DORMRZ man page on IRIX

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DORMRZ(3S)							    DORMRZ(3S)

NAME
     DORMRZ - overwrite the general real M-by-N matrix C with  SIDE = 'L' SIDE
     = 'R' TRANS = 'N'

SYNOPSIS
     SUBROUTINE DORMRZ( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK,
			LWORK, INFO )

	 CHARACTER	SIDE, TRANS

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

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

IMPLEMENTATION
     These routines are part of the SCSL Scientific Library and can be loaded
     using either the -lscs or the -lscs_mp option.  The -lscs_mp option
     directs the linker to use the multi-processor version of the library.

     When linking to SCSL with -lscs or -lscs_mp, the default integer size is
     4 bytes (32 bits). Another version of SCSL is available in which integers
     are 8 bytes (64 bits).  This version allows the user access to larger
     memory sizes and helps when porting legacy Cray codes.  It can be loaded
     by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use
     only one of the two versions; 4-byte integer and 8-byte integer library
     calls cannot be mixed.

PURPOSE
     DORMRZ 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(1) H(2) . . . H(k)

     as returned by DTZRZF. 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**T from the Left;
	     = 'R': apply Q or Q**T from the Right.

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

									Page 1

DORMRZ(3S)							    DORMRZ(3S)

     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.

     L	     (input) INTEGER
	     The number of columns of the matrix A containing the meaningful
	     part of the Householder reflectors.  If SIDE = 'L', M >= L >= 0,
	     if SIDE = 'R', N >= L >= 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 DTZRZF 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 DTZRZF.

     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**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) DOUBLE PRECISION 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.

									Page 2

DORMRZ(3S)							    DORMRZ(3S)

     INFO    (output) INTEGER
	     = 0:  successful exit
	     < 0:  if INFO = -i, the i-th argument had an illegal value

FURTHER DETAILS
     Based on contributions by
       A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

SEE ALSO
     INTRO_LAPACK(3S), INTRO_SCSL(3S)

     This man page is available only online.

									Page 3

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