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

NAME

sorg2r - generate an m by n real matrix Q with orthonormal columns,

SYNOPSIS

  SUBROUTINE SORG2R( M, N, K, A, LDA, TAU, WORK, INFO)
  INTEGER M, N, K, LDA, INFO
  REAL A(LDA,*), TAU(*), WORK(*)

  SUBROUTINE SORG2R_64( M, N, K, A, LDA, TAU, WORK, INFO)
  INTEGER*8 M, N, K, LDA, INFO
  REAL A(LDA,*), TAU(*), WORK(*)

F95 INTERFACE

  SUBROUTINE ORG2R( [M], [N], [K], A, [LDA], TAU, [WORK], [INFO])
  INTEGER :: M, N, K, LDA, INFO
  REAL, DIMENSION(:) :: TAU, WORK
  REAL, DIMENSION(:,:) :: A

  SUBROUTINE ORG2R_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 sorg2r(int m, int n, int k, float *a, int lda, float *tau, int *info);

void sorg2r_64(long m, long n, long k, float *a, long lda, float *tau, long *info);

PURPOSE

sorg2r R generates an m by n real matrix Q with orthonormal columns, which is defined as the first n columns of a product of k elementary reflectors of order m

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

as returned by SGEQRF.

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 i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by SGEQRF in the first 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 elementary reflector H(i), as returned by SGEQRF.

• WORK (workspace)
  dimension(N)

• INFO (output)
  

   = 0: successful exit

   < 0: if INFO  = -i, the i-th argument has an illegal value