--- rpl/lapack/lapack/dgerq2.f 2010/08/07 13:22:13 1.6
+++ rpl/lapack/lapack/dgerq2.f 2017/06/17 10:53:49 1.17
@@ -1,9 +1,132 @@
+*> \brief \b DGERQ2 computes the RQ factorization of a general rectangular matrix using an unblocked algorithm.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DGERQ2 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DGERQ2( M, N, A, LDA, TAU, WORK, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, LDA, M, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DGERQ2 computes an RQ factorization of a real m by n matrix A:
+*> A = R * Q.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix A. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*> A is DOUBLE PRECISION array, dimension (LDA,N)
+*> On entry, the m by n matrix A.
+*> On exit, if m <= n, the upper triangle of the subarray
+*> A(1:m,n-m+1:n) contains the m by m upper triangular matrix R;
+*> if m >= n, the elements on and above the (m-n)-th subdiagonal
+*> contain the m by n upper trapezoidal matrix R; the remaining
+*> elements, with the array TAU, represent the orthogonal matrix
+*> Q as a product of elementary reflectors (see Further
+*> Details).
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*>
+*> \param[out] TAU
+*> \verbatim
+*> TAU is DOUBLE PRECISION array, dimension (min(M,N))
+*> The scalar factors of the elementary reflectors (see Further
+*> Details).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (M)
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date December 2016
+*
+*> \ingroup doubleGEcomputational
+*
+*> \par Further Details:
+* =====================
+*>
+*> \verbatim
+*>
+*> The matrix Q is represented as a product of elementary reflectors
+*>
+*> Q = H(1) H(2) . . . H(k), where k = min(m,n).
+*>
+*> Each H(i) has the form
+*>
+*> H(i) = I - tau * v * v**T
+*>
+*> where tau is a real scalar, and v is a real vector with
+*> v(n-k+i+1:n) = 0 and v(n-k+i) = 1; v(1:n-k+i-1) is stored on exit in
+*> A(m-k+i,1:n-k+i-1), and tau in TAU(i).
+*> \endverbatim
+*>
+* =====================================================================
SUBROUTINE DGERQ2( M, N, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK routine (version 3.2.2) --
+* -- 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..--
-* June 2010
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, M, N
@@ -12,59 +135,6 @@
DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* DGERQ2 computes an RQ factorization of a real m by n matrix A:
-* A = R * Q.
-*
-* Arguments
-* =========
-*
-* M (input) INTEGER
-* The number of rows of the matrix A. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix A. N >= 0.
-*
-* A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
-* On entry, the m by n matrix A.
-* On exit, if m <= n, the upper triangle of the subarray
-* A(1:m,n-m+1:n) contains the m by m upper triangular matrix R;
-* if m >= n, the elements on and above the (m-n)-th subdiagonal
-* contain the m by n upper trapezoidal matrix R; the remaining
-* elements, with the array TAU, represent the orthogonal matrix
-* Q as a product of elementary reflectors (see Further
-* Details).
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,M).
-*
-* TAU (output) DOUBLE PRECISION array, dimension (min(M,N))
-* The scalar factors of the elementary reflectors (see Further
-* Details).
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (M)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
-* Further Details
-* ===============
-*
-* The matrix Q is represented as a product of elementary reflectors
-*
-* Q = H(1) H(2) . . . H(k), where k = min(m,n).
-*
-* Each H(i) has the form
-*
-* H(i) = I - tau * v * v'
-*
-* where tau is a real scalar, and v is a real vector with
-* v(n-k+i+1:n) = 0 and v(n-k+i) = 1; v(1:n-k+i-1) is stored on exit in
-* A(m-k+i,1:n-k+i-1), and tau in TAU(i).
-*
* =====================================================================
*
* .. Parameters ..