--- rpl/lapack/lapack/zhesv_aa.f	2017/06/17 11:02:54	1.1
+++ rpl/lapack/lapack/zhesv_aa.f	2023/08/07 08:39:24	1.6
@@ -42,7 +42,7 @@
 *> matrices.
 *>
 *> Aasen's algorithm is used to factor A as
-*>    A = U * T * U**H,  if UPLO = 'U', or
+*>    A = U**H * T * U,  if UPLO = 'U', or
 *>    A = L * T * L**H,  if UPLO = 'L',
 *> where U (or L) is a product of permutation and unit upper (lower)
 *> triangular matrices, and T is Hermitian and tridiagonal. The factored form
@@ -86,7 +86,7 @@
 *>
 *>          On exit, if INFO = 0, the tridiagonal matrix T and the
 *>          multipliers used to obtain the factor U or L from the
-*>          factorization A = U*T*U**H or A = L*T*L**H as computed by
+*>          factorization A = U**H*T*U or A = L*T*L**H as computed by
 *>          ZHETRF_AA.
 *> \endverbatim
 *>
@@ -129,8 +129,6 @@
 *>          The length of WORK.  LWORK >= MAX(1,2*N,3*N-2), and for best 
 *>          performance LWORK >= max(1,N*NB), where NB is the optimal
 *>          blocksize for ZHETRF.
-*>          for LWORK < N, TRS will be done with Level BLAS 2
-*>          for LWORK >= N, TRS will be done with Level BLAS 3
 *>
 *>          If LWORK = -1, then a workspace query is assumed; the routine
 *>          only calculates the optimal size of the WORK array, returns
@@ -156,18 +154,15 @@
 *> \author Univ. of Colorado Denver
 *> \author NAG Ltd.
 *
-*> \date December 2016
-*
 *> \ingroup complex16HEsolve
 *
 *  =====================================================================
       SUBROUTINE ZHESV_AA( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK,
      $                     LWORK, INFO )
 *
-*  -- LAPACK driver routine (version 3.7.0) --
+*  -- LAPACK driver routine --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-*     December 2016
 *
 *     .. Scalar Arguments ..
       CHARACTER          UPLO
@@ -190,7 +185,7 @@
       EXTERNAL           LSAME, ILAENV
 *     ..
 *     .. External Subroutines ..
-      EXTERNAL           XERBLA, ZHETRF, ZHETRS, ZHETRS2
+      EXTERNAL           XERBLA, ZHETRF_AA, ZHETRS_AA
 *     ..
 *     .. Intrinsic Functions ..
       INTRINSIC          MAX
@@ -211,6 +206,8 @@
          INFO = -5
       ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
          INFO = -8
+      ELSE IF( LWORK.LT.MAX(2*N, 3*N-2) .AND. .NOT.LQUERY ) THEN
+         INFO = -10
       END IF
 *
       IF( INFO.EQ.0 ) THEN
@@ -221,9 +218,6 @@
          LWKOPT_HETRS = INT( WORK(1) )
          LWKOPT = MAX( LWKOPT_HETRF, LWKOPT_HETRS )
          WORK( 1 ) = LWKOPT
-         IF( LWORK.LT.LWKOPT .AND. .NOT.LQUERY ) THEN
-             INFO = -10
-         END IF
       END IF
 *
       IF( INFO.NE.0 ) THEN
@@ -233,7 +227,7 @@
          RETURN
       END IF
 *
-*     Compute the factorization A = U*T*U**H or A = L*T*L**H.
+*     Compute the factorization A = U**H*T*U or A = L*T*L**H.
 *
       CALL ZHETRF_AA( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO )
       IF( INFO.EQ.0 ) THEN