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zunmtr.f(3) [centos man page]

zunmtr.f(3)							      LAPACK							       zunmtr.f(3)

NAME

       zunmtr.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zunmtr (SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	   ZUNMTR

Function/Subroutine Documentation
   subroutine zunmtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, complex*16,
       dimension( * )TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK, integerLWORK, integerINFO)
       ZUNMTR

       Purpose:

	    ZUNMTR 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 ZHETRD:

	    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 triangle of A contains elementary reflectors
			    from ZHETRD;
		     = 'L': Lower triangle of A contains elementary reflectors
			    from ZHETRD.

	   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.

	   A

		     A is COMPLEX*16 array, dimension
					  (LDA,M) if SIDE = 'L'
					  (LDA,N) if SIDE = 'R'
		     The vectors which define the elementary reflectors, as
		     returned by ZHETRD.

	   LDA

		     LDA is INTEGER
		     The leading dimension of the array A.
		     LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'.

	   TAU

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

	   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 (MAX(1,LWORK))
		     On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

	   LWORK

		     LWORK is INTEGER
		     The dimension of the array WORK.
		     If SIDE = 'L', LWORK >= max(1,N);
		     if SIDE = 'R', LWORK >= max(1,M).
		     For optimum performance LWORK >= N*NB if SIDE = 'L', and
		     LWORK >=M*NB if SIDE = 'R', where NB is the optimal
		     blocksize.

		     If LWORK = -1, then a workspace query is assumed; the routine
		     only calculates the optimal size of the WORK array, returns
		     this value as the first entry of the WORK array, and no error
		     message related to LWORK is issued by XERBLA.

	   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 171 of file zunmtr.f.

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

Version 3.4.2							  Tue Sep 25 2012						       zunmtr.f(3)

Check Out this Related Man Page

ZUNMTR(l)								 )								 ZUNMTR(l)

NAME

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

SYNOPSIS

       SUBROUTINE ZUNMTR( SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO )

	   CHARACTER	  SIDE, TRANS, UPLO

	   INTEGER	  INFO, LDA, LDC, LWORK, M, N

	   COMPLEX*16	  A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE

       ZUNMTR  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 ZHETRD:

       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  triangle of A contains elementary reflectors from ZHETRD; = 'L': Lower triangle of A contains elementary reflectors
	       from ZHETRD.

       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.

       A       (input) COMPLEX*16 array, dimension
	       (LDA,M) if SIDE = 'L' (LDA,N) if SIDE = 'R' The vectors which define the elementary reflectors, as returned by ZHETRD.

       LDA     (input) INTEGER
	       The leading dimension of the array A.  LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'.

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

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

       WORK    (workspace/output) COMPLEX*16 array, dimension (LWORK)
	       On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

       LWORK   (input) INTEGER
	       The  dimension  of  the	array  WORK.  If SIDE = 'L', LWORK >= max(1,N); if SIDE = 'R', LWORK >= max(1,M).  For optimum performance
	       LWORK >= N*NB if SIDE = 'L', and LWORK >=M*NB if SIDE = 'R', where NB is the optimal blocksize.

	       If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of  the  WORK  array,  returns  this
	       value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.

       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 							 ZUNMTR(l)
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