--- rpl/lapack/lapack/dsygs2.f 2010/04/21 13:45:25 1.2
+++ rpl/lapack/lapack/dsygs2.f 2011/11/21 22:19:40 1.10
@@ -1,9 +1,136 @@
+*> \brief \b DSYGS2
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DSYGS2 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DSYGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER INFO, ITYPE, LDA, LDB, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION A( LDA, * ), B( LDB, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DSYGS2 reduces a real symmetric-definite generalized eigenproblem
+*> to standard form.
+*>
+*> If ITYPE = 1, the problem is A*x = lambda*B*x,
+*> and A is overwritten by inv(U**T)*A*inv(U) or inv(L)*A*inv(L**T)
+*>
+*> If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or
+*> B*A*x = lambda*x, and A is overwritten by U*A*U**T or L**T *A*L.
+*>
+*> B must have been previously factorized as U**T *U or L*L**T by DPOTRF.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] ITYPE
+*> \verbatim
+*> ITYPE is INTEGER
+*> = 1: compute inv(U**T)*A*inv(U) or inv(L)*A*inv(L**T);
+*> = 2 or 3: compute U*A*U**T or L**T *A*L.
+*> \endverbatim
+*>
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> Specifies whether the upper or lower triangular part of the
+*> symmetric matrix A is stored, and how B has been factorized.
+*> = 'U': Upper triangular
+*> = 'L': Lower triangular
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrices A and B. N >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*> A is DOUBLE PRECISION array, dimension (LDA,N)
+*> On entry, the symmetric matrix A. If UPLO = 'U', the leading
+*> n by n upper triangular part of A contains the upper
+*> triangular part of the matrix A, and the strictly lower
+*> triangular part of A is not referenced. If UPLO = 'L', the
+*> leading n by n lower triangular part of A contains the lower
+*> triangular part of the matrix A, and the strictly upper
+*> triangular part of A is not referenced.
+*>
+*> On exit, if INFO = 0, the transformed matrix, stored in the
+*> same format as A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*> B is DOUBLE PRECISION array, dimension (LDB,N)
+*> The triangular factor from the Cholesky factorization of B,
+*> as returned by DPOTRF.
+*> \endverbatim
+*>
+*> \param[in] LDB
+*> \verbatim
+*> LDB is INTEGER
+*> The leading dimension of the array B. LDB >= max(1,N).
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit.
+*> < 0: if INFO = -i, the i-th argument had an illegal value.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup doubleSYcomputational
+*
+* =====================================================================
SUBROUTINE DSYGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational 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
@@ -13,62 +140,6 @@
DOUBLE PRECISION A( LDA, * ), B( LDB, * )
* ..
*
-* Purpose
-* =======
-*
-* DSYGS2 reduces a real symmetric-definite generalized eigenproblem
-* to standard form.
-*
-* If ITYPE = 1, the problem is A*x = lambda*B*x,
-* and A is overwritten by inv(U')*A*inv(U) or inv(L)*A*inv(L')
-*
-* If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or
-* B*A*x = lambda*x, and A is overwritten by U*A*U` or L'*A*L.
-*
-* B must have been previously factorized as U'*U or L*L' by DPOTRF.
-*
-* Arguments
-* =========
-*
-* ITYPE (input) INTEGER
-* = 1: compute inv(U')*A*inv(U) or inv(L)*A*inv(L');
-* = 2 or 3: compute U*A*U' or L'*A*L.
-*
-* UPLO (input) CHARACTER*1
-* Specifies whether the upper or lower triangular part of the
-* symmetric matrix A is stored, and how B has been factorized.
-* = 'U': Upper triangular
-* = 'L': Lower triangular
-*
-* N (input) INTEGER
-* The order of the matrices A and B. N >= 0.
-*
-* A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
-* On entry, the symmetric matrix A. If UPLO = 'U', the leading
-* n by n upper triangular part of A contains the upper
-* triangular part of the matrix A, and the strictly lower
-* triangular part of A is not referenced. If UPLO = 'L', the
-* leading n by n lower triangular part of A contains the lower
-* triangular part of the matrix A, and the strictly upper
-* triangular part of A is not referenced.
-*
-* On exit, if INFO = 0, the transformed matrix, stored in the
-* same format as A.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
-*
-* B (input) DOUBLE PRECISION array, dimension (LDB,N)
-* The triangular factor from the Cholesky factorization of B,
-* as returned by DPOTRF.
-*
-* LDB (input) INTEGER
-* The leading dimension of the array B. LDB >= max(1,N).
-*
-* INFO (output) INTEGER
-* = 0: successful exit.
-* < 0: if INFO = -i, the i-th argument had an illegal value.
-*
* =====================================================================
*
* .. Parameters ..
@@ -115,7 +186,7 @@
IF( ITYPE.EQ.1 ) THEN
IF( UPPER ) THEN
*
-* Compute inv(U')*A*inv(U)
+* Compute inv(U**T)*A*inv(U)
*
DO 10 K = 1, N
*
@@ -140,7 +211,7 @@
10 CONTINUE
ELSE
*
-* Compute inv(L)*A*inv(L')
+* Compute inv(L)*A*inv(L**T)
*
DO 20 K = 1, N
*
@@ -165,7 +236,7 @@
ELSE
IF( UPPER ) THEN
*
-* Compute U*A*U'
+* Compute U*A*U**T
*
DO 30 K = 1, N
*
@@ -185,7 +256,7 @@
30 CONTINUE
ELSE
*
-* Compute L'*A*L
+* Compute L**T *A*L
*
DO 40 K = 1, N
*