BLAS/SRC/ctpmv.f(3)

NAME
BLAS/SRC/ctpmv.f

SYNOPSIS

  Functions/Subroutines
subroutine ctpmv (uplo, trans, diag, n, ap, x, incx)
CTPMV

Function/Subroutine Documentation

  subroutine ctpmv (character uplo, character trans, character diag, integer n, complex, dimension(*) ap, complex, dimension(*) x, integer incx)

CTPMV

Purpose:

     CTPMV  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, supplied in packed form.

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.

    AP

              AP is COMPLEX array, dimension at least
               ( ( n*( n + 1 ) )/2 ).
               Before entry with  UPLO = 'U' or 'u', the array AP must
               contain the upper triangular matrix packed sequentially,
               column by column, so that AP( 1 ) contains a( 1, 1 ),
               AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )
               respectively, and so on.
               Before entry with UPLO = 'L' or 'l', the array AP must
               contain the lower triangular matrix packed sequentially,
               column by column, so that AP( 1 ) contains a( 1, 1 ),
               AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 )
               respectively, and so on.
               Note that when  DIAG = 'U' or 'u', the diagonal elements of
               A are not referenced, but are assumed to be unity.

    X

              X is COMPLEX 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 141 of file ctpmv.f.

Author

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