--- rpl/lapack/lapack/zgeqr2p.f 2012/08/22 09:48:30 1.8 +++ rpl/lapack/lapack/zgeqr2p.f 2018/05/29 07:18:15 1.16 @@ -1,32 +1,32 @@ -*> \brief \b ZGEQR2P +*> \brief \b ZGEQR2P computes the QR factorization of a general rectangular matrix with non-negative diagonal elements using an unblocked algorithm. * * =========== 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 ZGEQR2P + dependencies -*> -*> [TGZ] -*> -*> [ZIP] -*> +*> Download ZGEQR2P + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> *> [TXT] -*> \endhtmlonly +*> \endhtmlonly * * Definition: * =========== * * SUBROUTINE ZGEQR2P( M, N, A, LDA, TAU, WORK, INFO ) -* +* * .. Scalar Arguments .. * INTEGER INFO, LDA, M, N * .. * .. Array Arguments .. * COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) * .. -* +* * *> \par Purpose: * ============= @@ -34,7 +34,7 @@ *> \verbatim *> *> ZGEQR2P computes a QR factorization of a complex m by n matrix A: -*> A = Q * R. +*> A = Q * R. The diagonal entries of R are real and nonnegative. *> \endverbatim * * Arguments: @@ -58,7 +58,8 @@ *> On entry, the m by n matrix A. *> On exit, the elements on and above the diagonal of the array *> contain the min(m,n) by n upper trapezoidal matrix R (R is -*> upper triangular if m >= n); the elements below the diagonal, +*> upper triangular if m >= n). The diagonal entries of R +*> are real and nonnegative; the elements below the diagonal, *> with the array TAU, represent the unitary matrix Q as a *> product of elementary reflectors (see Further Details). *> \endverbatim @@ -91,12 +92,12 @@ * 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 2011 +*> \date December 2016 * *> \ingroup complex16GEcomputational * @@ -116,15 +117,17 @@ *> where tau is a complex scalar, and v is a complex vector with *> v(1:i-1) = 0 and v(i) = 1; v(i+1:m) is stored on exit in A(i+1:m,i), *> and tau in TAU(i). +*> +*> See Lapack Working Note 203 for details *> \endverbatim *> * ===================================================================== SUBROUTINE ZGEQR2P( M, N, A, LDA, TAU, WORK, INFO ) * -* -- LAPACK computational routine (version 3.4.0) -- +* -- LAPACK computational routine (version 3.7.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2011 +* December 2016 * * .. Scalar Arguments .. INTEGER INFO, LDA, M, N