LAPACK: TESTING/EIG/zget37.f Source File

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00001       SUBROUTINE ZGET37( RMAX, LMAX, NINFO, KNT, NIN )
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            KNT, NIN
00009 *     ..
00010 *     .. Array Arguments ..
00011       INTEGER            LMAX( 3 ), NINFO( 3 )
00012       DOUBLE PRECISION   RMAX( 3 )
00013 *     ..
00014 *
00015 *  Purpose
00016 *  =======
00017 *
00018 *  ZGET37 tests ZTRSNA, a routine for estimating condition numbers of
00019 *  eigenvalues and/or right eigenvectors of a matrix.
00020 *
00021 *  The test matrices are read from a file with logical unit number NIN.
00022 *
00023 *  Arguments
00024 *  ==========
00025 *
00026 *  RMAX    (output) DOUBLE PRECISION array, dimension (3)
00027 *          Value of the largest test ratio.
00028 *          RMAX(1) = largest ratio comparing different calls to ZTRSNA
00029 *          RMAX(2) = largest error in reciprocal condition
00030 *                    numbers taking their conditioning into account
00031 *          RMAX(3) = largest error in reciprocal condition
00032 *                    numbers not taking their conditioning into
00033 *                    account (may be larger than RMAX(2))
00034 *
00035 *  LMAX    (output) INTEGER array, dimension (3)
00036 *          LMAX(i) is example number where largest test ratio
00037 *          RMAX(i) is achieved. Also:
00038 *          If ZGEHRD returns INFO nonzero on example i, LMAX(1)=i
00039 *          If ZHSEQR returns INFO nonzero on example i, LMAX(2)=i
00040 *          If ZTRSNA returns INFO nonzero on example i, LMAX(3)=i
00041 *
00042 *  NINFO   (output) INTEGER array, dimension (3)
00043 *          NINFO(1) = No. of times ZGEHRD returned INFO nonzero
00044 *          NINFO(2) = No. of times ZHSEQR returned INFO nonzero
00045 *          NINFO(3) = No. of times ZTRSNA returned INFO nonzero
00046 *
00047 *  KNT     (output) INTEGER
00048 *          Total number of examples tested.
00049 *
00050 *  NIN     (input) INTEGER
00051 *          Input logical unit number
00052 *
00053 *  =====================================================================
00054 *
00055 *     .. Parameters ..
00056       DOUBLE PRECISION   ZERO, ONE, TWO
00057       PARAMETER          ( ZERO = 0.0D0, ONE = 1.0D0, TWO = 2.0D0 )
00058       DOUBLE PRECISION   EPSIN
00059       PARAMETER          ( EPSIN = 5.9605D-8 )
00060       INTEGER            LDT, LWORK
00061       PARAMETER          ( LDT = 20, LWORK = 2*LDT*( 10+LDT ) )
00062 *     ..
00063 *     .. Local Scalars ..
00064       INTEGER            I, ICMP, INFO, ISCL, ISRT, J, KMIN, M, N
00065       DOUBLE PRECISION   BIGNUM, EPS, SMLNUM, TNRM, TOL, TOLIN, V,
00066      $                   VCMIN, VMAX, VMIN, VMUL
00067 *     ..
00068 *     .. Local Arrays ..
00069       LOGICAL            SELECT( LDT )
00070       INTEGER            LCMP( 3 )
00071       DOUBLE PRECISION   DUM( 1 ), RWORK( 2*LDT ), S( LDT ), SEP( LDT ),
00072      $                   SEPIN( LDT ), SEPTMP( LDT ), SIN( LDT ),
00073      $                   STMP( LDT ), VAL( 3 ), WIIN( LDT ),
00074      $                   WRIN( LDT ), WSRT( LDT )
00075       COMPLEX*16         CDUM( 1 ), LE( LDT, LDT ), RE( LDT, LDT ),
00076      $                   T( LDT, LDT ), TMP( LDT, LDT ), W( LDT ),
00077      $                   WORK( LWORK ), WTMP( LDT )
00078 *     ..
00079 *     .. External Functions ..
00080       DOUBLE PRECISION   DLAMCH, ZLANGE
00081       EXTERNAL           DLAMCH, ZLANGE
00082 *     ..
00083 *     .. External Subroutines ..
00084       EXTERNAL           DCOPY, DLABAD, DSCAL, ZCOPY, ZDSCAL, ZGEHRD,
00085      $                   ZHSEQR, ZLACPY, ZTREVC, ZTRSNA
00086 *     ..
00087 *     .. Intrinsic Functions ..
00088       INTRINSIC          DBLE, DIMAG, MAX, SQRT
00089 *     ..
00090 *     .. Executable Statements ..
00091 *
00092       EPS = DLAMCH( 'P' )
00093       SMLNUM = DLAMCH( 'S' ) / EPS
00094       BIGNUM = ONE / SMLNUM
00095       CALL DLABAD( SMLNUM, BIGNUM )
00096 *
00097 *     EPSIN = 2**(-24) = precision to which input data computed
00098 *
00099       EPS = MAX( EPS, EPSIN )
00100       RMAX( 1 ) = ZERO
00101       RMAX( 2 ) = ZERO
00102       RMAX( 3 ) = ZERO
00103       LMAX( 1 ) = 0
00104       LMAX( 2 ) = 0
00105       LMAX( 3 ) = 0
00106       KNT = 0
00107       NINFO( 1 ) = 0
00108       NINFO( 2 ) = 0
00109       NINFO( 3 ) = 0
00110       VAL( 1 ) = SQRT( SMLNUM )
00111       VAL( 2 ) = ONE
00112       VAL( 3 ) = SQRT( BIGNUM )
00113 *
00114 *     Read input data until N=0.  Assume input eigenvalues are sorted
00115 *     lexicographically (increasing by real part if ISRT = 0,
00116 *     increasing by imaginary part if ISRT = 1)
00117 *
00118    10 CONTINUE
00119       READ( NIN, FMT = * )N, ISRT
00120       IF( N.EQ.0 )
00121      $   RETURN
00122       DO 20 I = 1, N
00123          READ( NIN, FMT = * )( TMP( I, J ), J = 1, N )
00124    20 CONTINUE
00125       DO 30 I = 1, N
00126          READ( NIN, FMT = * )WRIN( I ), WIIN( I ), SIN( I ), SEPIN( I )
00127    30 CONTINUE
00128       TNRM = ZLANGE( 'M', N, N, TMP, LDT, RWORK )
00129       DO 260 ISCL = 1, 3
00130 *
00131 *        Scale input matrix
00132 *
00133          KNT = KNT + 1
00134          CALL ZLACPY( 'F', N, N, TMP, LDT, T, LDT )
00135          VMUL = VAL( ISCL )
00136          DO 40 I = 1, N
00137             CALL ZDSCAL( N, VMUL, T( 1, I ), 1 )
00138    40    CONTINUE
00139          IF( TNRM.EQ.ZERO )
00140      $      VMUL = ONE
00141 *
00142 *        Compute eigenvalues and eigenvectors
00143 *
00144          CALL ZGEHRD( N, 1, N, T, LDT, WORK( 1 ), WORK( N+1 ), LWORK-N,
00145      $                INFO )
00146          IF( INFO.NE.0 ) THEN
00147             LMAX( 1 ) = KNT
00148             NINFO( 1 ) = NINFO( 1 ) + 1
00149             GO TO 260
00150          END IF
00151          DO 60 J = 1, N - 2
00152             DO 50 I = J + 2, N
00153                T( I, J ) = ZERO
00154    50       CONTINUE
00155    60    CONTINUE
00156 *
00157 *        Compute Schur form
00158 *
00159          CALL ZHSEQR( 'S', 'N', N, 1, N, T, LDT, W, CDUM, 1, WORK,
00160      $                LWORK, INFO )
00161          IF( INFO.NE.0 ) THEN
00162             LMAX( 2 ) = KNT
00163             NINFO( 2 ) = NINFO( 2 ) + 1
00164             GO TO 260
00165          END IF
00166 *
00167 *        Compute eigenvectors
00168 *
00169          DO 70 I = 1, N
00170             SELECT( I ) = .TRUE.
00171    70    CONTINUE
00172          CALL ZTREVC( 'B', 'A', SELECT, N, T, LDT, LE, LDT, RE, LDT, N,
00173      $                M, WORK, RWORK, INFO )
00174 *
00175 *        Compute condition numbers
00176 *
00177          CALL ZTRSNA( 'B', 'A', SELECT, N, T, LDT, LE, LDT, RE, LDT, S,
00178      $                SEP, N, M, WORK, N, RWORK, INFO )
00179          IF( INFO.NE.0 ) THEN
00180             LMAX( 3 ) = KNT
00181             NINFO( 3 ) = NINFO( 3 ) + 1
00182             GO TO 260
00183          END IF
00184 *
00185 *        Sort eigenvalues and condition numbers lexicographically
00186 *        to compare with inputs
00187 *
00188          CALL ZCOPY( N, W, 1, WTMP, 1 )
00189          IF( ISRT.EQ.0 ) THEN
00190 *
00191 *           Sort by increasing real part
00192 *
00193             DO 80 I = 1, N
00194                WSRT( I ) = DBLE( W( I ) )
00195    80       CONTINUE
00196          ELSE
00197 *
00198 *           Sort by increasing imaginary part
00199 *
00200             DO 90 I = 1, N
00201                WSRT( I ) = DIMAG( W( I ) )
00202    90       CONTINUE
00203          END IF
00204          CALL DCOPY( N, S, 1, STMP, 1 )
00205          CALL DCOPY( N, SEP, 1, SEPTMP, 1 )
00206          CALL DSCAL( N, ONE / VMUL, SEPTMP, 1 )
00207          DO 110 I = 1, N - 1
00208             KMIN = I
00209             VMIN = WSRT( I )
00210             DO 100 J = I + 1, N
00211                IF( WSRT( J ).LT.VMIN ) THEN
00212                   KMIN = J
00213                   VMIN = WSRT( J )
00214                END IF
00215   100       CONTINUE
00216             WSRT( KMIN ) = WSRT( I )
00217             WSRT( I ) = VMIN
00218             VCMIN = WTMP( I )
00219             WTMP( I ) = W( KMIN )
00220             WTMP( KMIN ) = VCMIN
00221             VMIN = STMP( KMIN )
00222             STMP( KMIN ) = STMP( I )
00223             STMP( I ) = VMIN
00224             VMIN = SEPTMP( KMIN )
00225             SEPTMP( KMIN ) = SEPTMP( I )
00226             SEPTMP( I ) = VMIN
00227   110    CONTINUE
00228 *
00229 *        Compare condition numbers for eigenvalues
00230 *        taking their condition numbers into account
00231 *
00232          V = MAX( TWO*DBLE( N )*EPS*TNRM, SMLNUM )
00233          IF( TNRM.EQ.ZERO )
00234      $      V = ONE
00235          DO 120 I = 1, N
00236             IF( V.GT.SEPTMP( I ) ) THEN
00237                TOL = ONE
00238             ELSE
00239                TOL = V / SEPTMP( I )
00240             END IF
00241             IF( V.GT.SEPIN( I ) ) THEN
00242                TOLIN = ONE
00243             ELSE
00244                TOLIN = V / SEPIN( I )
00245             END IF
00246             TOL = MAX( TOL, SMLNUM / EPS )
00247             TOLIN = MAX( TOLIN, SMLNUM / EPS )
00248             IF( EPS*( SIN( I )-TOLIN ).GT.STMP( I )+TOL ) THEN
00249                VMAX = ONE / EPS
00250             ELSE IF( SIN( I )-TOLIN.GT.STMP( I )+TOL ) THEN
00251                VMAX = ( SIN( I )-TOLIN ) / ( STMP( I )+TOL )
00252             ELSE IF( SIN( I )+TOLIN.LT.EPS*( STMP( I )-TOL ) ) THEN
00253                VMAX = ONE / EPS
00254             ELSE IF( SIN( I )+TOLIN.LT.STMP( I )-TOL ) THEN
00255                VMAX = ( STMP( I )-TOL ) / ( SIN( I )+TOLIN )
00256             ELSE
00257                VMAX = ONE
00258             END IF
00259             IF( VMAX.GT.RMAX( 2 ) ) THEN
00260                RMAX( 2 ) = VMAX
00261                IF( NINFO( 2 ).EQ.0 )
00262      $            LMAX( 2 ) = KNT
00263             END IF
00264   120    CONTINUE
00265 *
00266 *        Compare condition numbers for eigenvectors
00267 *        taking their condition numbers into account
00268 *
00269          DO 130 I = 1, N
00270             IF( V.GT.SEPTMP( I )*STMP( I ) ) THEN
00271                TOL = SEPTMP( I )
00272             ELSE
00273                TOL = V / STMP( I )
00274             END IF
00275             IF( V.GT.SEPIN( I )*SIN( I ) ) THEN
00276                TOLIN = SEPIN( I )
00277             ELSE
00278                TOLIN = V / SIN( I )
00279             END IF
00280             TOL = MAX( TOL, SMLNUM / EPS )
00281             TOLIN = MAX( TOLIN, SMLNUM / EPS )
00282             IF( EPS*( SEPIN( I )-TOLIN ).GT.SEPTMP( I )+TOL ) THEN
00283                VMAX = ONE / EPS
00284             ELSE IF( SEPIN( I )-TOLIN.GT.SEPTMP( I )+TOL ) THEN
00285                VMAX = ( SEPIN( I )-TOLIN ) / ( SEPTMP( I )+TOL )
00286             ELSE IF( SEPIN( I )+TOLIN.LT.EPS*( SEPTMP( I )-TOL ) ) THEN
00287                VMAX = ONE / EPS
00288             ELSE IF( SEPIN( I )+TOLIN.LT.SEPTMP( I )-TOL ) THEN
00289                VMAX = ( SEPTMP( I )-TOL ) / ( SEPIN( I )+TOLIN )
00290             ELSE
00291                VMAX = ONE
00292             END IF
00293             IF( VMAX.GT.RMAX( 2 ) ) THEN
00294                RMAX( 2 ) = VMAX
00295                IF( NINFO( 2 ).EQ.0 )
00296      $            LMAX( 2 ) = KNT
00297             END IF
00298   130    CONTINUE
00299 *
00300 *        Compare condition numbers for eigenvalues
00301 *        without taking their condition numbers into account
00302 *
00303          DO 140 I = 1, N
00304             IF( SIN( I ).LE.DBLE( 2*N )*EPS .AND. STMP( I ).LE.
00305      $          DBLE( 2*N )*EPS ) THEN
00306                VMAX = ONE
00307             ELSE IF( EPS*SIN( I ).GT.STMP( I ) ) THEN
00308                VMAX = ONE / EPS
00309             ELSE IF( SIN( I ).GT.STMP( I ) ) THEN
00310                VMAX = SIN( I ) / STMP( I )
00311             ELSE IF( SIN( I ).LT.EPS*STMP( I ) ) THEN
00312                VMAX = ONE / EPS
00313             ELSE IF( SIN( I ).LT.STMP( I ) ) THEN
00314                VMAX = STMP( I ) / SIN( I )
00315             ELSE
00316                VMAX = ONE
00317             END IF
00318             IF( VMAX.GT.RMAX( 3 ) ) THEN
00319                RMAX( 3 ) = VMAX
00320                IF( NINFO( 3 ).EQ.0 )
00321      $            LMAX( 3 ) = KNT
00322             END IF
00323   140    CONTINUE
00324 *
00325 *        Compare condition numbers for eigenvectors
00326 *        without taking their condition numbers into account
00327 *
00328          DO 150 I = 1, N
00329             IF( SEPIN( I ).LE.V .AND. SEPTMP( I ).LE.V ) THEN
00330                VMAX = ONE
00331             ELSE IF( EPS*SEPIN( I ).GT.SEPTMP( I ) ) THEN
00332                VMAX = ONE / EPS
00333             ELSE IF( SEPIN( I ).GT.SEPTMP( I ) ) THEN
00334                VMAX = SEPIN( I ) / SEPTMP( I )
00335             ELSE IF( SEPIN( I ).LT.EPS*SEPTMP( I ) ) THEN
00336                VMAX = ONE / EPS
00337             ELSE IF( SEPIN( I ).LT.SEPTMP( I ) ) THEN
00338                VMAX = SEPTMP( I ) / SEPIN( I )
00339             ELSE
00340                VMAX = ONE
00341             END IF
00342             IF( VMAX.GT.RMAX( 3 ) ) THEN
00343                RMAX( 3 ) = VMAX
00344                IF( NINFO( 3 ).EQ.0 )
00345      $            LMAX( 3 ) = KNT
00346             END IF
00347   150    CONTINUE
00348 *
00349 *        Compute eigenvalue condition numbers only and compare
00350 *
00351          VMAX = ZERO
00352          DUM( 1 ) = -ONE
00353          CALL DCOPY( N, DUM, 0, STMP, 1 )
00354          CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
00355          CALL ZTRSNA( 'E', 'A', SELECT, N, T, LDT, LE, LDT, RE, LDT,
00356      $                STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
00357          IF( INFO.NE.0 ) THEN
00358             LMAX( 3 ) = KNT
00359             NINFO( 3 ) = NINFO( 3 ) + 1
00360             GO TO 260
00361          END IF
00362          DO 160 I = 1, N
00363             IF( STMP( I ).NE.S( I ) )
00364      $         VMAX = ONE / EPS
00365             IF( SEPTMP( I ).NE.DUM( 1 ) )
00366      $         VMAX = ONE / EPS
00367   160    CONTINUE
00368 *
00369 *        Compute eigenvector condition numbers only and compare
00370 *
00371          CALL DCOPY( N, DUM, 0, STMP, 1 )
00372          CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
00373          CALL ZTRSNA( 'V', 'A', SELECT, N, T, LDT, LE, LDT, RE, LDT,
00374      $                STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
00375          IF( INFO.NE.0 ) THEN
00376             LMAX( 3 ) = KNT
00377             NINFO( 3 ) = NINFO( 3 ) + 1
00378             GO TO 260
00379          END IF
00380          DO 170 I = 1, N
00381             IF( STMP( I ).NE.DUM( 1 ) )
00382      $         VMAX = ONE / EPS
00383             IF( SEPTMP( I ).NE.SEP( I ) )
00384      $         VMAX = ONE / EPS
00385   170    CONTINUE
00386 *
00387 *        Compute all condition numbers using SELECT and compare
00388 *
00389          DO 180 I = 1, N
00390             SELECT( I ) = .TRUE.
00391   180    CONTINUE
00392          CALL DCOPY( N, DUM, 0, STMP, 1 )
00393          CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
00394          CALL ZTRSNA( 'B', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
00395      $                STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
00396          IF( INFO.NE.0 ) THEN
00397             LMAX( 3 ) = KNT
00398             NINFO( 3 ) = NINFO( 3 ) + 1
00399             GO TO 260
00400          END IF
00401          DO 190 I = 1, N
00402             IF( SEPTMP( I ).NE.SEP( I ) )
00403      $         VMAX = ONE / EPS
00404             IF( STMP( I ).NE.S( I ) )
00405      $         VMAX = ONE / EPS
00406   190    CONTINUE
00407 *
00408 *        Compute eigenvalue condition numbers using SELECT and compare
00409 *
00410          CALL DCOPY( N, DUM, 0, STMP, 1 )
00411          CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
00412          CALL ZTRSNA( 'E', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
00413      $                STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
00414          IF( INFO.NE.0 ) THEN
00415             LMAX( 3 ) = KNT
00416             NINFO( 3 ) = NINFO( 3 ) + 1
00417             GO TO 260
00418          END IF
00419          DO 200 I = 1, N
00420             IF( STMP( I ).NE.S( I ) )
00421      $         VMAX = ONE / EPS
00422             IF( SEPTMP( I ).NE.DUM( 1 ) )
00423      $         VMAX = ONE / EPS
00424   200    CONTINUE
00425 *
00426 *        Compute eigenvector condition numbers using SELECT and compare
00427 *
00428          CALL DCOPY( N, DUM, 0, STMP, 1 )
00429          CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
00430          CALL ZTRSNA( 'V', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
00431      $                STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
00432          IF( INFO.NE.0 ) THEN
00433             LMAX( 3 ) = KNT
00434             NINFO( 3 ) = NINFO( 3 ) + 1
00435             GO TO 260
00436          END IF
00437          DO 210 I = 1, N
00438             IF( STMP( I ).NE.DUM( 1 ) )
00439      $         VMAX = ONE / EPS
00440             IF( SEPTMP( I ).NE.SEP( I ) )
00441      $         VMAX = ONE / EPS
00442   210    CONTINUE
00443          IF( VMAX.GT.RMAX( 1 ) ) THEN
00444             RMAX( 1 ) = VMAX
00445             IF( NINFO( 1 ).EQ.0 )
00446      $         LMAX( 1 ) = KNT
00447          END IF
00448 *
00449 *        Select second and next to last eigenvalues
00450 *
00451          DO 220 I = 1, N
00452             SELECT( I ) = .FALSE.
00453   220    CONTINUE
00454          ICMP = 0
00455          IF( N.GT.1 ) THEN
00456             ICMP = 1
00457             LCMP( 1 ) = 2
00458             SELECT( 2 ) = .TRUE.
00459             CALL ZCOPY( N, RE( 1, 2 ), 1, RE( 1, 1 ), 1 )
00460             CALL ZCOPY( N, LE( 1, 2 ), 1, LE( 1, 1 ), 1 )
00461          END IF
00462          IF( N.GT.3 ) THEN
00463             ICMP = 2
00464             LCMP( 2 ) = N - 1
00465             SELECT( N-1 ) = .TRUE.
00466             CALL ZCOPY( N, RE( 1, N-1 ), 1, RE( 1, 2 ), 1 )
00467             CALL ZCOPY( N, LE( 1, N-1 ), 1, LE( 1, 2 ), 1 )
00468          END IF
00469 *
00470 *        Compute all selected condition numbers
00471 *
00472          CALL DCOPY( ICMP, DUM, 0, STMP, 1 )
00473          CALL DCOPY( ICMP, DUM, 0, SEPTMP, 1 )
00474          CALL ZTRSNA( 'B', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
00475      $                STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
00476          IF( INFO.NE.0 ) THEN
00477             LMAX( 3 ) = KNT
00478             NINFO( 3 ) = NINFO( 3 ) + 1
00479             GO TO 260
00480          END IF
00481          DO 230 I = 1, ICMP
00482             J = LCMP( I )
00483             IF( SEPTMP( I ).NE.SEP( J ) )
00484      $         VMAX = ONE / EPS
00485             IF( STMP( I ).NE.S( J ) )
00486      $         VMAX = ONE / EPS
00487   230    CONTINUE
00488 *
00489 *        Compute selected eigenvalue condition numbers
00490 *
00491          CALL DCOPY( ICMP, DUM, 0, STMP, 1 )
00492          CALL DCOPY( ICMP, DUM, 0, SEPTMP, 1 )
00493          CALL ZTRSNA( 'E', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
00494      $                STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
00495          IF( INFO.NE.0 ) THEN
00496             LMAX( 3 ) = KNT
00497             NINFO( 3 ) = NINFO( 3 ) + 1
00498             GO TO 260
00499          END IF
00500          DO 240 I = 1, ICMP
00501             J = LCMP( I )
00502             IF( STMP( I ).NE.S( J ) )
00503      $         VMAX = ONE / EPS
00504             IF( SEPTMP( I ).NE.DUM( 1 ) )
00505      $         VMAX = ONE / EPS
00506   240    CONTINUE
00507 *
00508 *        Compute selected eigenvector condition numbers
00509 *
00510          CALL DCOPY( ICMP, DUM, 0, STMP, 1 )
00511          CALL DCOPY( ICMP, DUM, 0, SEPTMP, 1 )
00512          CALL ZTRSNA( 'V', 'S', SELECT, N, T, LDT, LE, LDT, RE, LDT,
00513      $                STMP, SEPTMP, N, M, WORK, N, RWORK, INFO )
00514          IF( INFO.NE.0 ) THEN
00515             LMAX( 3 ) = KNT
00516             NINFO( 3 ) = NINFO( 3 ) + 1
00517             GO TO 260
00518          END IF
00519          DO 250 I = 1, ICMP
00520             J = LCMP( I )
00521             IF( STMP( I ).NE.DUM( 1 ) )
00522      $         VMAX = ONE / EPS
00523             IF( SEPTMP( I ).NE.SEP( J ) )
00524      $         VMAX = ONE / EPS
00525   250    CONTINUE
00526          IF( VMAX.GT.RMAX( 1 ) ) THEN
00527             RMAX( 1 ) = VMAX
00528             IF( NINFO( 1 ).EQ.0 )
00529      $         LMAX( 1 ) = KNT
00530          END IF
00531   260 CONTINUE
00532       GO TO 10
00533 *
00534 *     End of ZGET37
00535 *
00536       END