--- rpl/lapack/lapack/zgerq2.f 2010/08/06 15:32:39 1.4
+++ rpl/lapack/lapack/zgerq2.f 2011/11/21 22:19:46 1.11
@@ -1,9 +1,132 @@
+*> \brief \b ZGERQ2
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZGERQ2 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZGERQ2( M, N, A, LDA, TAU, WORK, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, LDA, M, N
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZGERQ2 computes an RQ factorization of a complex 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 COMPLEX*16 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 unitary 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 COMPLEX*16 array, dimension (min(M,N))
+*> The scalar factors of the elementary reflectors (see Further
+*> Details).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is COMPLEX*16 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 November 2011
+*
+*> \ingroup complex16GEcomputational
+*
+*> \par Further Details:
+* =====================
+*>
+*> \verbatim
+*>
+*> The matrix Q is represented as a product of elementary reflectors
+*>
+*> Q = H(1)**H H(2)**H . . . H(k)**H, where k = min(m,n).
+*>
+*> Each H(i) has the form
+*>
+*> H(i) = I - tau * v * v**H
+*>
+*> where tau is a complex scalar, and v is a complex vector with
+*> v(n-k+i+1:n) = 0 and v(n-k+i) = 1; conjg(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 ZGERQ2( M, N, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* November 2011
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, M, N
@@ -12,59 +135,6 @@
COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* ZGERQ2 computes an RQ factorization of a complex 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) COMPLEX*16 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 unitary 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) COMPLEX*16 array, dimension (min(M,N))
-* The scalar factors of the elementary reflectors (see Further
-* Details).
-*
-* WORK (workspace) COMPLEX*16 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 complex scalar, and v is a complex vector with
-* v(n-k+i+1:n) = 0 and v(n-k+i) = 1; conjg(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 ..
@@ -76,7 +146,7 @@
COMPLEX*16 ALPHA
* ..
* .. External Subroutines ..
- EXTERNAL XERBLA, ZLACGV, ZLARF, ZLARFP
+ EXTERNAL XERBLA, ZLACGV, ZLARF, ZLARFG
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN
@@ -107,7 +177,7 @@
*
CALL ZLACGV( N-K+I, A( M-K+I, 1 ), LDA )
ALPHA = A( M-K+I, N-K+I )
- CALL ZLARFP( N-K+I, ALPHA, A( M-K+I, 1 ), LDA, TAU( I ) )
+ CALL ZLARFG( N-K+I, ALPHA, A( M-K+I, 1 ), LDA, TAU( I ) )
*
* Apply H(i) to A(1:m-k+i-1,1:n-k+i) from the right
*