--- rpl/lapack/lapack/ztzrzf.f 2011/11/21 22:19:59 1.10
+++ rpl/lapack/lapack/ztzrzf.f 2018/05/29 07:18:41 1.18
@@ -2,31 +2,31 @@
*
* =========== 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 ZTZRZF + dependencies
-*>
-*> [TGZ]
-*>
-*> [ZIP]
-*>
+*> Download ZTZRZF + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
*> [TXT]
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZTZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, LWORK, M, N
* ..
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -111,12 +111,12 @@
* 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 April 2012
*
*> \ingroup complex16OTHERcomputational
*
@@ -130,40 +130,31 @@
*>
*> \verbatim
*>
-*> The factorization is obtained by Householder's method. The kth
-*> transformation matrix, Z( k ), which is used to introduce zeros into
-*> the ( m - k + 1 )th row of A, is given in the form
+*> The N-by-N matrix Z can be computed by
*>
-*> Z( k ) = ( I 0 ),
-*> ( 0 T( k ) )
+*> Z = Z(1)*Z(2)* ... *Z(M)
*>
-*> where
+*> where each N-by-N Z(k) is given by
*>
-*> T( k ) = I - tau*u( k )*u( k )**H, u( k ) = ( 1 ),
-*> ( 0 )
-*> ( z( k ) )
+*> Z(k) = I - tau(k)*v(k)*v(k)**H
*>
-*> tau is a scalar and z( k ) is an ( n - m ) element vector.
-*> tau and z( k ) are chosen to annihilate the elements of the kth row
-*> of X.
+*> with v(k) is the kth row vector of the M-by-N matrix
*>
-*> The scalar tau is returned in the kth element of TAU and the vector
-*> u( k ) in the kth row of A, such that the elements of z( k ) are
-*> in a( k, m + 1 ), ..., a( k, n ). The elements of R are returned in
-*> the upper triangular part of A.
+*> V = ( I A(:,M+1:N) )
*>
-*> Z is given by
+*> I is the M-by-M identity matrix, A(:,M+1:N)
+*> is the output stored in A on exit from DTZRZF,
+*> and tau(k) is the kth element of the array TAU.
*>
-*> Z = Z( 1 ) * Z( 2 ) * ... * Z( m ).
*> \endverbatim
*>
* =====================================================================
SUBROUTINE ZTZRZF( M, N, A, LDA, TAU, WORK, LWORK, 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
+* April 2012
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, LWORK, M, N