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*> \brief \b DGET40
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DGET40( RMAX, LMAX, NINFO, KNT, NIN )
*
* .. Scalar Arguments ..
* INTEGER KNT, LMAX, NIN
* DOUBLE PRECISION RMAX
* ..
* .. Array Arguments ..
* INTEGER NINFO( 2 )
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> DGET40 tests DTGEXC, a routine for swapping adjacent blocks (either
*> 1 by 1 or 2 by 2) on the diagonal of a pencil in real generalized Schur form.
*> Thus, DTGEXC computes an orthogonal matrices Q and Z such that
*>
*> Q' * ( [ A B ], [ D E ] ) * Z = ( [ C1 B1 ], [ F1 E1 ] )
*> ( [ 0 C ] [ F ] ) ( [ 0 A1 ] [ D1] )
*>
*> where (C1,F1) is similar to (C,F) and (A1,D1) is similar to (A,D).
*> Both (A,D) and (C,F) are assumed to be in standard form
*> and (A1,D1) and (C1,F1) are returned with the
*> same properties.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[out] RMAX
*> \verbatim
*> RMAX is DOUBLE PRECISION
*> Value of the largest test ratio.
*> \endverbatim
*>
*> \param[out] LMAX
*> \verbatim
*> LMAX is INTEGER
*> Example number where largest test ratio achieved.
*> \endverbatim
*>
*> \param[out] NINFO
*> \verbatim
*> NINFO is INTEGER array, dimension (2)
*> NINFO( 1 ) = DTGEXC without accumulation returned INFO nonzero
*> NINFO( 2 ) = DTGEXC with accumulation returned INFO nonzero
*> \endverbatim
*>
*> \param[out] KNT
*> \verbatim
*> KNT is INTEGER
*> Total number of examples tested.
*> \endverbatim
*>
*> \param[in] NIN
*> \verbatim
*> NIN is INTEGER
*> Input logical unit number.
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup double_eig
*
* =====================================================================
SUBROUTINE DGET40( RMAX, LMAX, NINFO, KNT, NIN )
*
* -- LAPACK test routine --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*
* .. Scalar Arguments ..
INTEGER KNT, LMAX, NIN
DOUBLE PRECISION RMAX
* ..
* .. Array Arguments ..
INTEGER NINFO( 2 )
* ..
*
* =====================================================================
*
* .. Parameters ..
DOUBLE PRECISION ZERO, ONE
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
INTEGER LDT, LWORK
PARAMETER ( LDT = 10, LWORK = 100 + 4*LDT + 16 )
* ..
* .. Local Scalars ..
INTEGER I, IFST, IFST1, IFST2, IFSTSV, ILST, ILST1,
$ ILST2, ILSTSV, J, LOC, N
DOUBLE PRECISION EPS, RES
* ..
* .. Local Arrays ..
DOUBLE PRECISION Q( LDT, LDT ), Z( LDT, LDT ), RESULT( 4 ),
$ T( LDT, LDT ), T1( LDT, LDT ), T2( LDT, LDT ),
$ S( LDT, LDT ), S1( LDT, LDT ), S2( LDT, LDT ),
$ TMP( LDT, LDT ), WORK( LWORK )
* ..
* .. External Functions ..
DOUBLE PRECISION DLAMCH
EXTERNAL DLAMCH
* ..
* .. External Subroutines ..
EXTERNAL DHST01, DLACPY, DLASET, DTGEXC
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, SIGN
* ..
* .. Executable Statements ..
*
EPS = DLAMCH( 'P' )
RMAX = ZERO
LMAX = 0
KNT = 0
NINFO( 1 ) = 0
NINFO( 2 ) = 0
*
* Read input data until N=0
*
10 CONTINUE
READ( NIN, FMT = * )N, IFST, ILST
IF( N.EQ.0 )
$ RETURN
KNT = KNT + 1
DO 20 I = 1, N
READ( NIN, FMT = * )( TMP( I, J ), J = 1, N )
20 CONTINUE
CALL DLACPY( 'F', N, N, TMP, LDT, T, LDT )
CALL DLACPY( 'F', N, N, TMP, LDT, T1, LDT )
CALL DLACPY( 'F', N, N, TMP, LDT, T2, LDT )
DO 25 I = 1, N
READ( NIN, FMT = * )( TMP( I, J ), J = 1, N )
25 CONTINUE
CALL DLACPY( 'F', N, N, TMP, LDT, S, LDT )
CALL DLACPY( 'F', N, N, TMP, LDT, S1, LDT )
CALL DLACPY( 'F', N, N, TMP, LDT, S2, LDT )
IFSTSV = IFST
ILSTSV = ILST
IFST1 = IFST
ILST1 = ILST
IFST2 = IFST
ILST2 = ILST
RES = ZERO
*
* Test without accumulating Q and Z
*
CALL DLASET( 'Full', N, N, ZERO, ONE, Q, LDT )
CALL DLASET( 'Full', N, N, ZERO, ONE, Z, LDT )
CALL DTGEXC( .FALSE., .FALSE., N, T1, LDT, S1, LDT, Q, LDT,
$ Z, LDT, IFST1, ILST1, WORK, LWORK, NINFO ( 1 ) )
DO 40 I = 1, N
DO 30 J = 1, N
IF( I.EQ.J .AND. Q( I, J ).NE.ONE )
$ RES = RES + ONE / EPS
IF( I.NE.J .AND. Q( I, J ).NE.ZERO )
$ RES = RES + ONE / EPS
IF( I.EQ.J .AND. Z( I, J ).NE.ONE )
$ RES = RES + ONE / EPS
IF( I.NE.J .AND. Z( I, J ).NE.ZERO )
$ RES = RES + ONE / EPS
30 CONTINUE
40 CONTINUE
*
* Test with accumulating Q
*
CALL DLASET( 'Full', N, N, ZERO, ONE, Q, LDT )
CALL DLASET( 'Full', N, N, ZERO, ONE, Z, LDT )
CALL DTGEXC( .TRUE., .TRUE., N, T2, LDT, S2, LDT, Q, LDT,
$ Z, LDT, IFST2, ILST2, WORK, LWORK, NINFO ( 2 ) )
*
* Compare T1 with T2 and S1 with S2
*
DO 60 I = 1, N
DO 50 J = 1, N
IF( T1( I, J ).NE.T2( I, J ) )
$ RES = RES + ONE / EPS
IF( S1( I, J ).NE.S2( I, J ) )
$ RES = RES + ONE / EPS
50 CONTINUE
60 CONTINUE
IF( IFST1.NE.IFST2 )
$ RES = RES + ONE / EPS
IF( ILST1.NE.ILST2 )
$ RES = RES + ONE / EPS
IF( NINFO( 1 ).NE.NINFO( 2 ) )
$ RES = RES + ONE / EPS
*
* Test orthogonality of Q and Z and backward error on T2 and S2
*
CALL DGET51( 1, N, T, LDT, T2, LDT, Q, LDT, Z, LDT, WORK,
$ RESULT( 1 ) )
CALL DGET51( 1, N, S, LDT, S2, LDT, Q, LDT, Z, LDT, WORK,
$ RESULT( 2 ) )
CALL DGET51( 3, N, T, LDT, T2, LDT, Q, LDT, Q, LDT, WORK,
$ RESULT( 3 ) )
CALL DGET51( 3, N, T, LDT, T2, LDT, Z, LDT, Z, LDT, WORK,
$ RESULT( 4 ) )
RES = RES + RESULT( 1 ) + RESULT( 2 ) + RESULT( 3 ) + RESULT( 4 )
*
* Read next matrix pair
*
GO TO 10
*
* End of DGET40
*
END
|
