storage |
| ssbevx, dsbevx | Computes selected eigenvalues and eigenvectors of a symmetric band matrix |
| chbevx, zhbevx | Computes selected eigenvalues and eigenvectors of a Hermitian band matrix |
| sstevx, dstevx | Computes selected eigenvalues and eigenvectors of a real symmetric tridiagonal matrix |
| sgeesx,
dgeesx cgeesx, zgeesx |
Computes the eigenvalues and Schur factorization of a general matrix, orders the factorization so that selected eigenvalues are at the top left of the Schur form, and computes reciprocal condition numbers for the average of the selected eigenvalues, and for the associated right invariant subspace |
| sgeevx,
dgeevx cgeevx, zgeevx |
Computes the eigenvalues and left and right eigenvectors of a general matrix, with preliminary balancing of the matrix, and computes reciprocal condition numbers for the eigenvalues and right eigenvectors |