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Linear Equations
Two types of driver routines are provided for solving systems of linear
equations:
Both types of driver routines can handle multiple right hand sides
(the columns of B).
Different driver routines are provided to take advantage of special
properties or storage schemes of the matrix A, as shown in
Table 2.2.
These driver routines cover all the functionality of the computational
routines for linear systems, except matrix
inversion. It is seldom
necessary to compute the inverse of a matrix explicitly, and it is
certainly not recommended as a means of solving linear systems.
Table 2.2:
Driver routines for linear equations
Type of matrix 
Operation 
Single precision 
Double precision 
and storage scheme 

real 
complex 
real 
complex 
general 
simple driver 
SGESV 
CGESV 
DGESV 
ZGESV 

expert driver 
SGESVX 
CGESVX 
DGESVX 
ZGESVX 
general band 
simple driver 
SGBSV 
CGBSV 
DGBSV 
ZGBSV 

expert driver 
SGBSVX 
CGBSVX 
DGBSVX 
ZGBSVX 
general tridiagonal 
simple driver 
SGTSV 
CGTSV 
DGTSV 
ZGTSV 

expert driver 
SGTSVX 
CGTSVX 
DGTSVX 
ZGTSVX 
symmetric/Hermitian 
simple driver 
SPOSV 
CPOSV 
DPOSV 
ZPOSV 
positive definite 
expert driver 
SPOSVX 
CPOSVX 
DPOSVX 
ZPOSVX 
symmetric/Hermitian 
simple driver 
SPPSV 
CPPSV 
DPPSV 
ZPPSV 
positive definite (packed storage) 
expert driver 
SPPSVX 
CPPSVX 
DPPSVX 
ZPPSVX 
symmetric/Hermitian 
simple driver 
SPBSV 
CPBSV 
DPBSV 
ZPBSV 
positive definite band 
expert driver 
SPBSVX 
CPBSVX 
DPBSVX 
ZPBSVX 
symmetric/Hermitian 
simple driver 
SPTSV 
CPTSV 
DPTSV 
ZPTSV 
positive definite tridiagonal 
expert driver 
SPTSVX 
CPTSVX 
DPTSVX 
ZPTSVX 
symmetric/Hermitian 
simple driver 
SSYSV 
CHESV 
DSYSV 
ZHESV 
indefinite 
expert driver 
SSYSVX 
CHESVX 
DSYSVX 
ZHESVX 
complex symmetric 
simple driver 

CSYSV 

ZSYSV 

expert driver 

CSYSVX 

ZSYSVX 
symmetric/Hermitian 
simple driver 
SSPSV 
CHPSV 
DSPSV 
ZHPSV 
indefinite (packed storage) 
expert driver 
SSPSVX 
CHPSVX 
DSPSVX 
ZHPSVX 
complex symmetric 
simple driver 

CSPSV 

ZSPSV 
(packed storage) 
expert driver 

CSPSVX 

ZSPSVX 
Next: Linear Least Squares (LLS)
Up: Driver Routines
Previous: Driver Routines
Contents
Index
Susan Blackford
19991001