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来自「famous linear algebra library (LAPACK) p」· HTML 代码 · 共 292 行 · 第 1/2 页
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$ ( ABS( VB11R )+ABS( VB12 ) ) ) THEN
CALL <a name="SLARTG.131"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( -UA11R, UA12, CSQ, SNQ, R )
ELSE
CALL <a name="SLARTG.133"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( -VB11R, VB12, CSQ, SNQ, R )
END IF
ELSE
CALL <a name="SLARTG.136"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( -VB11R, VB12, CSQ, SNQ, R )
END IF
<span class="comment">*</span><span class="comment">
</span> CSU = CSL
SNU = -SNL
CSV = CSR
SNV = -SNR
<span class="comment">*</span><span class="comment">
</span> ELSE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Compute the (2,1) and (2,2) elements of U'*A and V'*B,
</span><span class="comment">*</span><span class="comment"> and (2,2) element of |U|'*|A| and |V|'*|B|.
</span><span class="comment">*</span><span class="comment">
</span> UA21 = -SNL*A1
UA22 = -SNL*A2 + CSL*A3
<span class="comment">*</span><span class="comment">
</span> VB21 = -SNR*B1
VB22 = -SNR*B2 + CSR*B3
<span class="comment">*</span><span class="comment">
</span> AUA22 = ABS( SNL )*ABS( A2 ) + ABS( CSL )*ABS( A3 )
AVB22 = ABS( SNR )*ABS( B2 ) + ABS( CSR )*ABS( B3 )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> zero (2,2) elements of U'*A and V'*B, and then swap.
</span><span class="comment">*</span><span class="comment">
</span> IF( ( ABS( UA21 )+ABS( UA22 ) ).NE.ZERO ) THEN
IF( AUA22 / ( ABS( UA21 )+ABS( UA22 ) ).LE.AVB22 /
$ ( ABS( VB21 )+ABS( VB22 ) ) ) THEN
CALL <a name="SLARTG.163"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( -UA21, UA22, CSQ, SNQ, R )
ELSE
CALL <a name="SLARTG.165"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( -VB21, VB22, CSQ, SNQ, R )
END IF
ELSE
CALL <a name="SLARTG.168"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( -VB21, VB22, CSQ, SNQ, R )
END IF
<span class="comment">*</span><span class="comment">
</span> CSU = SNL
SNU = CSL
CSV = SNR
SNV = CSR
<span class="comment">*</span><span class="comment">
</span> END IF
<span class="comment">*</span><span class="comment">
</span> ELSE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Input matrices A and B are lower triangular matrices
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Form matrix C = A*adj(B) = ( a 0 )
</span><span class="comment">*</span><span class="comment"> ( c d )
</span><span class="comment">*</span><span class="comment">
</span> A = A1*B3
D = A3*B1
C = A2*B3 - A3*B2
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> The SVD of real 2-by-2 triangular C
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> ( CSL -SNL )*( A 0 )*( CSR SNR ) = ( R 0 )
</span><span class="comment">*</span><span class="comment"> ( SNL CSL ) ( C D ) ( -SNR CSR ) ( 0 T )
</span><span class="comment">*</span><span class="comment">
</span> CALL <a name="SLASV2.194"></a><a href="slasv2.f.html#SLASV2.1">SLASV2</a>( A, C, D, S1, S2, SNR, CSR, SNL, CSL )
<span class="comment">*</span><span class="comment">
</span> IF( ABS( CSR ).GE.ABS( SNR ) .OR. ABS( CSL ).GE.ABS( SNL ) )
$ THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Compute the (2,1) and (2,2) elements of U'*A and V'*B,
</span><span class="comment">*</span><span class="comment"> and (2,1) element of |U|'*|A| and |V|'*|B|.
</span><span class="comment">*</span><span class="comment">
</span> UA21 = -SNR*A1 + CSR*A2
UA22R = CSR*A3
<span class="comment">*</span><span class="comment">
</span> VB21 = -SNL*B1 + CSL*B2
VB22R = CSL*B3
<span class="comment">*</span><span class="comment">
</span> AUA21 = ABS( SNR )*ABS( A1 ) + ABS( CSR )*ABS( A2 )
AVB21 = ABS( SNL )*ABS( B1 ) + ABS( CSL )*ABS( B2 )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> zero (2,1) elements of U'*A and V'*B.
</span><span class="comment">*</span><span class="comment">
</span> IF( ( ABS( UA21 )+ABS( UA22R ) ).NE.ZERO ) THEN
IF( AUA21 / ( ABS( UA21 )+ABS( UA22R ) ).LE.AVB21 /
$ ( ABS( VB21 )+ABS( VB22R ) ) ) THEN
CALL <a name="SLARTG.216"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( UA22R, UA21, CSQ, SNQ, R )
ELSE
CALL <a name="SLARTG.218"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( VB22R, VB21, CSQ, SNQ, R )
END IF
ELSE
CALL <a name="SLARTG.221"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( VB22R, VB21, CSQ, SNQ, R )
END IF
<span class="comment">*</span><span class="comment">
</span> CSU = CSR
SNU = -SNR
CSV = CSL
SNV = -SNL
<span class="comment">*</span><span class="comment">
</span> ELSE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> Compute the (1,1) and (1,2) elements of U'*A and V'*B,
</span><span class="comment">*</span><span class="comment"> and (1,1) element of |U|'*|A| and |V|'*|B|.
</span><span class="comment">*</span><span class="comment">
</span> UA11 = CSR*A1 + SNR*A2
UA12 = SNR*A3
<span class="comment">*</span><span class="comment">
</span> VB11 = CSL*B1 + SNL*B2
VB12 = SNL*B3
<span class="comment">*</span><span class="comment">
</span> AUA11 = ABS( CSR )*ABS( A1 ) + ABS( SNR )*ABS( A2 )
AVB11 = ABS( CSL )*ABS( B1 ) + ABS( SNL )*ABS( B2 )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment"> zero (1,1) elements of U'*A and V'*B, and then swap.
</span><span class="comment">*</span><span class="comment">
</span> IF( ( ABS( UA11 )+ABS( UA12 ) ).NE.ZERO ) THEN
IF( AUA11 / ( ABS( UA11 )+ABS( UA12 ) ).LE.AVB11 /
$ ( ABS( VB11 )+ABS( VB12 ) ) ) THEN
CALL <a name="SLARTG.248"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( UA12, UA11, CSQ, SNQ, R )
ELSE
CALL <a name="SLARTG.250"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( VB12, VB11, CSQ, SNQ, R )
END IF
ELSE
CALL <a name="SLARTG.253"></a><a href="slartg.f.html#SLARTG.1">SLARTG</a>( VB12, VB11, CSQ, SNQ, R )
END IF
<span class="comment">*</span><span class="comment">
</span> CSU = SNR
SNU = CSR
CSV = SNL
SNV = CSL
<span class="comment">*</span><span class="comment">
</span> END IF
<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="SLAGS2.267"></a><a href="slags2.f.html#SLAGS2.1">SLAGS2</a>
</span><span class="comment">*</span><span class="comment">
</span> END
</pre>
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