Contents

• NAME
• SYNOPSIS
  • F95 INTERFACE
  • C INTERFACE
• PURPOSE
• ARGUMENTS

NAME

     sorg2l - generate an m by n real matrix Q  with  orthonormal
     columns,

SYNOPSIS

     SUBROUTINE SORG2L(M, N, K, A, LDA, TAU, WORK, INFO)

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

     SUBROUTINE SORG2L_64(M, N, K, A, LDA, TAU, WORK, INFO)

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

  F95 INTERFACE
     SUBROUTINE ORG2L([M], [N], [K], A, [LDA], TAU, [WORK], [INFO])

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

     SUBROUTINE ORG2L_64([M], [N], [K], A, [LDA], TAU, [WORK], [INFO])

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

  C INTERFACE
     #include <sunperf.h>

     void sorg2l(int m, int n, int k, float *a,  int  lda,  float
               *tau, int *info);

     void sorg2l_64(long m, long n, long k, float *a,  long  lda,
               float *tau, long *info);

PURPOSE

     sorg2l L generates an m by n real matrix Q with  orthonormal
     columns, which is defined as the last n columns of a product
     of k elementary reflectors of order m

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

     as returned by SGEQLF.

ARGUMENTS

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

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

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

     A (input/output)
               On entry, the (n-k+i)-th column must  contain  the
               vector  which  defines  the  elementary  reflector
               H(i), for i = 1,2,...,k, as returned by SGEQLF  in
               the  last  k  columns 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 SGEQLF.

     WORK (workspace)
               dimension(N)

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