--- rpl/lapack/lapack/dpbstf.f 2010/12/21 13:53:35 1.7
+++ rpl/lapack/lapack/dpbstf.f 2011/11/21 20:43:01 1.8
@@ -1,9 +1,161 @@
+*> \brief \b DPBSTF
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DPBSTF + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DPBSTF( UPLO, N, KD, AB, LDAB, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER INFO, KD, LDAB, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION AB( LDAB, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DPBSTF computes a split Cholesky factorization of a real
+*> symmetric positive definite band matrix A.
+*>
+*> This routine is designed to be used in conjunction with DSBGST.
+*>
+*> The factorization has the form A = S**T*S where S is a band matrix
+*> of the same bandwidth as A and the following structure:
+*>
+*> S = ( U )
+*> ( M L )
+*>
+*> where U is upper triangular of order m = (n+kd)/2, and L is lower
+*> triangular of order n-m.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \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 matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] KD
+*> \verbatim
+*> KD is INTEGER
+*> The number of superdiagonals of the matrix A if UPLO = 'U',
+*> or the number of subdiagonals if UPLO = 'L'. KD >= 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 kd+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(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
+*> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd).
+*>
+*> On exit, if INFO = 0, the factor S from the split Cholesky
+*> factorization A = S**T*S. See Further Details.
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*> LDAB is INTEGER
+*> The leading dimension of the array AB. LDAB >= KD+1.
+*> \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, the factorization could not be completed,
+*> because the updated element a(i,i) was negative; the
+*> matrix A is not positive definite.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup doubleOTHERcomputational
+*
+*> \par Further Details:
+* =====================
+*>
+*> \verbatim
+*>
+*> The band storage scheme is illustrated by the following example, when
+*> N = 7, KD = 2:
+*>
+*> S = ( s11 s12 s13 )
+*> ( s22 s23 s24 )
+*> ( s33 s34 )
+*> ( s44 )
+*> ( s53 s54 s55 )
+*> ( s64 s65 s66 )
+*> ( s75 s76 s77 )
+*>
+*> If UPLO = 'U', the array AB holds:
+*>
+*> on entry: on exit:
+*>
+*> * * a13 a24 a35 a46 a57 * * s13 s24 s53 s64 s75
+*> * a12 a23 a34 a45 a56 a67 * s12 s23 s34 s54 s65 s76
+*> a11 a22 a33 a44 a55 a66 a77 s11 s22 s33 s44 s55 s66 s77
+*>
+*> If UPLO = 'L', the array AB holds:
+*>
+*> on entry: on exit:
+*>
+*> a11 a22 a33 a44 a55 a66 a77 s11 s22 s33 s44 s55 s66 s77
+*> a21 a32 a43 a54 a65 a76 * s12 s23 s34 s54 s65 s76 *
+*> a31 a42 a53 a64 a64 * * s13 s24 s53 s64 s75 * *
+*>
+*> Array elements marked * are not used by the routine.
+*> \endverbatim
+*>
+* =====================================================================
SUBROUTINE DPBSTF( UPLO, N, KD, AB, LDAB, 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
@@ -13,90 +165,6 @@
DOUBLE PRECISION AB( LDAB, * )
* ..
*
-* Purpose
-* =======
-*
-* DPBSTF computes a split Cholesky factorization of a real
-* symmetric positive definite band matrix A.
-*
-* This routine is designed to be used in conjunction with DSBGST.
-*
-* The factorization has the form A = S**T*S where S is a band matrix
-* of the same bandwidth as A and the following structure:
-*
-* S = ( U )
-* ( M L )
-*
-* where U is upper triangular of order m = (n+kd)/2, and L is lower
-* triangular of order n-m.
-*
-* Arguments
-* =========
-*
-* 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 matrix A. N >= 0.
-*
-* KD (input) INTEGER
-* The number of superdiagonals of the matrix A if UPLO = 'U',
-* or the number of subdiagonals if UPLO = 'L'. KD >= 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 kd+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(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
-* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd).
-*
-* On exit, if INFO = 0, the factor S from the split Cholesky
-* factorization A = S**T*S. See Further Details.
-*
-* LDAB (input) INTEGER
-* The leading dimension of the array AB. LDAB >= KD+1.
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-* > 0: if INFO = i, the factorization could not be completed,
-* because the updated element a(i,i) was negative; the
-* matrix A is not positive definite.
-*
-* Further Details
-* ===============
-*
-* The band storage scheme is illustrated by the following example, when
-* N = 7, KD = 2:
-*
-* S = ( s11 s12 s13 )
-* ( s22 s23 s24 )
-* ( s33 s34 )
-* ( s44 )
-* ( s53 s54 s55 )
-* ( s64 s65 s66 )
-* ( s75 s76 s77 )
-*
-* If UPLO = 'U', the array AB holds:
-*
-* on entry: on exit:
-*
-* * * a13 a24 a35 a46 a57 * * s13 s24 s53 s64 s75
-* * a12 a23 a34 a45 a56 a67 * s12 s23 s34 s54 s65 s76
-* a11 a22 a33 a44 a55 a66 a77 s11 s22 s33 s44 s55 s66 s77
-*
-* If UPLO = 'L', the array AB holds:
-*
-* on entry: on exit:
-*
-* a11 a22 a33 a44 a55 a66 a77 s11 s22 s33 s44 s55 s66 s77
-* a21 a32 a43 a54 a65 a76 * s12 s23 s34 s54 s65 s76 *
-* a31 a42 a53 a64 a64 * * s13 s24 s53 s64 s75 * *
-*
-* Array elements marked * are not used by the routine.
-*
* =====================================================================
*
* .. Parameters ..