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RedHat 9 (Linux i386) - man page for ctpmv (redhat section l)

CTPMV(l)				   BLAS routine 				 CTPMV(l)

NAME
       CTPMV  -  perform  one  of  the matrix-vector operations   x := A*x, or x := A'*x, or x :=
       conjg( A' )*x,

SYNOPSIS
       SUBROUTINE CTPMV ( UPLO, TRANS, DIAG, N, AP, X, INCX )

	   INTEGER	INCX, N

	   CHARACTER*1	DIAG, TRANS, UPLO

	   COMPLEX	AP( * ), X( * )

PURPOSE
       CTPMV  performs one of the matrix-vector operations

       where x is an n element vector and  A is an n by n unit, or non-unit, upper or lower  tri-
       angular matrix, supplied in packed form.

PARAMETERS
       UPLO   - 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.

	      Unchanged on exit.

       TRANS  - 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'*x.

	      TRANS = 'C' or 'c'   x := conjg( A' )*x.

	      Unchanged on exit.

       DIAG   - 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.

	      Unchanged on exit.

       N      - INTEGER.
	      On entry, N specifies the order of  the  matrix  A.   N  must  be  at  least  zero.
	      Unchanged on exit.

       AP     - COMPLEX 	 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.  Unchanged on exit.

       X      - COMPLEX 	 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   - INTEGER.
	      On  entry,  INCX	specifies  the	increment for the elements of X. INCX must not be
	      zero.  Unchanged on exit.

	      Level 2 Blas routine.

	      -- 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.

BLAS routine				 16 October 1992				 CTPMV(l)


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