sorm2l.f(3) [debian man page]

sorm2l.f(3)							      LAPACK							       sorm2l.f(3)

NAME

       sorm2l.f -

SYNOPSIS

   Functions/Subroutines
       subroutine sorm2l (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
	   SORM2L

Function/Subroutine Documentation
   subroutine sorm2l (characterSIDE, characterTRANS, integerM, integerN, integerK, real, dimension( lda, * )A, integerLDA, real, dimension( *
       )TAU, real, dimension( ldc, * )C, integerLDC, real, dimension( * )WORK, integerINFO)
       SORM2L

       Purpose:

	    SORM2L 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(k) . . . H(2) H(1)

	    as returned by SGEQLF. 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**T (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 REAL array, dimension (LDA,K)
		     The i-th column must contain the vector which defines the
		     elementary reflector H(i), for i = 1,2,...,k, as returned by
		     SGEQLF in the last k columns 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.
		     If SIDE = 'L', LDA >= max(1,M);
		     if SIDE = 'R', LDA >= max(1,N).

	   TAU

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

	   C

		     C is REAL 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 REAL 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 sorm2l.f.

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

Version 3.4.1							  Sun May 26 2013						       sorm2l.f(3)

Check Out this Related Man Page

SORM2L(l)								 )								 SORM2L(l)

NAME

       SORM2L  - 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 SORM2L( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO )

	   CHARACTER	  SIDE, TRANS

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

	   REAL 	  A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE

       SORM2L 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(k) . . . H(2) H(1)

       as returned by SGEQLF. 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) REAL array, dimension (LDA,K)
	       The i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned  by	SGEQLF	in
	       the last k columns 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.  If SIDE = 'L', LDA >= max(1,M); if SIDE = 'R', LDA >= max(1,N).

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

       C       (input/output) REAL 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) REAL 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 							 SORM2L(l)

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