sggsvp.f.html

来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 418 行 · 第 1/3 页

</span>         CALL <a name="SORMR2.262"></a><a href="sormr2.f.html#SORMR2.1">SORMR2</a>( <span class="string">'Right'</span>, <span class="string">'Transpose'</span>, M, N, L, B, LDB, TAU, A,
     $                LDA, WORK, INFO )
<span class="comment">*</span><span class="comment">
</span>         IF( WANTQ ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">           Update Q := Q*Z'
</span><span class="comment">*</span><span class="comment">
</span>            CALL <a name="SORMR2.269"></a><a href="sormr2.f.html#SORMR2.1">SORMR2</a>( <span class="string">'Right'</span>, <span class="string">'Transpose'</span>, N, N, L, B, LDB, TAU, Q,
     $                   LDQ, WORK, INFO )
         END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Clean up B
</span><span class="comment">*</span><span class="comment">
</span>         CALL <a name="SLASET.275"></a><a href="slaset.f.html#SLASET.1">SLASET</a>( <span class="string">'Full'</span>, L, N-L, ZERO, ZERO, B, LDB )
         DO 60 J = N - L + 1, N
            DO 50 I = J - N + L + 1, L
               B( I, J ) = ZERO
   50       CONTINUE
   60    CONTINUE
<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">     Let              N-L     L
</span><span class="comment">*</span><span class="comment">                A = ( A11    A12 ) M,
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     then the following does the complete QR decomposition of A11:
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">              A11 = U*(  0  T12 )*P1'
</span><span class="comment">*</span><span class="comment">                      (  0   0  )
</span><span class="comment">*</span><span class="comment">
</span>      DO 70 I = 1, N - L
         IWORK( I ) = 0
   70 CONTINUE
      CALL <a name="SGEQPF.295"></a><a href="sgeqpf.f.html#SGEQPF.1">SGEQPF</a>( M, N-L, A, LDA, IWORK, TAU, WORK, INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Determine the effective rank of A11
</span><span class="comment">*</span><span class="comment">
</span>      K = 0
      DO 80 I = 1, MIN( M, N-L )
         IF( ABS( A( I, I ) ).GT.TOLA )
     $      K = K + 1
   80 CONTINUE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Update A12 := U'*A12, where A12 = A( 1:M, N-L+1:N )
</span><span class="comment">*</span><span class="comment">
</span>      CALL <a name="SORM2R.307"></a><a href="sorm2r.f.html#SORM2R.1">SORM2R</a>( <span class="string">'Left'</span>, <span class="string">'Transpose'</span>, M, L, MIN( M, N-L ), A, LDA,
     $             TAU, A( 1, N-L+1 ), LDA, WORK, INFO )
<span class="comment">*</span><span class="comment">
</span>      IF( WANTU ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Copy the details of U, and form U
</span><span class="comment">*</span><span class="comment">
</span>         CALL <a name="SLASET.314"></a><a href="slaset.f.html#SLASET.1">SLASET</a>( <span class="string">'Full'</span>, M, M, ZERO, ZERO, U, LDU )
         IF( M.GT.1 )
     $      CALL <a name="SLACPY.316"></a><a href="slacpy.f.html#SLACPY.1">SLACPY</a>( <span class="string">'Lower'</span>, M-1, N-L, A( 2, 1 ), LDA, U( 2, 1 ),
     $                   LDU )
         CALL <a name="SORG2R.318"></a><a href="sorg2r.f.html#SORG2R.1">SORG2R</a>( M, M, MIN( M, N-L ), U, LDU, TAU, WORK, INFO )
      END IF
<span class="comment">*</span><span class="comment">
</span>      IF( WANTQ ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Update Q( 1:N, 1:N-L )  = Q( 1:N, 1:N-L )*P1
</span><span class="comment">*</span><span class="comment">
</span>         CALL <a name="SLAPMT.325"></a><a href="slapmt.f.html#SLAPMT.1">SLAPMT</a>( FORWRD, N, N-L, Q, LDQ, IWORK )
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Clean up A: set the strictly lower triangular part of
</span><span class="comment">*</span><span class="comment">     A(1:K, 1:K) = 0, and A( K+1:M, 1:N-L ) = 0.
</span><span class="comment">*</span><span class="comment">
</span>      DO 100 J = 1, K - 1
         DO 90 I = J + 1, K
            A( I, J ) = ZERO
   90    CONTINUE
  100 CONTINUE
      IF( M.GT.K )
     $   CALL <a name="SLASET.337"></a><a href="slaset.f.html#SLASET.1">SLASET</a>( <span class="string">'Full'</span>, M-K, N-L, ZERO, ZERO, A( K+1, 1 ), LDA )
<span class="comment">*</span><span class="comment">
</span>      IF( N-L.GT.K ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        RQ factorization of ( T11 T12 ) = ( 0 T12 )*Z1
</span><span class="comment">*</span><span class="comment">
</span>         CALL <a name="SGERQ2.343"></a><a href="sgerq2.f.html#SGERQ2.1">SGERQ2</a>( K, N-L, A, LDA, TAU, WORK, INFO )
<span class="comment">*</span><span class="comment">
</span>         IF( WANTQ ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">           Update Q( 1:N,1:N-L ) = Q( 1:N,1:N-L )*Z1'
</span><span class="comment">*</span><span class="comment">
</span>            CALL <a name="SORMR2.349"></a><a href="sormr2.f.html#SORMR2.1">SORMR2</a>( <span class="string">'Right'</span>, <span class="string">'Transpose'</span>, N, N-L, K, A, LDA, TAU,
     $                   Q, LDQ, WORK, INFO )
         END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Clean up A
</span><span class="comment">*</span><span class="comment">
</span>         CALL <a name="SLASET.355"></a><a href="slaset.f.html#SLASET.1">SLASET</a>( <span class="string">'Full'</span>, K, N-L-K, ZERO, ZERO, A, LDA )
         DO 120 J = N - L - K + 1, N - L
            DO 110 I = J - N + L + K + 1, K
               A( I, J ) = ZERO
  110       CONTINUE
  120    CONTINUE
<span class="comment">*</span><span class="comment">
</span>      END IF
<span class="comment">*</span><span class="comment">
</span>      IF( M.GT.K ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        QR factorization of A( K+1:M,N-L+1:N )
</span><span class="comment">*</span><span class="comment">
</span>         CALL <a name="SGEQR2.368"></a><a href="sgeqr2.f.html#SGEQR2.1">SGEQR2</a>( M-K, L, A( K+1, N-L+1 ), LDA, TAU, WORK, INFO )
<span class="comment">*</span><span class="comment">
</span>         IF( WANTU ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">           Update U(:,K+1:M) := U(:,K+1:M)*U1
</span><span class="comment">*</span><span class="comment">
</span>            CALL <a name="SORM2R.374"></a><a href="sorm2r.f.html#SORM2R.1">SORM2R</a>( <span class="string">'Right'</span>, <span class="string">'No transpose'</span>, M, M-K, MIN( M-K, L ),
     $                   A( K+1, N-L+1 ), LDA, TAU, U( 1, K+1 ), LDU,
     $                   WORK, INFO )
         END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Clean up
</span><span class="comment">*</span><span class="comment">
</span>         DO 140 J = N - L + 1, N
            DO 130 I = J - N + K + L + 1, M
               A( I, J ) = ZERO
  130       CONTINUE
  140    CONTINUE
<span class="comment">*</span><span class="comment">
</span>      END IF
<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="SGGSVP.391"></a><a href="sggsvp.f.html#SGGSVP.1">SGGSVP</a>
</span><span class="comment">*</span><span class="comment">
</span>      END

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