zheevx.f.html

来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 464 行 · 第 1/3 页

         SIGMA = RMIN / ANRM
      ELSE IF( ANRM.GT.RMAX ) THEN
         ISCALE = 1
         SIGMA = RMAX / ANRM
      END IF
      IF( ISCALE.EQ.1 ) THEN
         IF( LOWER ) THEN
            DO 10 J = 1, N
               CALL ZDSCAL( N-J+1, SIGMA, A( J, J ), 1 )
   10       CONTINUE
         ELSE
            DO 20 J = 1, N
               CALL ZDSCAL( J, SIGMA, A( 1, J ), 1 )
   20       CONTINUE
         END IF
         IF( ABSTOL.GT.0 )
     $      ABSTLL = ABSTOL*SIGMA
         IF( VALEIG ) THEN
            VLL = VL*SIGMA
            VUU = VU*SIGMA
         END IF
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Call <a name="ZHETRD.315"></a><a href="zhetrd.f.html#ZHETRD.1">ZHETRD</a> to reduce Hermitian matrix to tridiagonal form.
</span><span class="comment">*</span><span class="comment">
</span>      INDD = 1
      INDE = INDD + N
      INDRWK = INDE + N
      INDTAU = 1
      INDWRK = INDTAU + N
      LLWORK = LWORK - INDWRK + 1
      CALL <a name="ZHETRD.323"></a><a href="zhetrd.f.html#ZHETRD.1">ZHETRD</a>( UPLO, N, A, LDA, RWORK( INDD ), RWORK( INDE ),
     $             WORK( INDTAU ), WORK( INDWRK ), LLWORK, IINFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     If all eigenvalues are desired and ABSTOL is less than or equal to
</span><span class="comment">*</span><span class="comment">     zero, then call <a name="DSTERF.327"></a><a href="dsterf.f.html#DSTERF.1">DSTERF</a> or <a name="ZUNGTR.327"></a><a href="zungtr.f.html#ZUNGTR.1">ZUNGTR</a> and <a name="ZSTEQR.327"></a><a href="zsteqr.f.html#ZSTEQR.1">ZSTEQR</a>.  If this fails for
</span><span class="comment">*</span><span class="comment">     some eigenvalue, then try <a name="DSTEBZ.328"></a><a href="dstebz.f.html#DSTEBZ.1">DSTEBZ</a>.
</span><span class="comment">*</span><span class="comment">
</span>      TEST = .FALSE.
      IF( INDEIG ) THEN
         IF( IL.EQ.1 .AND. IU.EQ.N ) THEN
            TEST = .TRUE.
         END IF
      END IF
      IF( ( ALLEIG .OR. TEST ) .AND. ( ABSTOL.LE.ZERO ) ) THEN
         CALL DCOPY( N, RWORK( INDD ), 1, W, 1 )
         INDEE = INDRWK + 2*N
         IF( .NOT.WANTZ ) THEN
            CALL DCOPY( N-1, RWORK( INDE ), 1, RWORK( INDEE ), 1 )
            CALL <a name="DSTERF.341"></a><a href="dsterf.f.html#DSTERF.1">DSTERF</a>( N, W, RWORK( INDEE ), INFO )
         ELSE
            CALL <a name="ZLACPY.343"></a><a href="zlacpy.f.html#ZLACPY.1">ZLACPY</a>( <span class="string">'A'</span>, N, N, A, LDA, Z, LDZ )
            CALL <a name="ZUNGTR.344"></a><a href="zungtr.f.html#ZUNGTR.1">ZUNGTR</a>( UPLO, N, Z, LDZ, WORK( INDTAU ),
     $                   WORK( INDWRK ), LLWORK, IINFO )
            CALL DCOPY( N-1, RWORK( INDE ), 1, RWORK( INDEE ), 1 )
            CALL <a name="ZSTEQR.347"></a><a href="zsteqr.f.html#ZSTEQR.1">ZSTEQR</a>( JOBZ, N, W, RWORK( INDEE ), Z, LDZ,
     $                   RWORK( INDRWK ), INFO )
            IF( INFO.EQ.0 ) THEN
               DO 30 I = 1, N
                  IFAIL( I ) = 0
   30          CONTINUE
            END IF
         END IF
         IF( INFO.EQ.0 ) THEN
            M = N
            GO TO 40
         END IF
         INFO = 0
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Otherwise, call <a name="DSTEBZ.362"></a><a href="dstebz.f.html#DSTEBZ.1">DSTEBZ</a> and, if eigenvectors are desired, <a name="ZSTEIN.362"></a><a href="zstein.f.html#ZSTEIN.1">ZSTEIN</a>.
</span><span class="comment">*</span><span class="comment">
</span>      IF( WANTZ ) THEN
         ORDER = <span class="string">'B'</span>
      ELSE
         ORDER = <span class="string">'E'</span>
      END IF
      INDIBL = 1
      INDISP = INDIBL + N
      INDIWK = INDISP + N
      CALL <a name="DSTEBZ.372"></a><a href="dstebz.f.html#DSTEBZ.1">DSTEBZ</a>( RANGE, ORDER, N, VLL, VUU, IL, IU, ABSTLL,
     $             RWORK( INDD ), RWORK( INDE ), M, NSPLIT, W,
     $             IWORK( INDIBL ), IWORK( INDISP ), RWORK( INDRWK ),
     $             IWORK( INDIWK ), INFO )
<span class="comment">*</span><span class="comment">
</span>      IF( WANTZ ) THEN
         CALL <a name="ZSTEIN.378"></a><a href="zstein.f.html#ZSTEIN.1">ZSTEIN</a>( N, RWORK( INDD ), RWORK( INDE ), M, W,
     $                IWORK( INDIBL ), IWORK( INDISP ), Z, LDZ,
     $                RWORK( INDRWK ), IWORK( INDIWK ), IFAIL, INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Apply unitary matrix used in reduction to tridiagonal
</span><span class="comment">*</span><span class="comment">        form to eigenvectors returned by <a name="ZSTEIN.383"></a><a href="zstein.f.html#ZSTEIN.1">ZSTEIN</a>.
</span><span class="comment">*</span><span class="comment">
</span>         CALL <a name="ZUNMTR.385"></a><a href="zunmtr.f.html#ZUNMTR.1">ZUNMTR</a>( <span class="string">'L'</span>, UPLO, <span class="string">'N'</span>, N, M, A, LDA, WORK( INDTAU ), Z,
     $                LDZ, WORK( INDWRK ), LLWORK, IINFO )
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     If matrix was scaled, then rescale eigenvalues appropriately.
</span><span class="comment">*</span><span class="comment">
</span>   40 CONTINUE
      IF( ISCALE.EQ.1 ) THEN
         IF( INFO.EQ.0 ) THEN
            IMAX = M
         ELSE
            IMAX = INFO - 1
         END IF
         CALL DSCAL( IMAX, ONE / SIGMA, W, 1 )
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     If eigenvalues are not in order, then sort them, along with
</span><span class="comment">*</span><span class="comment">     eigenvectors.
</span><span class="comment">*</span><span class="comment">
</span>      IF( WANTZ ) THEN
         DO 60 J = 1, M - 1
            I = 0
            TMP1 = W( J )
            DO 50 JJ = J + 1, M
               IF( W( JJ ).LT.TMP1 ) THEN
                  I = JJ
                  TMP1 = W( JJ )
               END IF
   50       CONTINUE
<span class="comment">*</span><span class="comment">
</span>            IF( I.NE.0 ) THEN
               ITMP1 = IWORK( INDIBL+I-1 )
               W( I ) = W( J )
               IWORK( INDIBL+I-1 ) = IWORK( INDIBL+J-1 )
               W( J ) = TMP1
               IWORK( INDIBL+J-1 ) = ITMP1
               CALL ZSWAP( N, Z( 1, I ), 1, Z( 1, J ), 1 )
               IF( INFO.NE.0 ) THEN
                  ITMP1 = IFAIL( I )
                  IFAIL( I ) = IFAIL( J )
                  IFAIL( J ) = ITMP1
               END IF
            END IF
   60    CONTINUE
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Set WORK(1) to optimal complex workspace size.
</span><span class="comment">*</span><span class="comment">
</span>      WORK( 1 ) = LWKOPT
<span class="comment">*</span><span class="comment">
</span>      RETURN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     End of <a name="ZHEEVX.437"></a><a href="zheevx.f.html#ZHEEVX.1">ZHEEVX</a>
</span><span class="comment">*</span><span class="comment">
</span>      END

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