dtrsyl.f.html

来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 938 行 · 第 1/4 页

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     $                         LDA, ONE, ONE, VEC, 2, -SGN*B( L1, L1 ),
     $                         ZERO, X, 2, SCALOC, XNORM, IERR )
                  IF( IERR.NE.0 )
     $               INFO = 1
<span class="comment">*</span><span class="comment">
</span>                  IF( SCALOC.NE.ONE ) THEN
                     DO 80 J = 1, N
                        CALL DSCAL( M, SCALOC, C( 1, J ), 1 )
   80                CONTINUE
                     SCALE = SCALE*SCALOC
                  END IF
                  C( K1, L1 ) = X( 1, 1 )
                  C( K2, L1 ) = X( 2, 1 )
<span class="comment">*</span><span class="comment">
</span>               ELSE IF( L1.NE.L2 .AND. K1.EQ.K2 ) THEN
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L1 ), 1 )
                  SUMR = DDOT( L1-1, C( K1, 1 ), LDC, B( 1, L1 ), 1 )
                  VEC( 1, 1 ) = SGN*( C( K1, L1 )-( SUML+SGN*SUMR ) )
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L2 ), 1 )
                  SUMR = DDOT( L1-1, C( K1, 1 ), LDC, B( 1, L2 ), 1 )
                  VEC( 2, 1 ) = SGN*( C( K1, L2 )-( SUML+SGN*SUMR ) )
<span class="comment">*</span><span class="comment">
</span>                  CALL <a name="DLALN2.476"></a><a href="dlaln2.f.html#DLALN2.1">DLALN2</a>( .TRUE., 2, 1, SMIN, ONE, B( L1, L1 ),
     $                         LDB, ONE, ONE, VEC, 2, -SGN*A( K1, K1 ),
     $                         ZERO, X, 2, SCALOC, XNORM, IERR )
                  IF( IERR.NE.0 )
     $               INFO = 1
<span class="comment">*</span><span class="comment">
</span>                  IF( SCALOC.NE.ONE ) THEN
                     DO 90 J = 1, N
                        CALL DSCAL( M, SCALOC, C( 1, J ), 1 )
   90                CONTINUE
                     SCALE = SCALE*SCALOC
                  END IF
                  C( K1, L1 ) = X( 1, 1 )
                  C( K1, L2 ) = X( 2, 1 )
<span class="comment">*</span><span class="comment">
</span>               ELSE IF( L1.NE.L2 .AND. K1.NE.K2 ) THEN
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L1 ), 1 )
                  SUMR = DDOT( L1-1, C( K1, 1 ), LDC, B( 1, L1 ), 1 )
                  VEC( 1, 1 ) = C( K1, L1 ) - ( SUML+SGN*SUMR )
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L2 ), 1 )
                  SUMR = DDOT( L1-1, C( K1, 1 ), LDC, B( 1, L2 ), 1 )
                  VEC( 1, 2 ) = C( K1, L2 ) - ( SUML+SGN*SUMR )
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K2 ), 1, C( 1, L1 ), 1 )
                  SUMR = DDOT( L1-1, C( K2, 1 ), LDC, B( 1, L1 ), 1 )
                  VEC( 2, 1 ) = C( K2, L1 ) - ( SUML+SGN*SUMR )
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K2 ), 1, C( 1, L2 ), 1 )
                  SUMR = DDOT( L1-1, C( K2, 1 ), LDC, B( 1, L2 ), 1 )
                  VEC( 2, 2 ) = C( K2, L2 ) - ( SUML+SGN*SUMR )
<span class="comment">*</span><span class="comment">
</span>                  CALL <a name="DLASY2.509"></a><a href="dlasy2.f.html#DLASY2.1">DLASY2</a>( .TRUE., .FALSE., ISGN, 2, 2, A( K1, K1 ),
     $                         LDA, B( L1, L1 ), LDB, VEC, 2, SCALOC, X,
     $                         2, XNORM, IERR )
                  IF( IERR.NE.0 )
     $               INFO = 1
<span class="comment">*</span><span class="comment">
</span>                  IF( SCALOC.NE.ONE ) THEN
                     DO 100 J = 1, N
                        CALL DSCAL( M, SCALOC, C( 1, J ), 1 )
  100                CONTINUE
                     SCALE = SCALE*SCALOC
                  END IF
                  C( K1, L1 ) = X( 1, 1 )
                  C( K1, L2 ) = X( 1, 2 )
                  C( K2, L1 ) = X( 2, 1 )
                  C( K2, L2 ) = X( 2, 2 )
               END IF
<span class="comment">*</span><span class="comment">
</span>  110       CONTINUE
  120    CONTINUE
<span class="comment">*</span><span class="comment">
</span>      ELSE IF( .NOT.NOTRNA .AND. .NOT.NOTRNB ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Solve    A'*X + ISGN*X*B' = scale*C.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        The (K,L)th block of X is determined starting from
</span><span class="comment">*</span><span class="comment">        top-right corner column by column by
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">           A(K,K)'*X(K,L) + ISGN*X(K,L)*B(L,L)' = C(K,L) - R(K,L)
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Where
</span><span class="comment">*</span><span class="comment">                     K-1                          N
</span><span class="comment">*</span><span class="comment">            R(K,L) = SUM [A(I,K)'*X(I,L)] + ISGN*SUM [X(K,J)*B(L,J)'].
</span><span class="comment">*</span><span class="comment">                     I=1                        J=L+1
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Start column loop (index = L)
</span><span class="comment">*</span><span class="comment">        L1 (L2): column index of the first (last) row of X(K,L)
</span><span class="comment">*</span><span class="comment">
</span>         LNEXT = N
         DO 180 L = N, 1, -1
            IF( L.GT.LNEXT )
     $         GO TO 180
            IF( L.EQ.1 ) THEN
               L1 = L
               L2 = L
            ELSE
               IF( B( L, L-1 ).NE.ZERO ) THEN
                  L1 = L - 1
                  L2 = L
                  LNEXT = L - 2
               ELSE
                  L1 = L
                  L2 = L
                  LNEXT = L - 1
               END IF
            END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">           Start row loop (index = K)
</span><span class="comment">*</span><span class="comment">           K1 (K2): row index of the first (last) row of X(K,L)
</span><span class="comment">*</span><span class="comment">
</span>            KNEXT = 1
            DO 170 K = 1, M
               IF( K.LT.KNEXT )
     $            GO TO 170
               IF( K.EQ.M ) THEN
                  K1 = K
                  K2 = K
               ELSE
                  IF( A( K+1, K ).NE.ZERO ) THEN
                     K1 = K
                     K2 = K + 1
                     KNEXT = K + 2
                  ELSE
                     K1 = K
                     K2 = K
                     KNEXT = K + 1
                  END IF
               END IF
<span class="comment">*</span><span class="comment">
</span>               IF( L1.EQ.L2 .AND. K1.EQ.K2 ) THEN
                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L1 ), 1 )
                  SUMR = DDOT( N-L1, C( K1, MIN( L1+1, N ) ), LDC,
     $                   B( L1, MIN( L1+1, N ) ), LDB )
                  VEC( 1, 1 ) = C( K1, L1 ) - ( SUML+SGN*SUMR )
                  SCALOC = ONE
<span class="comment">*</span><span class="comment">
</span>                  A11 = A( K1, K1 ) + SGN*B( L1, L1 )
                  DA11 = ABS( A11 )
                  IF( DA11.LE.SMIN ) THEN
                     A11 = SMIN
                     DA11 = SMIN
                     INFO = 1
                  END IF
                  DB = ABS( VEC( 1, 1 ) )
                  IF( DA11.LT.ONE .AND. DB.GT.ONE ) THEN
                     IF( DB.GT.BIGNUM*DA11 )
     $                  SCALOC = ONE / DB
                  END IF
                  X( 1, 1 ) = ( VEC( 1, 1 )*SCALOC ) / A11
<span class="comment">*</span><span class="comment">
</span>                  IF( SCALOC.NE.ONE ) THEN
                     DO 130 J = 1, N
                        CALL DSCAL( M, SCALOC, C( 1, J ), 1 )
  130                CONTINUE
                     SCALE = SCALE*SCALOC
                  END IF
                  C( K1, L1 ) = X( 1, 1 )
<span class="comment">*</span><span class="comment">
</span>               ELSE IF( L1.EQ.L2 .AND. K1.NE.K2 ) THEN
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L1 ), 1 )
                  SUMR = DDOT( N-L2, C( K1, MIN( L2+1, N ) ), LDC,
     $                   B( L1, MIN( L2+1, N ) ), LDB )
                  VEC( 1, 1 ) = C( K1, L1 ) - ( SUML+SGN*SUMR )
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K2 ), 1, C( 1, L1 ), 1 )
                  SUMR = DDOT( N-L2, C( K2, MIN( L2+1, N ) ), LDC,
     $                   B( L1, MIN( L2+1, N ) ), LDB )
                  VEC( 2, 1 ) = C( K2, L1 ) - ( SUML+SGN*SUMR )
<span class="comment">*</span><span class="comment">
</span>                  CALL <a name="DLALN2.629"></a><a href="dlaln2.f.html#DLALN2.1">DLALN2</a>( .TRUE., 2, 1, SMIN, ONE, A( K1, K1 ),
     $                         LDA, ONE, ONE, VEC, 2, -SGN*B( L1, L1 ),
     $                         ZERO, X, 2, SCALOC, XNORM, IERR )
                  IF( IERR.NE.0 )
     $               INFO = 1
<span class="comment">*</span><span class="comment">
</span>                  IF( SCALOC.NE.ONE ) THEN
                     DO 140 J = 1, N
                        CALL DSCAL( M, SCALOC, C( 1, J ), 1 )
  140                CONTINUE
                     SCALE = SCALE*SCALOC
                  END IF
                  C( K1, L1 ) = X( 1, 1 )
                  C( K2, L1 ) = X( 2, 1 )
<span class="comment">*</span><span class="comment">
</span>               ELSE IF( L1.NE.L2 .AND. K1.EQ.K2 ) THEN
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L1 ), 1 )
                  SUMR = DDOT( N-L2, C( K1, MIN( L2+1, N ) ), LDC,
     $                   B( L1, MIN( L2+1, N ) ), LDB )
                  VEC( 1, 1 ) = SGN*( C( K1, L1 )-( SUML+SGN*SUMR ) )
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L2 ), 1 )
                  SUMR = DDOT( N-L2, C( K1, MIN( L2+1, N ) ), LDC,
     $                   B( L2, MIN( L2+1, N ) ), LDB )
                  VEC( 2, 1 ) = SGN*( C( K1, L2 )-( SUML+SGN*SUMR ) )
<span class="comment">*</span><span class="comment">
</span>                  CALL <a name="DLALN2.656"></a><a href="dlaln2.f.html#DLALN2.1">DLALN2</a>( .FALSE., 2, 1, SMIN, ONE, B( L1, L1 ),
     $                         LDB, ONE, ONE, VEC, 2, -SGN*A( K1, K1 ),
     $                         ZERO, X, 2, SCALOC, XNORM, IERR )
                  IF( IERR.NE.0 )
     $               INFO = 1
<span class="comment">*</span><span class="comment">
</span>                  IF( SCALOC.NE.ONE ) THEN
                     DO 150 J = 1, N
                        CALL DSCAL( M, SCALOC, C( 1, J ), 1 )
  150                CONTINUE
                     SCALE = SCALE*SCALOC
                  END IF
                  C( K1, L1 ) = X( 1, 1 )
                  C( K1, L2 ) = X( 2, 1 )
<span class="comment">*</span><span class="comment">
</span>               ELSE IF( L1.NE.L2 .AND. K1.NE.K2 ) THEN
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L1 ), 1 )
                  SUMR = DDOT( N-L2, C( K1, MIN( L2+1, N ) ), LDC,
     $                   B( L1, MIN( L2+1, N ) ), LDB )
                  VEC( 1, 1 ) = C( K1, L1 ) - ( SUML+SGN*SUMR )
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K1 ), 1, C( 1, L2 ), 1 )
                  SUMR = DDOT( N-L2, C( K1, MIN( L2+1, N ) ), LDC,
     $                   B( L2, MIN( L2+1, N ) ), LDB )
                  VEC( 1, 2 ) = C( K1, L2 ) - ( SUML+SGN*SUMR )
<span class="comment">*</span><span class="comment">
</span>                  SUML = DDOT( K1-1, A( 1, K2 ), 1, C( 1, L1 ), 1 )
                  SUMR = DDOT( N-L2, C( K2, MIN( L2+1, N ) ), LDC,
     $                   B( L1, MIN( L2+1, N ) ), LDB )
                  VEC( 2, 1 ) = C( K2, L1 ) - ( SUML+SGN*SUMR )
1234

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