ztpmv.f(3)

NAME
ztpmv.f -

SYNOPSIS

  Functions/Subroutines
subroutine ztpmv (UPLO, TRANS, DIAG, N, AP, X, INCX)
ZTPMV

Function/Subroutine Documentation

  subroutine ztpmv (characterUPLO, characterTRANS, characterDIAG, integerN, complex*16, dimension(*)AP, complex*16, dimension(*)X, integerINCX)

ZTPMV Purpose:

     ZTPMV  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*16 array of 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 (input/output) COMPLEX*16 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 143 of file ztpmv.f.

Author

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