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361 lines
8.8 KiB
361 lines
8.8 KiB
*> \brief \b SLATB9
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE SLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA,
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* KLB, KUB, ANORM, BNORM, MODEA, MODEB,
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* CNDNMA, CNDNMB, DISTA, DISTB )
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*
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* .. Scalar Arguments ..
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* CHARACTER DISTA, DISTB, TYPE
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* CHARACTER*3 PATH
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* INTEGER IMAT, KLA, KUA, KLB, KUB, M, P, MODEA, MODEB, N
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* REAL ANORM, BNORM, CNDNMA, CNDNMB
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> SLATB9 sets parameters for the matrix generator based on the type of
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*> matrix to be generated.
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] PATH
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*> \verbatim
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*> PATH is CHARACTER*3
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*> The LAPACK path name.
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*> \endverbatim
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*>
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*> \param[in] IMAT
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*> \verbatim
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*> IMAT is INTEGER
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*> An integer key describing which matrix to generate for this
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*> path.
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*> = 1: A: diagonal, B: upper triangular
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*> = 2: A: upper triangular, B: upper triangular
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*> = 3: A: lower triangular, B: upper triangular
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*> Else: A: general dense, B: general dense
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*> \endverbatim
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*>
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*> \param[in] M
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*> \verbatim
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*> M is INTEGER
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*> The number of rows in the matrix to be generated.
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*> \endverbatim
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*>
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*> \param[in] P
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*> \verbatim
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*> P is INTEGER
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*> \endverbatim
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*>
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*> \param[in] N
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*> \verbatim
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*> N is INTEGER
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*> The number of columns in the matrix to be generated.
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*> \endverbatim
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*>
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*> \param[out] TYPE
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*> \verbatim
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*> TYPE is CHARACTER*1
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*> The type of the matrix to be generated:
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*> = 'S': symmetric matrix;
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*> = 'P': symmetric positive (semi)definite matrix;
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*> = 'N': nonsymmetric matrix.
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*> \endverbatim
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*>
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*> \param[out] KLA
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*> \verbatim
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*> KLA is INTEGER
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*> The lower band width of the matrix to be generated.
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*> \endverbatim
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*>
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*> \param[out] KUA
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*> \verbatim
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*> KUA is INTEGER
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*> The upper band width of the matrix to be generated.
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*> \endverbatim
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*>
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*> \param[out] KLB
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*> \verbatim
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*> KLB is INTEGER
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*> The lower band width of the matrix to be generated.
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*> \endverbatim
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*>
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*> \param[out] KUB
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*> \verbatim
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*> KUA is INTEGER
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*> The upper band width of the matrix to be generated.
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*> \endverbatim
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*>
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*> \param[out] ANORM
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*> \verbatim
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*> ANORM is REAL
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*> The desired norm of the matrix to be generated. The diagonal
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*> matrix of singular values or eigenvalues is scaled by this
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*> value.
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*> \endverbatim
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*>
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*> \param[out] BNORM
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*> \verbatim
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*> BNORM is REAL
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*> The desired norm of the matrix to be generated. The diagonal
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*> matrix of singular values or eigenvalues is scaled by this
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*> value.
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*> \endverbatim
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*>
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*> \param[out] MODEA
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*> \verbatim
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*> MODEA is INTEGER
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*> A key indicating how to choose the vector of eigenvalues.
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*> \endverbatim
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*>
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*> \param[out] MODEB
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*> \verbatim
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*> MODEB is INTEGER
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*> A key indicating how to choose the vector of eigenvalues.
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*> \endverbatim
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*>
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*> \param[out] CNDNMA
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*> \verbatim
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*> CNDNMA is REAL
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*> The desired condition number.
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*> \endverbatim
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*>
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*> \param[out] CNDNMB
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*> \verbatim
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*> CNDNMB is REAL
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*> The desired condition number.
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*> \endverbatim
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*>
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*> \param[out] DISTA
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*> \verbatim
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*> DISTA is CHARACTER*1
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*> The type of distribution to be used by the random number
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*> generator.
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*> \endverbatim
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*>
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*> \param[out] DISTB
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*> \verbatim
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*> DISTB is CHARACTER*1
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*> The type of distribution to be used by the random number
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*> generator.
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \ingroup single_eig
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*
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* =====================================================================
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SUBROUTINE SLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA,
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$ KLB, KUB, ANORM, BNORM, MODEA, MODEB,
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$ CNDNMA, CNDNMB, DISTA, DISTB )
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*
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* -- LAPACK test routine --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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*
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* .. Scalar Arguments ..
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CHARACTER DISTA, DISTB, TYPE
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CHARACTER*3 PATH
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INTEGER IMAT, KLA, KUA, KLB, KUB, M, P, MODEA, MODEB, N
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REAL ANORM, BNORM, CNDNMA, CNDNMB
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* ..
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*
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* =====================================================================
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*
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* .. Parameters ..
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REAL SHRINK, TENTH
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PARAMETER ( SHRINK = 0.25E0, TENTH = 0.1E+0 )
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REAL ONE, TEN
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PARAMETER ( ONE = 1.0E+0, TEN = 1.0E+1 )
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* ..
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* .. Local Scalars ..
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LOGICAL FIRST
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REAL BADC1, BADC2, EPS, LARGE, SMALL
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* ..
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* .. External Functions ..
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LOGICAL LSAMEN
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REAL SLAMCH
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EXTERNAL LSAMEN, SLAMCH
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC MAX, SQRT
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* ..
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* .. Save statement ..
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SAVE EPS, SMALL, LARGE, BADC1, BADC2, FIRST
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* ..
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* .. Data statements ..
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DATA FIRST / .TRUE. /
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* ..
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* .. Executable Statements ..
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*
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* Set some constants for use in the subroutine.
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*
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IF( FIRST ) THEN
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FIRST = .FALSE.
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EPS = SLAMCH( 'Precision' )
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BADC2 = TENTH / EPS
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BADC1 = SQRT( BADC2 )
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SMALL = SLAMCH( 'Safe minimum' )
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LARGE = ONE / SMALL
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SMALL = SHRINK*( SMALL / EPS )
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LARGE = ONE / SMALL
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END IF
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*
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* Set some parameters we don't plan to change.
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*
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TYPE = 'N'
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DISTA = 'S'
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DISTB = 'S'
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MODEA = 3
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MODEB = 4
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*
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* Set the lower and upper bandwidths.
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*
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IF( LSAMEN( 3, PATH, 'GRQ') .OR. LSAMEN( 3, PATH, 'LSE') .OR.
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$ LSAMEN( 3, PATH, 'GSV') )THEN
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*
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* A: M by N, B: P by N
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*
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IF( IMAT.EQ.1 ) THEN
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*
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* A: diagonal, B: upper triangular
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*
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KLA = 0
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KUA = 0
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KLB = 0
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KUB = MAX( N-1,0 )
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*
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ELSE IF( IMAT.EQ.2 ) THEN
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*
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* A: upper triangular, B: upper triangular
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*
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KLA = 0
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KUA = MAX( N-1, 0 )
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KLB = 0
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KUB = MAX( N-1, 0 )
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*
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ELSE IF( IMAT.EQ.3 ) THEN
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*
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* A: lower triangular, B: upper triangular
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*
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KLA = MAX( M-1, 0 )
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KUA = 0
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KLB = 0
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KUB = MAX( N-1, 0 )
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*
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ELSE
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*
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* A: general dense, B: general dense
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*
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KLA = MAX( M-1, 0 )
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KUA = MAX( N-1, 0 )
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KLB = MAX( P-1, 0 )
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KUB = MAX( N-1, 0 )
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*
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END IF
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*
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ELSE IF( LSAMEN( 3, PATH, 'GQR' ) .OR.
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$ LSAMEN( 3, PATH, 'GLM') )THEN
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*
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* A: N by M, B: N by P
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*
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IF( IMAT.EQ.1 ) THEN
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*
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* A: diagonal, B: lower triangular
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*
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KLA = 0
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KUA = 0
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KLB = MAX( N-1,0 )
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KUB = 0
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ELSE IF( IMAT.EQ.2 ) THEN
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*
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* A: lower triangular, B: diagonal
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*
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KLA = MAX( N-1, 0 )
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KUA = 0
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KLB = 0
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KUB = 0
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*
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ELSE IF( IMAT.EQ.3 ) THEN
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*
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* A: lower triangular, B: upper triangular
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*
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KLA = MAX( N-1, 0 )
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KUA = 0
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KLB = 0
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KUB = MAX( P-1, 0 )
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*
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ELSE
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*
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* A: general dense, B: general dense
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*
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KLA = MAX( N-1, 0 )
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KUA = MAX( M-1, 0 )
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KLB = MAX( N-1, 0 )
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KUB = MAX( P-1, 0 )
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END IF
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*
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END IF
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*
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* Set the condition number and norm.
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*
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CNDNMA = TEN*TEN
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CNDNMB = TEN
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IF( LSAMEN( 3, PATH, 'GQR') .OR. LSAMEN( 3, PATH, 'GRQ') .OR.
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$ LSAMEN( 3, PATH, 'GSV') )THEN
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IF( IMAT.EQ.5 ) THEN
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CNDNMA = BADC1
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CNDNMB = BADC1
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ELSE IF( IMAT.EQ.6 ) THEN
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CNDNMA = BADC2
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CNDNMB = BADC2
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ELSE IF( IMAT.EQ.7 ) THEN
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CNDNMA = BADC1
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CNDNMB = BADC2
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ELSE IF( IMAT.EQ.8 ) THEN
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CNDNMA = BADC2
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CNDNMB = BADC1
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END IF
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END IF
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*
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ANORM = TEN
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BNORM = TEN*TEN*TEN
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IF( LSAMEN( 3, PATH, 'GQR') .OR. LSAMEN( 3, PATH, 'GRQ') )THEN
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IF( IMAT.EQ.7 ) THEN
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ANORM = SMALL
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BNORM = LARGE
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ELSE IF( IMAT.EQ.8 ) THEN
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ANORM = LARGE
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BNORM = SMALL
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END IF
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END IF
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*
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IF( N.LE.1 )THEN
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CNDNMA = ONE
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CNDNMB = ONE
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END IF
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*
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RETURN
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*
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* End of SLATB9
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*
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END
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