--- rpl/lapack/lapack/zsyr.f 2010/04/21 13:45:39 1.2
+++ rpl/lapack/lapack/zsyr.f 2018/05/29 07:18:36 1.18
@@ -1,9 +1,144 @@
+*> \brief \b ZSYR performs the symmetric rank-1 update of a complex symmetric matrix.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZSYR + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZSYR( UPLO, N, ALPHA, X, INCX, A, LDA )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER INCX, LDA, N
+* COMPLEX*16 ALPHA
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 A( LDA, * ), X( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZSYR performs the symmetric rank 1 operation
+*>
+*> A := alpha*x*x**H + A,
+*>
+*> where alpha is a complex scalar, x is an n element vector and A is an
+*> n by n symmetric matrix.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> On entry, UPLO specifies whether the upper or lower
+*> triangular part of the array A is to be referenced as
+*> follows:
+*>
+*> UPLO = 'U' or 'u' Only the upper triangular part of A
+*> is to be referenced.
+*>
+*> UPLO = 'L' or 'l' Only the lower triangular part of A
+*> is to be referenced.
+*>
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> On entry, N specifies the order of the matrix A.
+*> N must be at least zero.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] ALPHA
+*> \verbatim
+*> ALPHA is COMPLEX*16
+*> On entry, ALPHA specifies the scalar alpha.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] X
+*> \verbatim
+*> X is COMPLEX*16 array, dimension at least
+*> ( 1 + ( N - 1 )*abs( INCX ) ).
+*> Before entry, the incremented array X must contain the N-
+*> element vector x.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> On entry, INCX specifies the increment for the elements of
+*> X. INCX must not be zero.
+*> Unchanged on exit.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*> A is COMPLEX*16 array, dimension ( LDA, N )
+*> Before entry, with UPLO = 'U' or 'u', the leading n by n
+*> upper triangular part of the array A must contain the upper
+*> triangular part of the symmetric matrix and the strictly
+*> lower triangular part of A is not referenced. On exit, the
+*> upper triangular part of the array A is overwritten by the
+*> upper triangular part of the updated matrix.
+*> Before entry, with UPLO = 'L' or 'l', the leading n by n
+*> lower triangular part of the array A must contain the lower
+*> triangular part of the symmetric matrix and the strictly
+*> upper triangular part of A is not referenced. On exit, the
+*> lower triangular part of the array A is overwritten by the
+*> lower triangular part of the updated matrix.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> On entry, LDA specifies the first dimension of A as declared
+*> in the calling (sub) program. LDA must be at least
+*> max( 1, N ).
+*> Unchanged on exit.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date December 2016
+*
+*> \ingroup complex16SYauxiliary
+*
+* =====================================================================
SUBROUTINE ZSYR( UPLO, N, ALPHA, X, INCX, A, LDA )
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK auxiliary 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 2006
+* December 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
@@ -14,72 +149,6 @@
COMPLEX*16 A( LDA, * ), X( * )
* ..
*
-* Purpose
-* =======
-*
-* ZSYR performs the symmetric rank 1 operation
-*
-* A := alpha*x*( x' ) + A,
-*
-* where alpha is a complex scalar, x is an n element vector and A is an
-* n by n symmetric matrix.
-*
-* Arguments
-* ==========
-*
-* UPLO (input) CHARACTER*1
-* On entry, UPLO specifies whether the upper or lower
-* triangular part of the array A is to be referenced as
-* follows:
-*
-* UPLO = 'U' or 'u' Only the upper triangular part of A
-* is to be referenced.
-*
-* UPLO = 'L' or 'l' Only the lower triangular part of A
-* is to be referenced.
-*
-* Unchanged on exit.
-*
-* N (input) INTEGER
-* On entry, N specifies the order of the matrix A.
-* N must be at least zero.
-* Unchanged on exit.
-*
-* ALPHA (input) COMPLEX*16
-* On entry, ALPHA specifies the scalar alpha.
-* Unchanged on exit.
-*
-* X (input) COMPLEX*16 array, dimension at least
-* ( 1 + ( N - 1 )*abs( INCX ) ).
-* Before entry, the incremented array X must contain the N-
-* element vector x.
-* Unchanged on exit.
-*
-* INCX (input) INTEGER
-* On entry, INCX specifies the increment for the elements of
-* X. INCX must not be zero.
-* Unchanged on exit.
-*
-* A (input/output) COMPLEX*16 array, dimension ( LDA, N )
-* Before entry, with UPLO = 'U' or 'u', the leading n by n
-* upper triangular part of the array A must contain the upper
-* triangular part of the symmetric matrix and the strictly
-* lower triangular part of A is not referenced. On exit, the
-* upper triangular part of the array A is overwritten by the
-* upper triangular part of the updated matrix.
-* Before entry, with UPLO = 'L' or 'l', the leading n by n
-* lower triangular part of the array A must contain the lower
-* triangular part of the symmetric matrix and the strictly
-* upper triangular part of A is not referenced. On exit, the
-* lower triangular part of the array A is overwritten by the
-* lower triangular part of the updated matrix.
-*
-* LDA (input) INTEGER
-* On entry, LDA specifies the first dimension of A as declared
-* in the calling (sub) program. LDA must be at least
-* max( 1, N ).
-* Unchanged on exit.
-*
* =====================================================================
*
* .. Parameters ..