--- rpl/lapack/lapack/zlahr2.f 2012/12/14 14:22:50 1.13
+++ rpl/lapack/lapack/zlahr2.f 2023/08/07 08:39:29 1.19
@@ -2,24 +2,24 @@
*
* =========== 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 ZLAHR2 + dependencies
-*>
-*> [TGZ]
-*>
-*> [ZIP]
-*>
+*> Download ZLAHR2 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
*> [TXT]
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZLAHR2( N, K, NB, A, LDA, TAU, T, LDT, Y, LDY )
-*
+*
* .. Scalar Arguments ..
* INTEGER K, LDA, LDT, LDY, N, NB
* ..
@@ -27,7 +27,7 @@
* COMPLEX*16 A( LDA, * ), T( LDT, NB ), TAU( NB ),
* $ Y( LDY, NB )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -118,12 +118,10 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
-*
-*> \date September 2012
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
*> \ingroup complex16OTHERauxiliary
*
@@ -164,11 +162,11 @@
*> modified element of the upper Hessenberg matrix H, and vi denotes an
*> element of the vector defining H(i).
*>
-*> This subroutine is a slight modification of LAPACK-3.0's DLAHRD
+*> This subroutine is a slight modification of LAPACK-3.0's ZLAHRD
*> incorporating improvements proposed by Quintana-Orti and Van de
*> Gejin. Note that the entries of A(1:K,2:NB) differ from those
-*> returned by the original LAPACK-3.0's DLAHRD routine. (This
-*> subroutine is not backward compatible with LAPACK-3.0's DLAHRD.)
+*> returned by the original LAPACK-3.0's ZLAHRD routine. (This
+*> subroutine is not backward compatible with LAPACK-3.0's ZLAHRD.)
*> \endverbatim
*
*> \par References:
@@ -181,10 +179,9 @@
* =====================================================================
SUBROUTINE ZLAHR2( N, K, NB, A, LDA, TAU, T, LDT, Y, LDY )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- LAPACK auxiliary routine --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* September 2012
*
* .. Scalar Arguments ..
INTEGER K, LDA, LDT, LDY, N, NB
@@ -198,7 +195,7 @@
*
* .. Parameters ..
COMPLEX*16 ZERO, ONE
- PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ),
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ),
$ ONE = ( 1.0D+0, 0.0D+0 ) )
* ..
* .. Local Scalars ..
@@ -226,10 +223,10 @@
*
* Update I-th column of A - Y * V**H
*
- CALL ZLACGV( I-1, A( K+I-1, 1 ), LDA )
+ CALL ZLACGV( I-1, A( K+I-1, 1 ), LDA )
CALL ZGEMV( 'NO TRANSPOSE', N-K, I-1, -ONE, Y(K+1,1), LDY,
$ A( K+I-1, 1 ), LDA, ONE, A( K+1, I ), 1 )
- CALL ZLACGV( I-1, A( K+I-1, 1 ), LDA )
+ CALL ZLACGV( I-1, A( K+I-1, 1 ), LDA )
*
* Apply I - V * T**H * V**H to this column (call it b) from the
* left, using the last column of T as workspace
@@ -242,31 +239,31 @@
* w := V1**H * b1
*
CALL ZCOPY( I-1, A( K+1, I ), 1, T( 1, NB ), 1 )
- CALL ZTRMV( 'Lower', 'Conjugate transpose', 'UNIT',
+ CALL ZTRMV( 'Lower', 'Conjugate transpose', 'UNIT',
$ I-1, A( K+1, 1 ),
$ LDA, T( 1, NB ), 1 )
*
* w := w + V2**H * b2
*
- CALL ZGEMV( 'Conjugate transpose', N-K-I+1, I-1,
+ CALL ZGEMV( 'Conjugate transpose', N-K-I+1, I-1,
$ ONE, A( K+I, 1 ),
$ LDA, A( K+I, I ), 1, ONE, T( 1, NB ), 1 )
*
* w := T**H * w
*
- CALL ZTRMV( 'Upper', 'Conjugate transpose', 'NON-UNIT',
+ CALL ZTRMV( 'Upper', 'Conjugate transpose', 'NON-UNIT',
$ I-1, T, LDT,
$ T( 1, NB ), 1 )
*
* b2 := b2 - V2*w
*
- CALL ZGEMV( 'NO TRANSPOSE', N-K-I+1, I-1, -ONE,
+ CALL ZGEMV( 'NO TRANSPOSE', N-K-I+1, I-1, -ONE,
$ A( K+I, 1 ),
$ LDA, T( 1, NB ), 1, ONE, A( K+I, I ), 1 )
*
* b1 := b1 - V1*w
*
- CALL ZTRMV( 'Lower', 'NO TRANSPOSE',
+ CALL ZTRMV( 'Lower', 'NO TRANSPOSE',
$ 'UNIT', I-1,
$ A( K+1, 1 ), LDA, T( 1, NB ), 1 )
CALL ZAXPY( I-1, -ONE, T( 1, NB ), 1, A( K+1, I ), 1 )
@@ -284,13 +281,13 @@
*
* Compute Y(K+1:N,I)
*
- CALL ZGEMV( 'NO TRANSPOSE', N-K, N-K-I+1,
+ CALL ZGEMV( 'NO TRANSPOSE', N-K, N-K-I+1,
$ ONE, A( K+1, I+1 ),
$ LDA, A( K+I, I ), 1, ZERO, Y( K+1, I ), 1 )
- CALL ZGEMV( 'Conjugate transpose', N-K-I+1, I-1,
+ CALL ZGEMV( 'Conjugate transpose', N-K-I+1, I-1,
$ ONE, A( K+I, 1 ), LDA,
$ A( K+I, I ), 1, ZERO, T( 1, I ), 1 )
- CALL ZGEMV( 'NO TRANSPOSE', N-K, I-1, -ONE,
+ CALL ZGEMV( 'NO TRANSPOSE', N-K, I-1, -ONE,
$ Y( K+1, 1 ), LDY,
$ T( 1, I ), 1, ONE, Y( K+1, I ), 1 )
CALL ZSCAL( N-K, TAU( I ), Y( K+1, I ), 1 )
@@ -298,7 +295,7 @@
* Compute T(1:I,I)
*
CALL ZSCAL( I-1, -TAU( I ), T( 1, I ), 1 )
- CALL ZTRMV( 'Upper', 'No Transpose', 'NON-UNIT',
+ CALL ZTRMV( 'Upper', 'No Transpose', 'NON-UNIT',
$ I-1, T, LDT,
$ T( 1, I ), 1 )
T( I, I ) = TAU( I )
@@ -309,15 +306,15 @@
* Compute Y(1:K,1:NB)
*
CALL ZLACPY( 'ALL', K, NB, A( 1, 2 ), LDA, Y, LDY )
- CALL ZTRMM( 'RIGHT', 'Lower', 'NO TRANSPOSE',
+ CALL ZTRMM( 'RIGHT', 'Lower', 'NO TRANSPOSE',
$ 'UNIT', K, NB,
$ ONE, A( K+1, 1 ), LDA, Y, LDY )
IF( N.GT.K+NB )
- $ CALL ZGEMM( 'NO TRANSPOSE', 'NO TRANSPOSE', K,
+ $ CALL ZGEMM( 'NO TRANSPOSE', 'NO TRANSPOSE', K,
$ NB, N-K-NB, ONE,
$ A( 1, 2+NB ), LDA, A( K+1+NB, 1 ), LDA, ONE, Y,
$ LDY )
- CALL ZTRMM( 'RIGHT', 'Upper', 'NO TRANSPOSE',
+ CALL ZTRMM( 'RIGHT', 'Upper', 'NO TRANSPOSE',
$ 'NON-UNIT', K, NB,
$ ONE, T, LDT, Y, LDY )
*