--- rpl/lapack/lapack/dsbgst.f 2010/12/21 13:53:37 1.7
+++ rpl/lapack/lapack/dsbgst.f 2011/11/21 20:43:03 1.8
@@ -1,10 +1,168 @@
+*> \brief \b DSBGST
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DSBGST + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DSBGST( VECT, UPLO, N, KA, KB, AB, LDAB, BB, LDBB, X,
+* LDX, WORK, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO, VECT
+* INTEGER INFO, KA, KB, LDAB, LDBB, LDX, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION AB( LDAB, * ), BB( LDBB, * ), WORK( * ),
+* $ X( LDX, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DSBGST reduces a real symmetric-definite banded generalized
+*> eigenproblem A*x = lambda*B*x to standard form C*y = lambda*y,
+*> such that C has the same bandwidth as A.
+*>
+*> B must have been previously factorized as S**T*S by DPBSTF, using a
+*> split Cholesky factorization. A is overwritten by C = X**T*A*X, where
+*> X = S**(-1)*Q and Q is an orthogonal matrix chosen to preserve the
+*> bandwidth of A.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] VECT
+*> \verbatim
+*> VECT is CHARACTER*1
+*> = 'N': do not form the transformation matrix X;
+*> = 'V': form X.
+*> \endverbatim
+*>
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': Upper triangle of A is stored;
+*> = 'L': Lower triangle of A is stored.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrices A and B. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] KA
+*> \verbatim
+*> KA is INTEGER
+*> The number of superdiagonals of the matrix A if UPLO = 'U',
+*> or the number of subdiagonals if UPLO = 'L'. KA >= 0.
+*> \endverbatim
+*>
+*> \param[in] KB
+*> \verbatim
+*> KB is INTEGER
+*> The number of superdiagonals of the matrix B if UPLO = 'U',
+*> or the number of subdiagonals if UPLO = 'L'. KA >= KB >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] AB
+*> \verbatim
+*> AB is DOUBLE PRECISION array, dimension (LDAB,N)
+*> On entry, the upper or lower triangle of the symmetric band
+*> matrix A, stored in the first ka+1 rows of the array. The
+*> j-th column of A is stored in the j-th column of the array AB
+*> as follows:
+*> if UPLO = 'U', AB(ka+1+i-j,j) = A(i,j) for max(1,j-ka)<=i<=j;
+*> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+ka).
+*>
+*> On exit, the transformed matrix X**T*A*X, stored in the same
+*> format as A.
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*> LDAB is INTEGER
+*> The leading dimension of the array AB. LDAB >= KA+1.
+*> \endverbatim
+*>
+*> \param[in] BB
+*> \verbatim
+*> BB is DOUBLE PRECISION array, dimension (LDBB,N)
+*> The banded factor S from the split Cholesky factorization of
+*> B, as returned by DPBSTF, stored in the first KB+1 rows of
+*> the array.
+*> \endverbatim
+*>
+*> \param[in] LDBB
+*> \verbatim
+*> LDBB is INTEGER
+*> The leading dimension of the array BB. LDBB >= KB+1.
+*> \endverbatim
+*>
+*> \param[out] X
+*> \verbatim
+*> X is DOUBLE PRECISION array, dimension (LDX,N)
+*> If VECT = 'V', the n-by-n matrix X.
+*> If VECT = 'N', the array X is not referenced.
+*> \endverbatim
+*>
+*> \param[in] LDX
+*> \verbatim
+*> LDX is INTEGER
+*> The leading dimension of the array X.
+*> LDX >= max(1,N) if VECT = 'V'; LDX >= 1 otherwise.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (2*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 doubleOTHERcomputational
+*
+* =====================================================================
SUBROUTINE DSBGST( VECT, UPLO, N, KA, KB, AB, LDAB, BB, LDBB, X,
$ LDX, WORK, 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, VECT
@@ -15,76 +173,6 @@
$ X( LDX, * )
* ..
*
-* Purpose
-* =======
-*
-* DSBGST reduces a real symmetric-definite banded generalized
-* eigenproblem A*x = lambda*B*x to standard form C*y = lambda*y,
-* such that C has the same bandwidth as A.
-*
-* B must have been previously factorized as S**T*S by DPBSTF, using a
-* split Cholesky factorization. A is overwritten by C = X**T*A*X, where
-* X = S**(-1)*Q and Q is an orthogonal matrix chosen to preserve the
-* bandwidth of A.
-*
-* Arguments
-* =========
-*
-* VECT (input) CHARACTER*1
-* = 'N': do not form the transformation matrix X;
-* = 'V': form X.
-*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangle of A is stored;
-* = 'L': Lower triangle of A is stored.
-*
-* N (input) INTEGER
-* The order of the matrices A and B. N >= 0.
-*
-* KA (input) INTEGER
-* The number of superdiagonals of the matrix A if UPLO = 'U',
-* or the number of subdiagonals if UPLO = 'L'. KA >= 0.
-*
-* KB (input) INTEGER
-* The number of superdiagonals of the matrix B if UPLO = 'U',
-* or the number of subdiagonals if UPLO = 'L'. KA >= KB >= 0.
-*
-* AB (input/output) DOUBLE PRECISION array, dimension (LDAB,N)
-* On entry, the upper or lower triangle of the symmetric band
-* matrix A, stored in the first ka+1 rows of the array. The
-* j-th column of A is stored in the j-th column of the array AB
-* as follows:
-* if UPLO = 'U', AB(ka+1+i-j,j) = A(i,j) for max(1,j-ka)<=i<=j;
-* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+ka).
-*
-* On exit, the transformed matrix X**T*A*X, stored in the same
-* format as A.
-*
-* LDAB (input) INTEGER
-* The leading dimension of the array AB. LDAB >= KA+1.
-*
-* BB (input) DOUBLE PRECISION array, dimension (LDBB,N)
-* The banded factor S from the split Cholesky factorization of
-* B, as returned by DPBSTF, stored in the first KB+1 rows of
-* the array.
-*
-* LDBB (input) INTEGER
-* The leading dimension of the array BB. LDBB >= KB+1.
-*
-* X (output) DOUBLE PRECISION array, dimension (LDX,N)
-* If VECT = 'V', the n-by-n matrix X.
-* If VECT = 'N', the array X is not referenced.
-*
-* LDX (input) INTEGER
-* The leading dimension of the array X.
-* LDX >= max(1,N) if VECT = 'V'; LDX >= 1 otherwise.
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (2*N)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value.
-*
* =====================================================================
*
* .. Parameters ..