ztrsm (l)  Linux Manuals
ztrsm: solves one of the matrix equations op( A )*X = alpha*B, or X*op( A ) = alpha*B,
NAME
ZTRSM  solves one of the matrix equations op( A )*X = alpha*B, or X*op( A ) = alpha*B,SYNOPSIS
 SUBROUTINE ZTRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
 DOUBLE COMPLEX ALPHA
 INTEGER LDA,LDB,M,N
 CHARACTER DIAG,SIDE,TRANSA,UPLO
 DOUBLE COMPLEX A(LDA,*),B(LDB,*)
PURPOSE
ZTRSM solves one of the matrix equationswhere alpha is a scalar, X and B are m by n matrices, A is a unit, or nonunit, upper or lower triangular matrix and op( A ) is one of
op(
The matrix X is overwritten on B.
ARGUMENTS
 SIDE  CHARACTER*1.

On entry, SIDE specifies whether op( A ) appears on the left
or right of X as follows:
SIDE = aqLaq or aqlaq op( A )*X = alpha*B.
SIDE = aqRaq or aqraq X*op( A ) = alpha*B.
Unchanged on exit.
 UPLO  CHARACTER*1.

On entry, UPLO specifies whether the matrix A is an upper or
lower triangular matrix as follows:
UPLO = aqUaq or aquaq A is an upper triangular matrix.
UPLO = aqLaq or aqlaq A is a lower triangular matrix.
Unchanged on exit.
TRANSA  CHARACTER*1. On entry, TRANSA specifies the form of op( A ) to be used in the matrix multiplication as follows:
TRANSA = aqNaq or aqnaq op( A ) = A.
TRANSA = aqTaq or aqtaq op( A ) = Aaq.
TRANSA = aqCaq or aqcaq op( A ) = conjg( Aaq ).
Unchanged on exit.
 DIAG  CHARACTER*1.

On entry, DIAG specifies whether or not A is unit triangular
as follows:
DIAG = aqUaq or aquaq A is assumed to be unit triangular.
DIAG = aqNaq or aqnaq A is not assumed to be unit triangular.
Unchanged on exit.
 M  INTEGER.
 On entry, M specifies the number of rows of B. M must be at least zero. Unchanged on exit.
 N  INTEGER.
 On entry, N specifies the number of columns of B. N must be at least zero. Unchanged on exit.
 ALPHA  COMPLEX*16 .
 On entry, ALPHA specifies the scalar alpha. When alpha is zero then A is not referenced and B need not be set before entry. Unchanged on exit.
 A  COMPLEX*16 array of DIMENSION ( LDA, k ), where k is m
 when SIDE = aqLaq or aqlaq and is n when SIDE = aqRaq or aqraq. Before entry with UPLO = aqUaq or aquaq, the leading k by k upper triangular part of the array A must contain the upper triangular matrix and the strictly lower triangular part of A is not referenced. Before entry with UPLO = aqLaq or aqlaq, the leading k by k lower triangular part of the array A must contain the lower triangular matrix and the strictly upper triangular part of A is not referenced. Note that when DIAG = aqUaq or aquaq, the diagonal elements of A are not referenced either, but are assumed to be unity. Unchanged on exit.
 LDA  INTEGER.
 On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When SIDE = aqLaq or aqlaq then LDA must be at least max( 1, m ), when SIDE = aqRaq or aqraq then LDA must be at least max( 1, n ). Unchanged on exit.
 B  COMPLEX*16 array of DIMENSION ( LDB, n ).
 Before entry, the leading m by n part of the array B must contain the righthand side matrix B, and on exit is overwritten by the solution matrix X.
 LDB  INTEGER.
 On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. LDB must be at least max( 1, m ). Unchanged on exit.
FURTHER DETAILS
Level 3 Blas routine.
 Written on 8February1989.
Jack Dongarra, Argonne National Laboratory.
Iain Duff, AERE Harwell.
Jeremy Du Croz, Numerical Algorithms Group Ltd.
Sven Hammarling, Numerical Algorithms Group Ltd.