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LAPACK 3.3.1
Linear Algebra PACKage
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LAPACK 3.3.1
Linear Algebra PACKage
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00001 SUBROUTINE ZCHKGK( NIN, NOUT ) 00002 * 00003 * -- LAPACK test routine (version 3.1) -- 00004 * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. 00005 * November 2006 00006 * 00007 * .. Scalar Arguments .. 00008 INTEGER NIN, NOUT 00009 * .. 00010 * 00011 * Purpose 00012 * ======= 00013 * 00014 * ZCHKGK tests ZGGBAK, a routine for backward balancing of 00015 * a matrix pair (A, B). 00016 * 00017 * Arguments 00018 * ========= 00019 * 00020 * NIN (input) INTEGER 00021 * The logical unit number for input. NIN > 0. 00022 * 00023 * NOUT (input) INTEGER 00024 * The logical unit number for output. NOUT > 0. 00025 * 00026 * ===================================================================== 00027 * 00028 * .. Parameters .. 00029 INTEGER LDA, LDB, LDVL, LDVR 00030 PARAMETER ( LDA = 50, LDB = 50, LDVL = 50, LDVR = 50 ) 00031 INTEGER LDE, LDF, LDWORK, LRWORK 00032 PARAMETER ( LDE = 50, LDF = 50, LDWORK = 50, 00033 $ LRWORK = 6*50 ) 00034 DOUBLE PRECISION ZERO 00035 PARAMETER ( ZERO = 0.0D+0 ) 00036 COMPLEX*16 CZERO, CONE 00037 PARAMETER ( CZERO = ( 0.0D+0, 0.0D+0 ), 00038 $ CONE = ( 1.0D+0, 0.0D+0 ) ) 00039 * .. 00040 * .. Local Scalars .. 00041 INTEGER I, IHI, ILO, INFO, J, KNT, M, N, NINFO 00042 DOUBLE PRECISION ANORM, BNORM, EPS, RMAX, VMAX 00043 COMPLEX*16 CDUM 00044 * .. 00045 * .. Local Arrays .. 00046 INTEGER LMAX( 4 ) 00047 DOUBLE PRECISION LSCALE( LDA ), RSCALE( LDA ), RWORK( LRWORK ) 00048 COMPLEX*16 A( LDA, LDA ), AF( LDA, LDA ), B( LDB, LDB ), 00049 $ BF( LDB, LDB ), E( LDE, LDE ), F( LDF, LDF ), 00050 $ VL( LDVL, LDVL ), VLF( LDVL, LDVL ), 00051 $ VR( LDVR, LDVR ), VRF( LDVR, LDVR ), 00052 $ WORK( LDWORK, LDWORK ) 00053 * .. 00054 * .. External Functions .. 00055 DOUBLE PRECISION DLAMCH, ZLANGE 00056 EXTERNAL DLAMCH, ZLANGE 00057 * .. 00058 * .. External Subroutines .. 00059 EXTERNAL ZGEMM, ZGGBAK, ZGGBAL, ZLACPY 00060 * .. 00061 * .. Intrinsic Functions .. 00062 INTRINSIC ABS, DBLE, DIMAG, MAX 00063 * .. 00064 * .. Statement Functions .. 00065 DOUBLE PRECISION CABS1 00066 * .. 00067 * .. Statement Function definitions .. 00068 CABS1( CDUM ) = ABS( DBLE( CDUM ) ) + ABS( DIMAG( CDUM ) ) 00069 * .. 00070 * .. Executable Statements .. 00071 * 00072 LMAX( 1 ) = 0 00073 LMAX( 2 ) = 0 00074 LMAX( 3 ) = 0 00075 LMAX( 4 ) = 0 00076 NINFO = 0 00077 KNT = 0 00078 RMAX = ZERO 00079 * 00080 EPS = DLAMCH( 'Precision' ) 00081 * 00082 10 CONTINUE 00083 READ( NIN, FMT = * )N, M 00084 IF( N.EQ.0 ) 00085 $ GO TO 100 00086 * 00087 DO 20 I = 1, N 00088 READ( NIN, FMT = * )( A( I, J ), J = 1, N ) 00089 20 CONTINUE 00090 * 00091 DO 30 I = 1, N 00092 READ( NIN, FMT = * )( B( I, J ), J = 1, N ) 00093 30 CONTINUE 00094 * 00095 DO 40 I = 1, N 00096 READ( NIN, FMT = * )( VL( I, J ), J = 1, M ) 00097 40 CONTINUE 00098 * 00099 DO 50 I = 1, N 00100 READ( NIN, FMT = * )( VR( I, J ), J = 1, M ) 00101 50 CONTINUE 00102 * 00103 KNT = KNT + 1 00104 * 00105 ANORM = ZLANGE( 'M', N, N, A, LDA, RWORK ) 00106 BNORM = ZLANGE( 'M', N, N, B, LDB, RWORK ) 00107 * 00108 CALL ZLACPY( 'FULL', N, N, A, LDA, AF, LDA ) 00109 CALL ZLACPY( 'FULL', N, N, B, LDB, BF, LDB ) 00110 * 00111 CALL ZGGBAL( 'B', N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE, 00112 $ RWORK, INFO ) 00113 IF( INFO.NE.0 ) THEN 00114 NINFO = NINFO + 1 00115 LMAX( 1 ) = KNT 00116 END IF 00117 * 00118 CALL ZLACPY( 'FULL', N, M, VL, LDVL, VLF, LDVL ) 00119 CALL ZLACPY( 'FULL', N, M, VR, LDVR, VRF, LDVR ) 00120 * 00121 CALL ZGGBAK( 'B', 'L', N, ILO, IHI, LSCALE, RSCALE, M, VL, LDVL, 00122 $ INFO ) 00123 IF( INFO.NE.0 ) THEN 00124 NINFO = NINFO + 1 00125 LMAX( 2 ) = KNT 00126 END IF 00127 * 00128 CALL ZGGBAK( 'B', 'R', N, ILO, IHI, LSCALE, RSCALE, M, VR, LDVR, 00129 $ INFO ) 00130 IF( INFO.NE.0 ) THEN 00131 NINFO = NINFO + 1 00132 LMAX( 3 ) = KNT 00133 END IF 00134 * 00135 * Test of ZGGBAK 00136 * 00137 * Check tilde(VL)'*A*tilde(VR) - VL'*tilde(A)*VR 00138 * where tilde(A) denotes the transformed matrix. 00139 * 00140 CALL ZGEMM( 'N', 'N', N, M, N, CONE, AF, LDA, VR, LDVR, CZERO, 00141 $ WORK, LDWORK ) 00142 CALL ZGEMM( 'C', 'N', M, M, N, CONE, VL, LDVL, WORK, LDWORK, 00143 $ CZERO, E, LDE ) 00144 * 00145 CALL ZGEMM( 'N', 'N', N, M, N, CONE, A, LDA, VRF, LDVR, CZERO, 00146 $ WORK, LDWORK ) 00147 CALL ZGEMM( 'C', 'N', M, M, N, CONE, VLF, LDVL, WORK, LDWORK, 00148 $ CZERO, F, LDF ) 00149 * 00150 VMAX = ZERO 00151 DO 70 J = 1, M 00152 DO 60 I = 1, M 00153 VMAX = MAX( VMAX, CABS1( E( I, J )-F( I, J ) ) ) 00154 60 CONTINUE 00155 70 CONTINUE 00156 VMAX = VMAX / ( EPS*MAX( ANORM, BNORM ) ) 00157 IF( VMAX.GT.RMAX ) THEN 00158 LMAX( 4 ) = KNT 00159 RMAX = VMAX 00160 END IF 00161 * 00162 * Check tilde(VL)'*B*tilde(VR) - VL'*tilde(B)*VR 00163 * 00164 CALL ZGEMM( 'N', 'N', N, M, N, CONE, BF, LDB, VR, LDVR, CZERO, 00165 $ WORK, LDWORK ) 00166 CALL ZGEMM( 'C', 'N', M, M, N, CONE, VL, LDVL, WORK, LDWORK, 00167 $ CZERO, E, LDE ) 00168 * 00169 CALL ZGEMM( 'n', 'n', N, M, N, CONE, B, LDB, VRF, LDVR, CZERO, 00170 $ WORK, LDWORK ) 00171 CALL ZGEMM( 'C', 'N', M, M, N, CONE, VLF, LDVL, WORK, LDWORK, 00172 $ CZERO, F, LDF ) 00173 * 00174 VMAX = ZERO 00175 DO 90 J = 1, M 00176 DO 80 I = 1, M 00177 VMAX = MAX( VMAX, CABS1( E( I, J )-F( I, J ) ) ) 00178 80 CONTINUE 00179 90 CONTINUE 00180 VMAX = VMAX / ( EPS*MAX( ANORM, BNORM ) ) 00181 IF( VMAX.GT.RMAX ) THEN 00182 LMAX( 4 ) = KNT 00183 RMAX = VMAX 00184 END IF 00185 * 00186 GO TO 10 00187 * 00188 100 CONTINUE 00189 * 00190 WRITE( NOUT, FMT = 9999 ) 00191 9999 FORMAT( 1X, '.. test output of ZGGBAK .. ' ) 00192 * 00193 WRITE( NOUT, FMT = 9998 )RMAX 00194 9998 FORMAT( ' value of largest test error =', D12.3 ) 00195 WRITE( NOUT, FMT = 9997 )LMAX( 1 ) 00196 9997 FORMAT( ' example number where ZGGBAL info is not 0 =', I4 ) 00197 WRITE( NOUT, FMT = 9996 )LMAX( 2 ) 00198 9996 FORMAT( ' example number where ZGGBAK(L) info is not 0 =', I4 ) 00199 WRITE( NOUT, FMT = 9995 )LMAX( 3 ) 00200 9995 FORMAT( ' example number where ZGGBAK(R) info is not 0 =', I4 ) 00201 WRITE( NOUT, FMT = 9994 )LMAX( 4 ) 00202 9994 FORMAT( ' example number having largest error =', I4 ) 00203 WRITE( NOUT, FMT = 9992 )NINFO 00204 9992 FORMAT( ' number of examples where info is not 0 =', I4 ) 00205 WRITE( NOUT, FMT = 9991 )KNT 00206 9991 FORMAT( ' total number of examples tested =', I4 ) 00207 * 00208 RETURN 00209 * 00210 * End of ZCHKGK 00211 * 00212 END
1.7.3 
