# sorg2r.f - Man Page

## Synopsis

### Functions/Subroutines

subroutine **sorg2r** (M, **N**, K, A, **LDA**, TAU, WORK, INFO)**SORG2R** generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf (unblocked algorithm).

## Function/Subroutine Documentation

### subroutine sorg2r (integer M, integer N, integer K, real, dimension( lda, * ) A, integer LDA, real, dimension( * ) TAU, real, dimension( * ) WORK, integer INFO)

**SORG2R** generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf (unblocked algorithm).

**Purpose:**

SORG2R 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.

**Parameters:***M*M is INTEGER The number of rows of the matrix Q. M >= 0.

*N*N is INTEGER The number of columns of the matrix Q. M >= N >= 0.

*K*K is INTEGER The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.

*A*A is REAL array, dimension (LDA,N) 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*LDA is INTEGER The first dimension of the array A. LDA >= max(1,M).

*TAU*TAU is REAL array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGEQRF.

*WORK*WORK is REAL array, dimension (N)

*INFO*INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument has an illegal value

**Author:**Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

**Date:**December 2016

Definition at line 116 of file sorg2r.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page sorg2r(3) is an alias of sorg2r.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK