--- rpl/lapack/lapack/zsytri2.f	2010/12/21 13:53:56	1.2
+++ rpl/lapack/lapack/zsytri2.f	2023/08/07 08:39:39	1.17
@@ -1,11 +1,133 @@
+*> \brief \b ZSYTRI2
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+*            http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZSYTRI2 + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsytri2.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsytri2.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsytri2.f">
+*> [TXT]</a>
+*> \endhtmlonly
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZSYTRI2( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO )
+*
+*       .. Scalar Arguments ..
+*       CHARACTER          UPLO
+*       INTEGER            INFO, LDA, LWORK, N
+*       ..
+*       .. Array Arguments ..
+*       INTEGER            IPIV( * )
+*       COMPLEX*16         A( LDA, * ), WORK( * )
+*       ..
+*
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZSYTRI2 computes the inverse of a COMPLEX*16 symmetric indefinite matrix
+*> A using the factorization A = U*D*U**T or A = L*D*L**T computed by
+*> ZSYTRF. ZSYTRI2 sets the LEADING DIMENSION of the workspace
+*> before calling ZSYTRI2X that actually computes the inverse.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*>          UPLO is CHARACTER*1
+*>          Specifies whether the details of the factorization are stored
+*>          as an upper or lower triangular matrix.
+*>          = 'U':  Upper triangular, form is A = U*D*U**T;
+*>          = 'L':  Lower triangular, form is A = L*D*L**T.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The order of the matrix A.  N >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*>          A is COMPLEX*16 array, dimension (LDA,N)
+*>          On entry, the block diagonal matrix D and the multipliers
+*>          used to obtain the factor U or L as computed by ZSYTRF.
+*>
+*>          On exit, if INFO = 0, the (symmetric) inverse of the original
+*>          matrix.  If UPLO = 'U', the upper triangular part of the
+*>          inverse is formed and the part of A below the diagonal is not
+*>          referenced; if UPLO = 'L' the lower triangular part of the
+*>          inverse is formed and the part of A above the diagonal is
+*>          not referenced.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*>          LDA is INTEGER
+*>          The leading dimension of the array A.  LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] IPIV
+*> \verbatim
+*>          IPIV is INTEGER array, dimension (N)
+*>          Details of the interchanges and the block structure of D
+*>          as determined by ZSYTRF.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*>          WORK is COMPLEX*16 array, dimension (N+NB+1)*(NB+3)
+*> \endverbatim
+*>
+*> \param[in] LWORK
+*> \verbatim
+*>          LWORK is INTEGER
+*>          The dimension of the array WORK.
+*>          WORK is size >= (N+NB+1)*(NB+3)
+*>          If LDWORK = -1, then a workspace query is assumed; the routine
+*>           calculates:
+*>              - the optimal size of the WORK array, returns
+*>          this value as the first entry of the WORK array,
+*>              - and no error message related to LDWORK is issued by XERBLA.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*>          INFO is INTEGER
+*>          = 0: successful exit
+*>          < 0: if INFO = -i, the i-th argument had an illegal value
+*>          > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its
+*>               inverse could not be computed.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \ingroup complex16SYcomputational
+*
+*  =====================================================================
       SUBROUTINE ZSYTRI2( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO )
 *
-*  -- LAPACK routine (version 3.3.0) --
+*  -- 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 2010
-*
-*  -- Written by Julie Langou of the Univ. of TN    --
 *
 *     .. Scalar Arguments ..
       CHARACTER          UPLO
@@ -13,64 +135,9 @@
 *     ..
 *     .. Array Arguments ..
       INTEGER            IPIV( * )
-      DOUBLE COMPLEX     A( LDA, * ), WORK( * )
+      COMPLEX*16         A( LDA, * ), WORK( * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  ZSYTRI2 computes the inverse of a complex symmetric indefinite matrix
-*  A using the factorization A = U*D*U**T or A = L*D*L**T computed by
-*  ZSYTRF. ZSYTRI2 sets the LEADING DIMENSION of the workspace
-*  before calling ZSYTRI2X that actually computes the inverse.
-*
-*  Arguments
-*  =========
-*
-*  UPLO    (input) CHARACTER*1
-*          Specifies whether the details of the factorization are stored
-*          as an upper or lower triangular matrix.
-*          = 'U':  Upper triangular, form is A = U*D*U**T;
-*          = 'L':  Lower triangular, form is A = L*D*L**T.
-*
-*  N       (input) INTEGER
-*          The order of the matrix A.  N >= 0.
-*
-*  A       (input/output) DOUBLE COMPLEX array, dimension (LDA,N)
-*          On entry, the NB diagonal matrix D and the multipliers
-*          used to obtain the factor U or L as computed by ZSYTRF.
-*
-*          On exit, if INFO = 0, the (symmetric) inverse of the original
-*          matrix.  If UPLO = 'U', the upper triangular part of the
-*          inverse is formed and the part of A below the diagonal is not
-*          referenced; if UPLO = 'L' the lower triangular part of the
-*          inverse is formed and the part of A above the diagonal is
-*          not referenced.
-*
-*  LDA     (input) INTEGER
-*          The leading dimension of the array A.  LDA >= max(1,N).
-*
-*  IPIV    (input) INTEGER array, dimension (N)
-*          Details of the interchanges and the NB structure of D
-*          as determined by ZSYTRF.
-*
-*  WORK    (workspace) DOUBLE COMPLEX array, dimension (N+NB+1)*(NB+3)
-*
-*  LWORK   (input) INTEGER
-*          The dimension of the array WORK.
-*          WORK is size >= (N+NB+1)*(NB+3)
-*          If LDWORK = -1, then a workspace query is assumed; the routine
-*           calculates:
-*              - the optimal size of the WORK array, returns
-*          this value as the first entry of the WORK array,
-*              - and no error message related to LDWORK is issued by XERBLA.
-*
-*  INFO    (output) INTEGER
-*          = 0: successful exit
-*          < 0: if INFO = -i, the i-th argument had an illegal value
-*          > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its
-*               inverse could not be computed.
-*
 *  =====================================================================
 *
 *     .. Local Scalars ..
@@ -83,7 +150,7 @@
       EXTERNAL           LSAME, ILAENV
 *     ..
 *     .. External Subroutines ..
-      EXTERNAL           ZSYTRI2X
+      EXTERNAL           ZSYTRI, ZSYTRI2X, XERBLA
 *     ..
 *     .. Executable Statements ..
 *
@@ -93,8 +160,12 @@
       UPPER = LSAME( UPLO, 'U' )
       LQUERY = ( LWORK.EQ.-1 )
 *     Get blocksize
-      NBMAX = ILAENV( 1, 'ZSYTRF', UPLO, N, -1, -1, -1 )
-      MINSIZE = (N+NBMAX+1)*(NBMAX+3)
+      NBMAX = ILAENV( 1, 'ZSYTRI2', UPLO, N, -1, -1, -1 )
+      IF ( NBMAX .GE. N ) THEN
+         MINSIZE = N
+      ELSE
+         MINSIZE = (N+NBMAX+1)*(NBMAX+3)
+      END IF
 *
       IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
          INFO = -1
@@ -113,13 +184,17 @@
          CALL XERBLA( 'ZSYTRI2', -INFO )
          RETURN
       ELSE IF( LQUERY ) THEN
-         WORK(1)=(N+NBMAX+1)*(NBMAX+3)
+         WORK(1)=MINSIZE
          RETURN
       END IF
       IF( N.EQ.0 )
      $   RETURN
-      
-      CALL ZSYTRI2X( UPLO, N, A, LDA, IPIV, WORK, NBMAX, INFO )
+
+      IF( NBMAX .GE. N ) THEN
+         CALL ZSYTRI( UPLO, N, A, LDA, IPIV, WORK, INFO )
+      ELSE
+         CALL ZSYTRI2X( UPLO, N, A, LDA, IPIV, WORK, NBMAX, INFO )
+      END IF
       RETURN
 *
 *     End of ZSYTRI2