sggev.f.html

来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 514 行 · 第 1/3 页

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         CALL <a name="SLASET.326"></a><a href="slaset.f.html#SLASET.1">SLASET</a>( <span class="string">'Full'</span>, N, N, ZERO, ONE, VL, LDVL )
         IF( IROWS.GT.1 ) THEN
            CALL <a name="SLACPY.328"></a><a href="slacpy.f.html#SLACPY.1">SLACPY</a>( <span class="string">'L'</span>, IROWS-1, IROWS-1, B( ILO+1, ILO ), LDB,
     $                   VL( ILO+1, ILO ), LDVL )
         END IF
         CALL <a name="SORGQR.331"></a><a href="sorgqr.f.html#SORGQR.1">SORGQR</a>( IROWS, IROWS, IROWS, VL( ILO, ILO ), LDVL,
     $                WORK( ITAU ), WORK( IWRK ), LWORK+1-IWRK, IERR )
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Initialize VR
</span><span class="comment">*</span><span class="comment">
</span>      IF( ILVR )
     $   CALL <a name="SLASET.338"></a><a href="slaset.f.html#SLASET.1">SLASET</a>( <span class="string">'Full'</span>, N, N, ZERO, ONE, VR, LDVR )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Reduce to generalized Hessenberg form
</span><span class="comment">*</span><span class="comment">     (Workspace: none needed)
</span><span class="comment">*</span><span class="comment">
</span>      IF( ILV ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Eigenvectors requested -- work on whole matrix.
</span><span class="comment">*</span><span class="comment">
</span>         CALL <a name="SGGHRD.347"></a><a href="sgghrd.f.html#SGGHRD.1">SGGHRD</a>( JOBVL, JOBVR, N, ILO, IHI, A, LDA, B, LDB, VL,
     $                LDVL, VR, LDVR, IERR )
      ELSE
         CALL <a name="SGGHRD.350"></a><a href="sgghrd.f.html#SGGHRD.1">SGGHRD</a>( <span class="string">'N'</span>, <span class="string">'N'</span>, IROWS, 1, IROWS, A( ILO, ILO ), LDA,
     $                B( ILO, ILO ), LDB, VL, LDVL, VR, LDVR, IERR )
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Perform QZ algorithm (Compute eigenvalues, and optionally, the
</span><span class="comment">*</span><span class="comment">     Schur forms and Schur vectors)
</span><span class="comment">*</span><span class="comment">     (Workspace: need N)
</span><span class="comment">*</span><span class="comment">
</span>      IWRK = ITAU
      IF( ILV ) THEN
         CHTEMP = <span class="string">'S'</span>
      ELSE
         CHTEMP = <span class="string">'E'</span>
      END IF
      CALL <a name="SHGEQZ.364"></a><a href="shgeqz.f.html#SHGEQZ.1">SHGEQZ</a>( CHTEMP, JOBVL, JOBVR, N, ILO, IHI, A, LDA, B, LDB,
     $             ALPHAR, ALPHAI, BETA, VL, LDVL, VR, LDVR,
     $             WORK( IWRK ), LWORK+1-IWRK, IERR )
      IF( IERR.NE.0 ) THEN
         IF( IERR.GT.0 .AND. IERR.LE.N ) THEN
            INFO = IERR
         ELSE IF( IERR.GT.N .AND. IERR.LE.2*N ) THEN
            INFO = IERR - N
         ELSE
            INFO = N + 1
         END IF
         GO TO 110
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Compute Eigenvectors
</span><span class="comment">*</span><span class="comment">     (Workspace: need 6*N)
</span><span class="comment">*</span><span class="comment">
</span>      IF( ILV ) THEN
         IF( ILVL ) THEN
            IF( ILVR ) THEN
               CHTEMP = <span class="string">'B'</span>
            ELSE
               CHTEMP = <span class="string">'L'</span>
            END IF
         ELSE
            CHTEMP = <span class="string">'R'</span>
         END IF
         CALL <a name="STGEVC.391"></a><a href="stgevc.f.html#STGEVC.1">STGEVC</a>( CHTEMP, <span class="string">'B'</span>, LDUMMA, N, A, LDA, B, LDB, VL, LDVL,
     $                VR, LDVR, N, IN, WORK( IWRK ), IERR )
         IF( IERR.NE.0 ) THEN
            INFO = N + 2
            GO TO 110
         END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Undo balancing on VL and VR and normalization
</span><span class="comment">*</span><span class="comment">        (Workspace: none needed)
</span><span class="comment">*</span><span class="comment">
</span>         IF( ILVL ) THEN
            CALL <a name="SGGBAK.402"></a><a href="sggbak.f.html#SGGBAK.1">SGGBAK</a>( <span class="string">'P'</span>, <span class="string">'L'</span>, N, ILO, IHI, WORK( ILEFT ),
     $                   WORK( IRIGHT ), N, VL, LDVL, IERR )
            DO 50 JC = 1, N
               IF( ALPHAI( JC ).LT.ZERO )
     $            GO TO 50
               TEMP = ZERO
               IF( ALPHAI( JC ).EQ.ZERO ) THEN
                  DO 10 JR = 1, N
                     TEMP = MAX( TEMP, ABS( VL( JR, JC ) ) )
   10             CONTINUE
               ELSE
                  DO 20 JR = 1, N
                     TEMP = MAX( TEMP, ABS( VL( JR, JC ) )+
     $                      ABS( VL( JR, JC+1 ) ) )
   20             CONTINUE
               END IF
               IF( TEMP.LT.SMLNUM )
     $            GO TO 50
               TEMP = ONE / TEMP
               IF( ALPHAI( JC ).EQ.ZERO ) THEN
                  DO 30 JR = 1, N
                     VL( JR, JC ) = VL( JR, JC )*TEMP
   30             CONTINUE
               ELSE
                  DO 40 JR = 1, N
                     VL( JR, JC ) = VL( JR, JC )*TEMP
                     VL( JR, JC+1 ) = VL( JR, JC+1 )*TEMP
   40             CONTINUE
               END IF
   50       CONTINUE
         END IF
         IF( ILVR ) THEN
            CALL <a name="SGGBAK.434"></a><a href="sggbak.f.html#SGGBAK.1">SGGBAK</a>( <span class="string">'P'</span>, <span class="string">'R'</span>, N, ILO, IHI, WORK( ILEFT ),
     $                   WORK( IRIGHT ), N, VR, LDVR, IERR )
            DO 100 JC = 1, N
               IF( ALPHAI( JC ).LT.ZERO )
     $            GO TO 100
               TEMP = ZERO
               IF( ALPHAI( JC ).EQ.ZERO ) THEN
                  DO 60 JR = 1, N
                     TEMP = MAX( TEMP, ABS( VR( JR, JC ) ) )
   60             CONTINUE
               ELSE
                  DO 70 JR = 1, N
                     TEMP = MAX( TEMP, ABS( VR( JR, JC ) )+
     $                      ABS( VR( JR, JC+1 ) ) )
   70             CONTINUE
               END IF
               IF( TEMP.LT.SMLNUM )
     $            GO TO 100
               TEMP = ONE / TEMP
               IF( ALPHAI( JC ).EQ.ZERO ) THEN
                  DO 80 JR = 1, N
                     VR( JR, JC ) = VR( JR, JC )*TEMP
   80             CONTINUE
               ELSE
                  DO 90 JR = 1, N
                     VR( JR, JC ) = VR( JR, JC )*TEMP
                     VR( JR, JC+1 ) = VR( JR, JC+1 )*TEMP
   90             CONTINUE
               END IF
  100       CONTINUE
         END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        End of eigenvector calculation
</span><span class="comment">*</span><span class="comment">
</span>      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Undo scaling if necessary
</span><span class="comment">*</span><span class="comment">
</span>      IF( ILASCL ) THEN
         CALL <a name="SLASCL.473"></a><a href="slascl.f.html#SLASCL.1">SLASCL</a>( <span class="string">'G'</span>, 0, 0, ANRMTO, ANRM, N, 1, ALPHAR, N, IERR )
         CALL <a name="SLASCL.474"></a><a href="slascl.f.html#SLASCL.1">SLASCL</a>( <span class="string">'G'</span>, 0, 0, ANRMTO, ANRM, N, 1, ALPHAI, N, IERR )
      END IF
<span class="comment">*</span><span class="comment">
</span>      IF( ILBSCL ) THEN
         CALL <a name="SLASCL.478"></a><a href="slascl.f.html#SLASCL.1">SLASCL</a>( <span class="string">'G'</span>, 0, 0, BNRMTO, BNRM, N, 1, BETA, N, IERR )
      END IF
<span class="comment">*</span><span class="comment">
</span>  110 CONTINUE
<span class="comment">*</span><span class="comment">
</span>      WORK( 1 ) = MAXWRK
<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="SGGEV.487"></a><a href="sggev.f.html#SGGEV.1">SGGEV</a>
</span><span class="comment">*</span><span class="comment">
</span>      END

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