--- rpl/lapack/lapack/dtpcon.f 2010/08/13 21:04:00 1.6
+++ rpl/lapack/lapack/dtpcon.f 2023/08/07 08:39:12 1.18
@@ -1,12 +1,136 @@
+*> \brief \b DTPCON
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DTPCON + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK, IWORK,
+* INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER DIAG, NORM, UPLO
+* INTEGER INFO, N
+* DOUBLE PRECISION RCOND
+* ..
+* .. Array Arguments ..
+* INTEGER IWORK( * )
+* DOUBLE PRECISION AP( * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DTPCON estimates the reciprocal of the condition number of a packed
+*> triangular matrix A, in either the 1-norm or the infinity-norm.
+*>
+*> The norm of A is computed and an estimate is obtained for
+*> norm(inv(A)), then the reciprocal of the condition number is
+*> computed as
+*> RCOND = 1 / ( norm(A) * norm(inv(A)) ).
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] NORM
+*> \verbatim
+*> NORM is CHARACTER*1
+*> Specifies whether the 1-norm condition number or the
+*> infinity-norm condition number is required:
+*> = '1' or 'O': 1-norm;
+*> = 'I': Infinity-norm.
+*> \endverbatim
+*>
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': A is upper triangular;
+*> = 'L': A is lower triangular.
+*> \endverbatim
+*>
+*> \param[in] DIAG
+*> \verbatim
+*> DIAG is CHARACTER*1
+*> = 'N': A is non-unit triangular;
+*> = 'U': A is unit triangular.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] AP
+*> \verbatim
+*> AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
+*> The upper or lower triangular matrix A, packed columnwise in
+*> a linear array. The j-th column of A is stored in the array
+*> AP as follows:
+*> if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
+*> if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
+*> If DIAG = 'U', the diagonal elements of A are not referenced
+*> and are assumed to be 1.
+*> \endverbatim
+*>
+*> \param[out] RCOND
+*> \verbatim
+*> RCOND is DOUBLE PRECISION
+*> The reciprocal of the condition number of the matrix A,
+*> computed as RCOND = 1/(norm(A) * norm(inv(A))).
+*> \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 DTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK, IWORK,
$ INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational routine --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
-*
-* Modified to call DLACN2 in place of DLACON, 5 Feb 03, SJH.
*
* .. Scalar Arguments ..
CHARACTER DIAG, NORM, UPLO
@@ -18,58 +142,6 @@
DOUBLE PRECISION AP( * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* DTPCON estimates the reciprocal of the condition number of a packed
-* triangular matrix A, in either the 1-norm or the infinity-norm.
-*
-* The norm of A is computed and an estimate is obtained for
-* norm(inv(A)), then the reciprocal of the condition number is
-* computed as
-* RCOND = 1 / ( norm(A) * norm(inv(A)) ).
-*
-* Arguments
-* =========
-*
-* NORM (input) CHARACTER*1
-* Specifies whether the 1-norm condition number or the
-* infinity-norm condition number is required:
-* = '1' or 'O': 1-norm;
-* = 'I': Infinity-norm.
-*
-* UPLO (input) CHARACTER*1
-* = 'U': A is upper triangular;
-* = 'L': A is lower triangular.
-*
-* DIAG (input) CHARACTER*1
-* = 'N': A is non-unit triangular;
-* = 'U': A is unit triangular.
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
-*
-* AP (input) DOUBLE PRECISION array, dimension (N*(N+1)/2)
-* The upper or lower triangular matrix A, packed columnwise in
-* a linear array. The j-th column of A is stored in the array
-* AP as follows:
-* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
-* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
-* If DIAG = 'U', the diagonal elements of A are not referenced
-* and are assumed to be 1.
-*
-* RCOND (output) DOUBLE PRECISION
-* The reciprocal of the condition number of the matrix A,
-* computed as RCOND = 1/(norm(A) * norm(inv(A))).
-*
-* 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 ..
@@ -159,7 +231,7 @@
$ WORK, SCALE, WORK( 2*N+1 ), INFO )
ELSE
*
-* Multiply by inv(A').
+* Multiply by inv(A**T).
*
CALL DLATPS( UPLO, 'Transpose', DIAG, NORMIN, N, AP,
$ WORK, SCALE, WORK( 2*N+1 ), INFO )