--- rpl/lapack/lapack/zsytrs2.f	2012/12/14 14:22:55	1.7
+++ rpl/lapack/lapack/zsytrs2.f	2023/08/07 08:39:39	1.16
@@ -2,25 +2,25 @@
 *
 *  =========== 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 ZSYTRS2 + dependencies 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsytrs2.f"> 
-*> [TGZ]</a> 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsytrs2.f"> 
-*> [ZIP]</a> 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsytrs2.f"> 
+*> Download ZSYTRS2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsytrs2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsytrs2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsytrs2.f">
 *> [TXT]</a>
-*> \endhtmlonly 
+*> \endhtmlonly
 *
 *  Definition:
 *  ===========
 *
-*       SUBROUTINE ZSYTRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, 
+*       SUBROUTINE ZSYTRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB,
 *                           WORK, INFO )
-* 
+*
 *       .. Scalar Arguments ..
 *       CHARACTER          UPLO
 *       INTEGER            INFO, LDA, LDB, N, NRHS
@@ -29,14 +29,14 @@
 *       INTEGER            IPIV( * )
 *       COMPLEX*16       A( LDA, * ), B( LDB, * ), WORK( * )
 *       ..
-*  
+*
 *
 *> \par Purpose:
 *  =============
 *>
 *> \verbatim
 *>
-*> ZSYTRS2 solves a system of linear equations A*X = B with a real
+*> ZSYTRS2 solves a system of linear equations A*X = B with a complex
 *> symmetric matrix A using the factorization A = U*D*U**T or
 *> A = L*D*L**T computed by ZSYTRF and converted by ZSYCONV.
 *> \endverbatim
@@ -66,11 +66,16 @@
 *>          of the matrix B.  NRHS >= 0.
 *> \endverbatim
 *>
-*> \param[in] A
+*> \param[in,out] A
 *> \verbatim
 *>          A is COMPLEX*16 array, dimension (LDA,N)
 *>          The block diagonal matrix D and the multipliers used to
 *>          obtain the factor U or L as computed by ZSYTRF.
+*>          Note that A is input / output. This might be counter-intuitive,
+*>          and one may think that A is input only. A is input / output. This
+*>          is because, at the start of the subroutine, we permute A in a
+*>          "better" form and then we permute A back to its original form at
+*>          the end.
 *> \endverbatim
 *>
 *> \param[in] LDA
@@ -101,7 +106,7 @@
 *>
 *> \param[out] WORK
 *> \verbatim
-*>          WORK is REAL array, dimension (N)
+*>          WORK is COMPLEX*16 array, dimension (N)
 *> \endverbatim
 *>
 *> \param[out] INFO
@@ -114,23 +119,20 @@
 *  Authors:
 *  ========
 *
-*> \author Univ. of Tennessee 
-*> \author Univ. of California Berkeley 
-*> \author Univ. of Colorado Denver 
-*> \author NAG Ltd. 
-*
-*> \date November 2011
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
 *
 *> \ingroup complex16SYcomputational
 *
 *  =====================================================================
-      SUBROUTINE ZSYTRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, 
+      SUBROUTINE ZSYTRS2( UPLO, N, NRHS, A, LDA, IPIV, B, LDB,
      $                    WORK, INFO )
 *
-*  -- LAPACK computational routine (version 3.4.0) --
+*  -- LAPACK computational routine --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-*     November 2011
 *
 *     .. Scalar Arguments ..
       CHARACTER          UPLO
@@ -195,7 +197,7 @@
 *
 *        Solve A*X = B, where A = U*D*U**T.
 *
-*       P**T * B  
+*       P**T * B
         K=N
         DO WHILE ( K .GE. 1 )
          IF( IPIV( K ).GT.0 ) THEN
@@ -220,7 +222,7 @@
         CALL ZTRSM('L','U','N','U',N,NRHS,ONE,A,LDA,B,LDB)
 *
 *  Compute D \ B -> B   [ D \ (U \P**T * B) ]
-*       
+*
          I=N
          DO WHILE ( I .GE. 1 )
             IF( IPIV(I) .GT. 0 ) THEN
@@ -272,7 +274,7 @@
 *
 *        Solve A*X = B, where A = L*D*L**T.
 *
-*       P**T * B  
+*       P**T * B
         K=1
         DO WHILE ( K .LE. N )
          IF( IPIV( K ).GT.0 ) THEN
@@ -297,7 +299,7 @@
         CALL ZTRSM('L','L','N','U',N,NRHS,ONE,A,LDA,B,LDB)
 *
 *  Compute D \ B -> B   [ D \ (L \P**T * B) ]
-*       
+*
          I=1
          DO WHILE ( I .LE. N )
             IF( IPIV(I) .GT. 0 ) THEN
@@ -319,7 +321,7 @@
          END DO
 *
 *  Compute (L**T \ B) -> B   [ L**T \ (D \ (L \P**T * B) ) ]
-* 
+*
         CALL ZTRSM('L','L','T','U',N,NRHS,ONE,A,LDA,B,LDB)
 *
 *       P * B  [ P * (L**T \ (D \ (L \P**T * B) )) ]