--- rpl/lapack/lapack/zspr.f 2010/08/06 15:29:01 1.3
+++ rpl/lapack/lapack/zspr.f 2011/11/21 20:43:20 1.9
@@ -1,9 +1,141 @@
+*> \brief \b ZSPR
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZSPR + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZSPR( UPLO, N, ALPHA, X, INCX, AP )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER INCX, N
+* COMPLEX*16 ALPHA
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 AP( * ), X( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZSPR 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, supplied in packed form.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> On entry, UPLO specifies whether the upper or lower
+*> triangular part of the matrix A is supplied in the packed
+*> array AP as follows:
+*>
+*> UPLO = 'U' or 'u' The upper triangular part of A is
+*> supplied in AP.
+*>
+*> UPLO = 'L' or 'l' The lower triangular part of A is
+*> supplied in AP.
+*>
+*> 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] AP
+*> \verbatim
+*> AP is COMPLEX*16 array, dimension at least
+*> ( ( N*( N + 1 ) )/2 ).
+*> Before entry, with UPLO = 'U' or 'u', the array AP must
+*> contain the upper triangular part of the symmetric matrix
+*> packed sequentially, column by column, so that AP( 1 )
+*> contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
+*> and a( 2, 2 ) respectively, and so on. On exit, the array
+*> AP is overwritten by the upper triangular part of the
+*> updated matrix.
+*> Before entry, with UPLO = 'L' or 'l', the array AP must
+*> contain the lower triangular part of the symmetric matrix
+*> packed sequentially, column by column, so that AP( 1 )
+*> contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
+*> and a( 3, 1 ) respectively, and so on. On exit, the array
+*> AP is overwritten by the lower triangular part of the
+*> updated matrix.
+*> Note that the imaginary parts of the diagonal elements need
+*> not be set, they are assumed to be zero, and on exit they
+*> are set to zero.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup complex16OTHERauxiliary
+*
+* =====================================================================
SUBROUTINE ZSPR( UPLO, N, ALPHA, X, INCX, AP )
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK auxiliary routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER UPLO
@@ -14,72 +146,6 @@
COMPLEX*16 AP( * ), X( * )
* ..
*
-* Purpose
-* =======
-*
-* ZSPR performs the symmetric rank 1 operation
-*
-* A := alpha*x*conjg( x' ) + A,
-*
-* where alpha is a complex scalar, x is an n element vector and A is an
-* n by n symmetric matrix, supplied in packed form.
-*
-* Arguments
-* ==========
-*
-* UPLO (input) CHARACTER*1
-* On entry, UPLO specifies whether the upper or lower
-* triangular part of the matrix A is supplied in the packed
-* array AP as follows:
-*
-* UPLO = 'U' or 'u' The upper triangular part of A is
-* supplied in AP.
-*
-* UPLO = 'L' or 'l' The lower triangular part of A is
-* supplied in AP.
-*
-* 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.
-*
-* AP (input/output) COMPLEX*16 array, dimension at least
-* ( ( N*( N + 1 ) )/2 ).
-* Before entry, with UPLO = 'U' or 'u', the array AP must
-* contain the upper triangular part of the symmetric matrix
-* packed sequentially, column by column, so that AP( 1 )
-* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
-* and a( 2, 2 ) respectively, and so on. On exit, the array
-* AP is overwritten by the upper triangular part of the
-* updated matrix.
-* Before entry, with UPLO = 'L' or 'l', the array AP must
-* contain the lower triangular part of the symmetric matrix
-* packed sequentially, column by column, so that AP( 1 )
-* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
-* and a( 3, 1 ) respectively, and so on. On exit, the array
-* AP is overwritten by the lower triangular part of the
-* updated matrix.
-* Note that the imaginary parts of the diagonal elements need
-* not be set, they are assumed to be zero, and on exit they
-* are set to zero.
-*
* =====================================================================
*
* .. Parameters ..