• NAME
• SYNOPSIS
• F95 INTERFACE
• C INTERFACE
• PURPOSE
• ARGUMENTS

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, TRANSA, DIAG, N, A, LDA, Y, INCY)
  CHARACTER * 1 UPLO, TRANSA, DIAG
  COMPLEX A(LDA,*), Y(*)
  INTEGER N, LDA, INCY

  SUBROUTINE CTRMV_64( UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)
  CHARACTER * 1 UPLO, TRANSA, DIAG
  COMPLEX A(LDA,*), Y(*)
  INTEGER*8 N, LDA, INCY

F95 INTERFACE

  SUBROUTINE TRMV( UPLO, [TRANSA], DIAG, [N], A, [LDA], Y, [INCY])
  CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
  COMPLEX, DIMENSION(:) :: Y
  COMPLEX, DIMENSION(:,:) :: A
  INTEGER :: N, LDA, INCY

  SUBROUTINE TRMV_64( UPLO, [TRANSA], DIAG, [N], A, [LDA], Y, [INCY])
  CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
  COMPLEX, DIMENSION(:) :: Y
  COMPLEX, DIMENSION(:,:) :: A
  INTEGER(8) :: N, LDA, INCY

C INTERFACE

#include <sunperf.h>

void ctrmv(char uplo, char transa, char diag, int n, complex *a, int lda, complex *y, int incy);

void ctrmv_64(char uplo, char transa, char diag, long n, complex *a, long lda, complex *y, long incy);

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.

ARGUMENTS

• UPLO (input)
  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.

• TRANSA (input)
  On entry, TRANSA specifies the operation to be performed as follows:

  TRANSA = 'N' or 'n' x : = A*x.

  TRANSA = 'T' or 't' x : = A'*x.

  TRANSA = 'C' or 'c' x : = conjg( A' )*x.

  Unchanged on exit.

• DIAG (input)
  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 (input)
  On entry, N specifies the order of the matrix A. N > = 0. Unchanged on exit.

• A (input)
  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 (input)
  On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA > = max( 1, n ). Unchanged on exit.

• Y (input/output)
  ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector x. On exit, Y is overwritten with the tranformed vector x.

• INCY (input)
  On entry, INCY specifies the increment for the elements of Y. INCY < > 0. Unchanged on exit.