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.

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

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

December 2016