--- rpl/lapack/lapack/dpbcon.f 2011/07/22 07:38:09 1.8
+++ rpl/lapack/lapack/dpbcon.f 2023/08/07 08:39:03 1.18
@@ -1,12 +1,138 @@
+*> \brief \b DPBCON
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DPBCON + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DPBCON( UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK,
+* IWORK, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER UPLO
+* INTEGER INFO, KD, LDAB, N
+* DOUBLE PRECISION ANORM, RCOND
+* ..
+* .. Array Arguments ..
+* INTEGER IWORK( * )
+* DOUBLE PRECISION AB( LDAB, * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DPBCON estimates the reciprocal of the condition number (in the
+*> 1-norm) of a real symmetric positive definite band matrix using the
+*> Cholesky factorization A = U**T*U or A = L*L**T computed by DPBTRF.
+*>
+*> An estimate is obtained for norm(inv(A)), and the reciprocal of the
+*> condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': Upper triangular factor stored in AB;
+*> = 'L': Lower triangular factor stored in AB.
+*> \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] AB
+*> \verbatim
+*> AB is DOUBLE PRECISION array, dimension (LDAB,N)
+*> The triangular factor U or L from the Cholesky factorization
+*> A = U**T*U or A = L*L**T of the band matrix A, stored in the
+*> first KD+1 rows of the array. The j-th column of U or L is
+*> stored in the j-th column of the array AB as follows:
+*> if UPLO ='U', AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j;
+*> if UPLO ='L', AB(1+i-j,j) = L(i,j) for j<=i<=min(n,j+kd).
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*> LDAB is INTEGER
+*> The leading dimension of the array AB. LDAB >= KD+1.
+*> \endverbatim
+*>
+*> \param[in] ANORM
+*> \verbatim
+*> ANORM is DOUBLE PRECISION
+*> The 1-norm (or infinity-norm) of the symmetric band matrix A.
+*> \endverbatim
+*>
+*> \param[out] RCOND
+*> \verbatim
+*> RCOND is DOUBLE PRECISION
+*> The reciprocal of the condition number of the matrix A,
+*> computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
+*> estimate of the 1-norm of inv(A) computed in this routine.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (3*N)
+*> \endverbatim
+*>
+*> \param[out] IWORK
+*> \verbatim
+*> IWORK is INTEGER array, dimension (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.
+*
+*> \ingroup doubleOTHERcomputational
+*
+* =====================================================================
SUBROUTINE DPBCON( UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK,
$ IWORK, INFO )
*
-* -- LAPACK routine (version 3.3.1) --
+* -- LAPACK computational routine --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* -- April 2011 --
-*
-* Modified to call DLACN2 in place of DLACON, 5 Feb 03, SJH.
*
* .. Scalar Arguments ..
CHARACTER UPLO
@@ -18,57 +144,6 @@
DOUBLE PRECISION AB( LDAB, * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* DPBCON estimates the reciprocal of the condition number (in the
-* 1-norm) of a real symmetric positive definite band matrix using the
-* Cholesky factorization A = U**T*U or A = L*L**T computed by DPBTRF.
-*
-* An estimate is obtained for norm(inv(A)), and the reciprocal of the
-* condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangular factor stored in AB;
-* = 'L': Lower triangular factor stored in AB.
-*
-* 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) DOUBLE PRECISION array, dimension (LDAB,N)
-* The triangular factor U or L from the Cholesky factorization
-* A = U**T*U or A = L*L**T of the band matrix A, stored in the
-* first KD+1 rows of the array. The j-th column of U or L is
-* stored in the j-th column of the array AB as follows:
-* if UPLO ='U', AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j;
-* if UPLO ='L', AB(1+i-j,j) = L(i,j) for j<=i<=min(n,j+kd).
-*
-* LDAB (input) INTEGER
-* The leading dimension of the array AB. LDAB >= KD+1.
-*
-* ANORM (input) DOUBLE PRECISION
-* The 1-norm (or infinity-norm) of the symmetric band matrix A.
-*
-* RCOND (output) DOUBLE PRECISION
-* The reciprocal of the condition number of the matrix A,
-* computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
-* estimate of the 1-norm of inv(A) computed in this routine.
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (3*N)
-*
-* IWORK (workspace) INTEGER array, dimension (N)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
* =====================================================================
*
* .. Parameters ..