NAME

ctrmv - perform one of the matrix-vector operations   x := A∗x, or x := A’∗x, or x := conjg( A’ )∗x

SYNOPSIS

SUBROUTINE CTRMV
( UPLO, TRANS, DIAG, N, A, LDA, X, INCX )

INTEGER INCX, LDA, N

CHARACTER∗1 DIAG, TRANS, UPLO

COMPLEX A( LDA, ∗ ), X( ∗ )

PURPOSE

CTRMV  performs one of the matrix-vector operations x := A∗x, or x := A’∗x, or x := conjg( A’ )∗x where x is an n element vector and  A is an n by n unit, or non-unit, upper or lower triangular matrix. 
 

PARAMETERS

UPLO   - CHARACTER∗1. 
On entry, UPLO specifies whether the matrix 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.

TRANS  - CHARACTER∗1. 
On entry, TRANS specifies the operation to be performed as follows:
 
TRANS = ’N’ or ’n’   x := A∗x.
 
TRANS = ’T’ or ’t’   x := A’∗x.
 
TRANS = ’C’ or ’c’   x := conjg( A’ )∗x.
 
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.

N      - INTEGER. 
On entry, N specifies the order of the matrix A. N must be at least zero. Unchanged on exit.

A      - COMPLEX          array of DIMENSION ( LDA, n ). 
Before entry with  UPLO = ’U’ or ’u’, the leading n by n 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 n by n 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. LDA must be at least max( 1, n ). Unchanged on exit.

X      - COMPLEX          array of dimension at least
( 1 + ( n - 1 )∗abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x. On exit, X is overwritten with the tranformed vector x.

INCX   - INTEGER. 
On entry, INCX specifies the increment for the elements of X. INCX must not be zero. Unchanged on exit.

SunSoft, Inc.  —  Last change: 27 Jun 1995