Contents


NAME

     dorgr2 - generate an m by n real matrix Q  with  orthonormal
     rows,

SYNOPSIS

     SUBROUTINE DORGR2(M, N, K, A, LDA, TAU, WORK, INFO)

     INTEGER M, N, K, LDA, INFO
     DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*)

     SUBROUTINE DORGR2_64(M, N, K, A, LDA, TAU, WORK, INFO)

     INTEGER*8 M, N, K, LDA, INFO
     DOUBLE PRECISION A(LDA,*), TAU(*), WORK(*)

  F95 INTERFACE
     SUBROUTINE ORGR2([M], [N], [K], A, [LDA], TAU, [WORK], [INFO])

     INTEGER :: M, N, K, LDA, INFO
     REAL(8), DIMENSION(:) :: TAU, WORK
     REAL(8), DIMENSION(:,:) :: A

     SUBROUTINE ORGR2_64([M], [N], [K], A, [LDA], TAU, [WORK], [INFO])

     INTEGER(8) :: M, N, K, LDA, INFO
     REAL(8), DIMENSION(:) :: TAU, WORK
     REAL(8), DIMENSION(:,:) :: A

  C INTERFACE
     #include <sunperf.h>

     void dorgr2(int m, int n, int k, double *a, int lda,  double
               *tau, int *info);

     void dorgr2_64(long m, long n, long k, double *a, long  lda,
               double *tau, long *info);

PURPOSE

     dorgr2 generates an m by n real matrix  Q  with  orthonormal
     rows,  which is defined as the last m rows of a product of k
     elementary reflectors of order n

           Q  =  H(1) H(2) . . . H(k)

     as returned by SGERQF.

ARGUMENTS

     M (input) The number of rows of the matrix Q. M >= 0.

     N (input) The number of columns of the matrix Q. N >= M.

     K (input) The number of elementary reflectors whose  product
               defines the matrix Q. M >= K >= 0.

     A (input/output)
               On entry, the (m-k+i)-th row must contain the vec-
               tor  which  defines the elementary reflector H(i),
               for i = 1,2,...,k, as returned by  SGERQF  in  the
               last k rows of its array argument A.  On exit, the
               m by n matrix Q.

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

     TAU (input)
               TAU(i) must contain the scalar factor of the  ele-
               mentary reflector H(i), as returned by SGERQF.

     WORK (workspace)
               dimension(M)

     INFO (output)
               = 0: successful exit
               < 0: if INFO = -i, the i-th argument has an  ille-
               gal value