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Livre :
Expressions régulières,
Syntaxe et mise en oeuvre :
GNU/Linux |
CentOS 4.8 |
i386 |
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slags2(l) |
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SLAGS2 - compute 2-by-2 orthogonal matrices U, V and Q, such that if ( UPPER ) then U’*A*Q = U’*( A1 A2 )*Q = ( x 0 ) ( 0 A3 ) ( x x ) and V’*B*Q = V’*( B1 B2 )*Q = ( x 0 ) ( 0 B3 ) ( x x ) or if ( .NOT.UPPER ) then U’*A*Q = U’*( A1 0 )*Q = ( x x ) ( A2 A3 ) ( 0 x ) and V’*B*Q = V’*( B1 0 )*Q = ( x x ) ( B2 B3 ) ( 0 x ) The rows of the transformed A and B are parallel, where U = ( CSU SNU ), V = ( CSV SNV ), Q = ( CSQ SNQ ) ( -SNU CSU ) ( -SNV CSV ) ( -SNQ CSQ ) Z’ denotes the transpose of Z
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SUBROUTINE SLAGS2( |
UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ ) | ||
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LOGICAL |
UPPER | ||
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REAL |
A1, A2, A3, B1, B2, B3, CSQ, CSU, CSV, SNQ, SNU, SNV |
SLAGS2 computes 2-by-2 orthogonal matrices U, V and Q, such that if ( UPPER ) then U’*A*Q = U’*( A1 A2 )*Q = ( x 0 ) ( 0 A3 ) ( x x ) and V’*B*Q = V’*( B1 B2 )*Q = ( x 0 ) ( 0 B3 ) ( x x ) or if ( .NOT.UPPER ) then U’*A*Q = U’*( A1 0 )*Q = ( x x ) ( A2 A3 ) ( 0 x ) and V’*B*Q = V’*( B1 0 )*Q = ( x x ) ( B2 B3 ) ( 0 x ) The rows of the transformed A and B are parallel, where U = ( CSU SNU ), V = ( CSV SNV ), Q = ( CSQ SNQ ) ( -SNU CSU ) ( -SNV CSV ) ( -SNQ CSQ ) Z’ denotes the transpose of Z.
UPPER (input) LOGICAL
= .TRUE.: the input matrices A
and B are upper triangular.
= .FALSE.: the input matrices A and B are lower
triangular.
A1 (input) REAL
A2 (input) REAL A3 (input) REAL On entry, A1, A2 and A3 are elements of the input 2-by-2 upper (lower) triangular matrix A.
B1 (input) REAL
B2 (input) REAL B3 (input) REAL On entry, B1, B2 and B3 are elements of the input 2-by-2 upper (lower) triangular matrix B.
CSU (output) REAL
SNU (output) REAL The desired orthogonal matrix U.
CSV (output) REAL
SNV (output) REAL The desired orthogonal matrix V.
CSQ (output) REAL
SNQ (output) REAL The desired orthogonal matrix Q.
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slags2(l) | |