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RedHat 9 (Linux i386) - man page for sorgtr (redhat section l)

SORGTR(l)					)					SORGTR(l)

NAME
       SORGTR  -  generate a real orthogonal matrix Q which is defined as the product of n-1 ele-
       mentary reflectors of order N, as returned by SSYTRD

SYNOPSIS
       SUBROUTINE SORGTR( UPLO, N, A, LDA, TAU, WORK, LWORK, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, LDA, LWORK, N

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

PURPOSE
       SORGTR generates a real orthogonal matrix Q which is defined as the product of n-1 elemen-
       tary  reflectors  of  order N, as returned by SSYTRD: if UPLO = 'U', Q = H(n-1) . . . H(2)
       H(1),

       if UPLO = 'L', Q = H(1) H(2) . . . H(n-1).

ARGUMENTS
       UPLO    (input) CHARACTER*1
	       = 'U': Upper triangle of A contains elementary  reflectors  from  SSYTRD;  =  'L':
	       Lower triangle of A contains elementary reflectors from SSYTRD.

       N       (input) INTEGER
	       The order of the matrix Q. N >= 0.

       A       (input/output) REAL array, dimension (LDA,N)
	       On  entry,  the	vectors  which	define	the elementary reflectors, as returned by
	       SSYTRD.	On exit, the N-by-N orthogonal matrix Q.

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

       TAU     (input) REAL array, dimension (N-1)
	       TAU(i) must contain the	scalar	factor	of  the  elementary  reflector	H(i),  as
	       returned by SSYTRD.

       WORK    (workspace/output) REAL array, dimension (LWORK)
	       On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

       LWORK   (input) INTEGER
	       The  dimension  of  the	array WORK. LWORK >= max(1,N-1).  For optimum performance
	       LWORK >= (N-1)*NB, 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    (output) INTEGER
	       = 0:  successful exit
	       < 0:  if INFO = -i, the i-th argument had an illegal value

LAPACK version 3.0			   15 June 2000 				SORGTR(l)


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