zupmtr.f man page

zupmtr.f —

Synopsis

Functions/Subroutines

subroutine zupmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO)
ZUPMTR

Function/Subroutine Documentation

subroutine zupmtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, complex*16, dimension( * )AP, complex*16, dimension( * )TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK, integerINFO)

ZUPMTR

Purpose:

ZUPMTR overwrites the general complex M-by-N matrix C with

                SIDE = 'L'     SIDE = 'R'
TRANS = 'N':      Q * C          C * Q
TRANS = 'C':      Q**H * C       C * Q**H

where Q is a complex unitary matrix of order nq, with nq = m if
SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
nq-1 elementary reflectors, as returned by ZHPTRD using packed
storage:

if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);

if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).

Parameters:

SIDE

SIDE is CHARACTER*1
= 'L': apply Q or Q**H from the Left;
= 'R': apply Q or Q**H from the Right.

UPLO

UPLO is CHARACTER*1
= 'U': Upper triangular packed storage used in previous
       call to ZHPTRD;
= 'L': Lower triangular packed storage used in previous
       call to ZHPTRD.

TRANS

TRANS is CHARACTER*1
= 'N':  No transpose, apply Q;
= 'C':  Conjugate transpose, apply Q**H.

M

M is INTEGER
The number of rows of the matrix C. M >= 0.

N

N is INTEGER
The number of columns of the matrix C. N >= 0.

AP

AP is COMPLEX*16 array, dimension
                     (M*(M+1)/2) if SIDE = 'L'
                     (N*(N+1)/2) if SIDE = 'R'
The vectors which define the elementary reflectors, as
returned by ZHPTRD.  AP is modified by the routine but
restored on exit.

TAU

TAU is COMPLEX*16 array, dimension (M-1) if SIDE = 'L'
                           or (N-1) if SIDE = 'R'
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by ZHPTRD.

C

C is COMPLEX*16 array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.

LDC

LDC is INTEGER
The leading dimension of the array C. LDC >= max(1,M).

WORK

WORK is COMPLEX*16 array, dimension
                         (N) if SIDE = 'L'
                         (M) if SIDE = 'R'

INFO

INFO is INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Definition at line 150 of file zupmtr.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

zupmtr(3) is an alias of zupmtr.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK