dormr2.f(3) [debian man page]

dormr2.f(3)							      LAPACK							       dormr2.f(3)

NAME

       dormr2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dormr2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
	   DORMR2

Function/Subroutine Documentation
   subroutine dormr2 (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double
       precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerINFO)
       DORMR2

       Purpose:

	    DORMR2 overwrites the general real m by n matrix C with

		  Q * C  if SIDE = 'L' and TRANS = 'N', or

		  Q**T* C  if SIDE = 'L' and TRANS = 'T', or

		  C * Q  if SIDE = 'R' and TRANS = 'N', or

		  C * Q**T if SIDE = 'R' and TRANS = 'T',

	    where Q is a real orthogonal matrix defined as the product of k
	    elementary reflectors

		  Q = H(1) H(2) . . . H(k)

	    as returned by DGERQF. Q is of order m if SIDE = 'L' and of order n
	    if SIDE = 'R'.

       Parameters:
	   SIDE

		     SIDE is CHARACTER*1
		     = 'L': apply Q or Q**T from the Left
		     = 'R': apply Q or Q**T from the Right

	   TRANS

		     TRANS is CHARACTER*1
		     = 'N': apply Q  (No transpose)
		     = 'T': apply Q' (Transpose)

	   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.

	   K

		     K is INTEGER
		     The number of elementary reflectors whose product defines
		     the matrix Q.
		     If SIDE = 'L', M >= K >= 0;
		     if SIDE = 'R', N >= K >= 0.

	   A

		     A is DOUBLE PRECISION array, dimension
					  (LDA,M) if SIDE = 'L',
					  (LDA,N) if SIDE = 'R'
		     The i-th row must contain the vector which defines the
		     elementary reflector H(i), for i = 1,2,...,k, as returned by
		     DGERQF in the last k rows of its array argument A.
		     A is modified by the routine but restored on exit.

	   LDA

		     LDA is INTEGER
		     The leading dimension of the array A. LDA >= max(1,K).

	   TAU

		     TAU is DOUBLE PRECISION array, dimension (K)
		     TAU(i) must contain the scalar factor of the elementary
		     reflector H(i), as returned by DGERQF.

	   C

		     C is DOUBLE PRECISION array, dimension (LDC,N)
		     On entry, the m by n matrix C.
		     On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.

	   LDC

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

	   WORK

		     WORK is DOUBLE PRECISION 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 159 of file dormr2.f.

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

Version 3.4.1							  Sun May 26 2013						       dormr2.f(3)

Check Out this Related Man Page

DORMR2(l)								 )								 DORMR2(l)

NAME

       DORMR2  - overwrite the general real m by n matrix C with  Q * C if SIDE = 'L' and TRANS = 'N', or  Q'* C if SIDE = 'L' and TRANS = 'T', or
       C * Q if SIDE = 'R' and TRANS = 'N', or	C * Q' if SIDE = 'R' and TRANS = 'T',

SYNOPSIS

       SUBROUTINE DORMR2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO )

	   CHARACTER	  SIDE, TRANS

	   INTEGER	  INFO, K, LDA, LDC, M, N

	   DOUBLE	  PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE

       DORMR2 overwrites the general real m by n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'T', or C *
       Q  if  SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'T', where Q is a real orthogonal matrix defined as the product of k
       elementary reflectors

	     Q = H(1) H(2) . . . H(k)

       as returned by DGERQF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.

ARGUMENTS

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

       TRANS   (input) CHARACTER*1
	       = 'N': apply Q  (No transpose)
	       = 'T': apply Q' (Transpose)

       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.

       K       (input) INTEGER
	       The number of elementary reflectors whose product defines the matrix Q.	If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K >= 0.

       A       (input) DOUBLE PRECISION array, dimension
	       (LDA,M) if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th row must contain the vector which defines the elementary reflector H(i),  for
	       i  =  1,2,...,k,  as  returned  by DGERQF in the last k rows of its array argument A.  A is modified by the routine but restored on
	       exit.

       LDA     (input) INTEGER
	       The leading dimension of the array A. LDA >= max(1,K).

       TAU     (input) DOUBLE PRECISION array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DGERQF.

       C       (input/output) DOUBLE PRECISION array, dimension (LDC,N)
	       On entry, the m by n matrix C.  On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q.

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

       WORK    (workspace) DOUBLE PRECISION 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 							 DORMR2(l)

Linux and UNIX Man Pages

dormr2.f(3) [debian man page]

Check Out this Related Man Page