.TH CTPMV 1 "November 2008" "BLAS routine" "BLAS routine"
.SH NAME
CTPMV - performs one of the matrix-vector operations x := A*x, or x := A\(aq*x, or x := conjg( A\(aq )*x,
.SH SYNOPSIS
.TP 46
SUBROUTINE CTPMV(UPLO,TRANS,DIAG,N,AP,X,INCX)
.TP 46
.ti +4
INTEGER
INCX,N
.TP 46
.ti +4
CHARACTER
DIAG,TRANS,UPLO
.TP 46
.ti +4
COMPLEX
AP(*),X(*)
.SH 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 triangular matrix, supplied in packed form.
.SH ARGUMENTS
.TP 7
UPLO - CHARACTER*1.
On entry, UPLO specifies whether the matrix is an upper or
lower triangular matrix as follows:
UPLO = \(aqU\(aq or \(aqu\(aq A is an upper triangular matrix.
UPLO = \(aqL\(aq or \(aql\(aq A is a lower triangular matrix.
Unchanged on exit.
.TP 7
TRANS - CHARACTER*1.
On entry, TRANS specifies the operation to be performed as
follows:
TRANS = \(aqN\(aq or \(aqn\(aq x := A*x.
TRANS = \(aqT\(aq or \(aqt\(aq x := A\(aq*x.
TRANS = \(aqC\(aq or \(aqc\(aq x := conjg( A\(aq )*x.
Unchanged on exit.
.TP 7
DIAG - CHARACTER*1.
On entry, DIAG specifies whether or not A is unit
triangular as follows:
DIAG = \(aqU\(aq or \(aqu\(aq A is assumed to be unit triangular.
DIAG = \(aqN\(aq or \(aqn\(aq A is not assumed to be unit
triangular.
Unchanged on exit.
.TP 7
N - INTEGER.
On entry, N specifies the order of the matrix A.
N must be at least zero.
Unchanged on exit.
.TP 7
AP - COMPLEX array of DIMENSION at least
( ( n*( n + 1 ) )/2 ).
Before entry with UPLO = \(aqU\(aq or \(aqu\(aq, 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 = \(aqL\(aq or \(aql\(aq, 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 = \(aqU\(aq or \(aqu\(aq, the diagonal elements of
A are not referenced, but are assumed to be unity.
Unchanged on exit.
.TP 7
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.
.TP 7
INCX - INTEGER.
On entry, INCX specifies the increment for the elements of
X. INCX must not be zero.
Unchanged on exit.
.SH FURTHER DETAILS
Level 2 Blas routine.
.br
-- Written on 22-October-1986.
.br
Jack Dongarra, Argonne National Lab.
.br
Jeremy Du Croz, Nag Central Office.
.br
Sven Hammarling, Nag Central Office.
.br
Richard Hanson, Sandia National Labs.
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