CTRMV(3f)

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 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. Level 2 Blas routine. -- Written on 22-October-1986. Jack Dongarra, Argonne National Lab. Jeremy Du Croz, Nag Central Office. Sven Hammarling, Nag Central Office. Richard Hanson, Sandia National Labs.