BLAS/SRC/ztrmv.f(3)        Library Functions Manual        BLAS/SRC/ztrmv.f(3)

NAME
       BLAS/SRC/ztrmv.f

SYNOPSIS
   Functions/Subroutines
       subroutine ztrmv (uplo, trans, diag, n, a, lda, x, incx)
           ZTRMV

Function/Subroutine Documentation
   subroutine ztrmv (character uplo, character trans, character diag, integer
       n, complex*16, dimension(lda,*) a, integer lda, complex*16,
       dimension(*) x, integer incx)
       ZTRMV

       Purpose:


            ZTRMV  performs one of the matrix-vector operations

               x := A*x,   or   x := A**T*x,   or   x := A**H*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

                     UPLO is 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.

           TRANS

                     TRANS is 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**T*x.

                         TRANS = 'C' or 'c'   x := A**H*x.

           DIAG

                     DIAG is 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.

           N

                     N is INTEGER
                      On entry, N specifies the order of the matrix A.
                      N must be at least zero.

           A

                     A is COMPLEX*16 array, 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.

           LDA

                     LDA is 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 ).

           X

                     X is COMPLEX*16 array, 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
                      transformed vector x.

           INCX

                     INCX is INTEGER
                      On entry, INCX specifies the increment for the elements of
                      X. INCX must not be zero.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Further Details:


             Level 2 Blas routine.
             The vector and matrix arguments are not referenced when N = 0, or M = 0

             -- 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.

       Definition at line 146 of file ztrmv.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0             BLAS/SRC/ztrmv.f(3)