sormlq(3) [debian man page]

sormlq.f(3)							      LAPACK							       sormlq.f(3)

NAME

       sormlq.f -

SYNOPSIS

   Functions/Subroutines
       subroutine sormlq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	   SORMLQ

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

       Purpose:

	    SORMLQ overwrites the general real M-by-N matrix C with

			    SIDE = 'L'	   SIDE = 'R'
	    TRANS = 'N':      Q * C	     C * Q
	    TRANS = 'T':      Q**T * C	     C * Q**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 SGELQF. 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':  No transpose, apply Q;
		     = 'T':  Transpose, apply Q**T.

	   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,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
		     SGELQF in the first k rows of its array argument A.

	   LDA

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

	   TAU

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

	   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 (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 170 of file sormlq.f.

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

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