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)

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