# cupmtr(3) [centos man page]

```cupmtr.f(3)							      LAPACK							       cupmtr.f(3)

NAME
cupmtr.f -

SYNOPSIS
Functions/Subroutines
subroutine cupmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO)
CUPMTR

Function/Subroutine Documentation
subroutine cupmtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, complex, dimension( * )AP, complex, dimension( * )TAU,
complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK, integerINFO)
CUPMTR

Purpose:

CUPMTR 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 CHPTRD 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 CHPTRD;
= 'L': Lower triangular packed storage used in previous
call to CHPTRD.

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 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 CHPTRD.  AP is modified by the routine but
restored on exit.

TAU

TAU is COMPLEX 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 CHPTRD.

C

C is COMPLEX 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 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 cupmtr.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       cupmtr.f(3)```

## Check Out this Related Man Page

```CUPMTR(l)								 )								 CUPMTR(l)

NAME
CUPMTR - overwrite the general complex M-by-N matrix C with  SIDE = 'L' SIDE = 'R' TRANS = 'N'

SYNOPSIS
SUBROUTINE CUPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO )

CHARACTER	  SIDE, TRANS, UPLO

INTEGER	  INFO, LDC, M, N

COMPLEX	  AP( * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE
CUPMTR  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 CHPTRD 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).

ARGUMENTS
SIDE    (input) CHARACTER*1
= 'L': apply Q or Q**H from the Left;
= 'R': apply Q or Q**H from the Right.

UPLO    (input) CHARACTER*1
=  'U':	Upper  triangular  packed storage used in previous call to CHPTRD; = 'L': Lower triangular packed storage used in previous
call to CHPTRD.

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

M       (input) INTEGER
The number of rows of the matrix C. M >= 0.

N       (input) INTEGER
The number of columns of the matrix C. N >= 0.

AP      (input) COMPLEX 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 CHPTRD.	AP
is modified by the routine but restored on exit.

TAU     (input) COMPLEX 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 CHPTRD.

C       (input/output) COMPLEX 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     (input) INTEGER
The leading dimension of the array C. LDC >= max(1,M).

WORK    (workspace) COMPLEX array, dimension
(N) if SIDE = 'L' (M) if SIDE = 'R'

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

LAPACK version 3.0						   15 June 2000 							 CUPMTR(l)```
Man Page