ctrmv

```CTRMV(1)                         BLAS routine                         CTRMV(1)

NAME
CTRMV - performs 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                                    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.

ARGUMENTS
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.

FURTHER DETAILS
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.

BLAS routine                     November 2008                        CTRMV(1)```