ZTRMM(1)

NAME
LAPACK-3 - performs one of the matrix-matrix operations B := alpha*op( A )*B, or B := alpha*B*op( A ) where alpha is a scalar, B is an m by n matrix, A is a unit, or non-unit, upper or lower triangular matrix and op( A ) is one of op( A ) = A or op( A ) = A**T or op( A ) = A**H

SYNOPSIS

SUBROUTINE ZTRMM(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
ZTRMM performs one of the matrix-matrix operations

ARGUMENTS

SIDE   - CHARACTER*1.
     On entry, SIDE specifies whether op( A ) multiplies B from
     the left or right as follows:
     SIDE = 'L' or 'l' B := alpha*op( A )*B.
     SIDE = 'R' or 'r' B := alpha*B*op( A ).
     Unchanged on exit.

UPLO   - CHARACTER*1.
     On entry, UPLO specifies whether the matrix A is an upper or
     lower triangular matrix as follows:
     UPLO = 'U' or 'u' A is an upper triangular matrix.
     UPLO = 'L' or 'l' 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 = 'N' or 'n' op( A ) = A.
     TRANSA = 'T' or 't' op( A ) = A**T.
     TRANSA = 'C' or 'c' op( A ) = A**H.
     Unchanged on exit.

DIAG   - CHARACTER*1.
     On entry, DIAG specifies whether or not A is unit triangular
     as follows:
     DIAG = 'U' or 'u' A is assumed to be unit triangular.
     DIAG = 'N' or 'n' 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 = 'L' or 'l' and is n when SIDE = 'R' or 'r'.
     Before entry with UPLO = 'U' or 'u', 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 = 'L' or 'l', 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 = 'U' or 'u', 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 = 'L' or 'l' then
     LDA must be at least max( 1, m ), when SIDE = 'R' or 'r'
     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 matrix B, and on exit is overwritten by the
     transformed matrix.

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 8-February-1989.
    Jack Dongarra, Argonne National Laboratory.
    Iain Duff, AERE Harwell.
    Jeremy Du Croz, Numerical Algorithms Group Ltd.
    Sven Hammarling, Numerical Algorithms Group Ltd.