spotrs (l)  Linux Man Pages
spotrs: solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF
Command to display spotrs
manual in Linux: $ man l spotrs
NAME
SPOTRS  solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF
SYNOPSIS
 SUBROUTINE SPOTRS(

UPLO, N, NRHS, A, LDA, B, LDB, INFO )

CHARACTER
UPLO

INTEGER
INFO, LDA, LDB, N, NRHS

REAL
A( LDA, * ), B( LDB, * )
PURPOSE
SPOTRS solves a system of linear equations A*X = B with a symmetric
positive definite matrix A using the Cholesky factorization
A = U**T*U or A = L*L**T computed by SPOTRF.
ARGUMENTS
 UPLO (input) CHARACTER*1

= aqUaq: Upper triangle of A is stored;
= aqLaq: Lower triangle of A is stored.
 N (input) INTEGER

The order of the matrix A. N >= 0.
 NRHS (input) INTEGER

The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.
 A (input) REAL array, dimension (LDA,N)

The triangular factor U or L from the Cholesky factorization
A = U**T*U or A = L*L**T, as computed by SPOTRF.
 LDA (input) INTEGER

The leading dimension of the array A. LDA >= max(1,N).
 B (input/output) REAL array, dimension (LDB,NRHS)

On entry, the right hand side matrix B.
On exit, the solution matrix X.
 LDB (input) INTEGER

The leading dimension of the array B. LDB >= max(1,N).
 INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = i, the ith argument had an illegal value
Pages related to spotrs
 spotrs (3)
 spotrf (l)  computes the Cholesky factorization of a real symmetric positive definite matrix A
 spotri (l)  computes the inverse of a real symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF
 spotf2 (l)  computes the Cholesky factorization of a real symmetric positive definite matrix A
 spocon (l)  estimates the reciprocal of the condition number (in the 1norm) of a real symmetric positive definite matrix using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF
 spoequ (l)  computes row and column scalings intended to equilibrate a symmetric positive definite matrix A and reduce its condition number (with respect to the twonorm)
 spoequb (l)  computes row and column scalings intended to equilibrate a symmetric positive definite matrix A and reduce its condition number (with respect to the twonorm)
 sporfs (l)  improves the computed solution to a system of linear equations when the coefficient matrix is symmetric positive definite,