BLAS/SRC/dtpmv.f(3)

NAME
BLAS/SRC/dtpmv.f

SYNOPSIS

  Functions/Subroutines
subroutine dtpmv (uplo, trans, diag, n, ap, x, incx)
DTPMV

Function/Subroutine Documentation

  subroutine dtpmv (character uplo, character trans, character diag, integer n, double precision, dimension(*) ap, double precision, dimension(*) x, integer incx)

DTPMV

Purpose:

    !>
    !> DTPMV  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, 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**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.
    !>

    AP

    !>          AP is DOUBLE PRECISION 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 DOUBLE PRECISION 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 dtpmv.f.

Author

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