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sorgtr(3P)		    Sun Performance Library		    sorgtr(3P)

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

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

       CHARACTER * 1 UPLO
       INTEGER N, LDA, LWORK, INFO
       REAL A(LDA,*), TAU(*), WORK(*)

       SUBROUTINE SORGTR_64(UPLO, N, A, LDA, TAU, WORK, LWORK, INFO)

       CHARACTER * 1 UPLO
       INTEGER*8 N, LDA, LWORK, INFO
       REAL A(LDA,*), TAU(*), WORK(*)

   F95 INTERFACE
       SUBROUTINE ORGTR(UPLO, [N], A, [LDA], TAU, [WORK], [LWORK], [INFO])

       CHARACTER(LEN=1) :: UPLO
       INTEGER :: N, LDA, LWORK, INFO
       REAL, DIMENSION(:) :: TAU, WORK
       REAL, DIMENSION(:,:) :: A

       SUBROUTINE ORGTR_64(UPLO, [N], A, [LDA], TAU, [WORK], [LWORK], [INFO])

       CHARACTER(LEN=1) :: UPLO
       INTEGER(8) :: N, LDA, LWORK, INFO
       REAL, DIMENSION(:) :: TAU, WORK
       REAL, DIMENSION(:,:) :: A

   C INTERFACE
       #include <sunperf.h>

       void sorgtr(char uplo, int n,  float  *a,  int  lda,  float  *tau,  int
		 *info);

       void  sorgtr_64(char uplo, long n, float *a, long lda, float *tau, long
		 *info);

PURPOSE
       sorgtr generates a real orthogonal matrix Q which  is  defined  as  the
       product of n-1 elementary 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)
		 =  'U':  Upper	 triangle  of A contains elementary reflectors
		 from SSYTRD; = 'L': Lower triangle of A  contains  elementary
		 reflectors from SSYTRD.

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

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

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

       TAU (input)
		 TAU(i)	 must  contain	the  scalar  factor  of the elementary
		 reflector H(i), as returned by SSYTRD.

       WORK (workspace)
		 On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

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

				  6 Mar 2009			    sorgtr(3P)
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