--- rpl/lapack/lapack/dgeqrfp.f 2015/11/26 11:44:15 1.11 +++ rpl/lapack/lapack/dgeqrfp.f 2020/05/21 21:45:56 1.16 @@ -2,39 +2,49 @@ * * =========== DOCUMENTATION =========== * -* Online html documentation available at -* http://www.netlib.org/lapack/explore-html/ +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ * *> \htmlonly -*> Download DGEQRFP + dependencies -*> -*> [TGZ] -*> -*> [ZIP] -*> +*> Download DGEQRFP + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> *> [TXT] -*> \endhtmlonly +*> \endhtmlonly * * Definition: * =========== * * SUBROUTINE DGEQRFP( M, N, A, LDA, TAU, WORK, LWORK, INFO ) -* +* * .. Scalar Arguments .. * INTEGER INFO, LDA, LWORK, M, N * .. * .. Array Arguments .. * DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * ) * .. -* +* * *> \par Purpose: * ============= *> *> \verbatim *> -*> DGEQRFP computes a QR factorization of a real M-by-N matrix A: -*> A = Q * R. The diagonal entries of R are nonnegative. +*> DGEQR2P computes a QR factorization of a real M-by-N matrix A: +*> +*> A = Q * ( R ), +*> ( 0 ) +*> +*> where: +*> +*> Q is a M-by-M orthogonal matrix; +*> R is an upper-triangular N-by-N matrix with nonnegative diagonal +*> entries; +*> 0 is a (M-N)-by-N zero matrix, if M > N. +*> *> \endverbatim * * Arguments: @@ -107,12 +117,12 @@ * Authors: * ======== * -*> \author Univ. of Tennessee -*> \author Univ. of California Berkeley -*> \author Univ. of Colorado Denver -*> \author NAG Ltd. +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * -*> \date November 2015 +*> \date November 2019 * *> \ingroup doubleGEcomputational * @@ -139,10 +149,10 @@ * ===================================================================== SUBROUTINE DGEQRFP( M, N, A, LDA, TAU, WORK, LWORK, INFO ) * -* -- LAPACK computational routine (version 3.6.0) -- +* -- LAPACK computational routine (version 3.9.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2015 +* November 2019 * * .. Scalar Arguments .. INTEGER INFO, LDA, LWORK, M, N