dorgqr.f - Man Page



subroutine dorgqr (M, N, K, A, LDA, TAU, WORK, LWORK, INFO)

Function/Subroutine Documentation

subroutine dorgqr (integer M, integer N, integer K, double precision, dimension( lda, * ) A, integer LDA, double precision, dimension( * ) TAU, double precision, dimension( * ) WORK, integer LWORK, integer INFO)



 DORGQR 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 DGEQRF.


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


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


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


          A is DOUBLE PRECISION 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 DGEQRF in the first k columns of its array
          argument A.
          On exit, the M-by-N matrix Q.


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


          TAU is DOUBLE PRECISION array, dimension (K)
          TAU(i) must contain the scalar factor of the elementary
          reflector H(i), as returned by DGEQRF.


          WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK))
          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.


          LWORK is INTEGER
          The dimension of the array WORK. LWORK >= max(1,N).
          For optimum performance LWORK >= N*NB, where NB is the
          optimal blocksize.

          If LWORK = -1, then a workspace query is assumed; the routine
          only calculates the optimal size of the WORK array, returns
          this value as the first entry of the WORK array, and no error
          message related to LWORK is issued by XERBLA.


          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

Definition at line 130 of file dorgqr.f.


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Referenced By

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

Tue Nov 14 2017 Version 3.8.0 LAPACK