dtrmv.f

dtrmv.f(3)                          LAPACK                          dtrmv.f(3)



NAME
       dtrmv.f -

SYNOPSIS
   Functions/Subroutines
       subroutine dtrmv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
           DTRMV

Function/Subroutine Documentation
   subroutine dtrmv (characterUPLO, characterTRANS, characterDIAG, integerN,
       double precision, dimension(lda,*)A, integerLDA, double precision,
       dimension(*)X, integerINCX)
       DTRMV Purpose:


            DTRMV  performs one of the matrix-vector operations

               x := A*x,   or   x := A**T*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**T*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 DOUBLE PRECISION 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.

           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 DOUBLE PRECISION 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

                     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.

       Date:
           November 2011

       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 148 of file dtrmv.f.

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



Version 3.4.2                   Tue Sep 25 2012                     dtrmv.f(3)