centos man page for sorm2l

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 multiplies a general matrix by the orthogonal matrix from a QL factorization determined by sgeqlf (unblocked algorithm).

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 multiplies a general matrix by the orthogonal matrix from a QL factorization determined by sgeqlf (unblocked algorithm).

       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:
	   September 2012

       Definition at line 159 of file sorm2l.f.

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

Version 3.4.2							  Tue Sep 25 2012						       sorm2l.f(3)