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Livre :
Expressions régulières,
Syntaxe et mise en oeuvre :
GNU/Linux |
CentOS 4.8 |
i386 |
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ztrsyl(l) |
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ZTRSYL - solve the complex Sylvester matrix equation
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SUBROUTINE ZTRSYL( |
TRANA, TRANB, ISGN, M, N, A, LDA, B, LDB, C, LDC, SCALE, INFO ) | ||
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CHARACTER |
TRANA, TRANB | ||
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INTEGER |
INFO, ISGN, LDA, LDB, LDC, M, N | ||
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DOUBLE |
PRECISION SCALE | ||
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COMPLEX*16 |
A( LDA, * ), B( LDB, * ), C( LDC, * ) |
ZTRSYL solves
the complex Sylvester matrix equation:
op(A)*X + X*op(B) = scale*C or
op(A)*X - X*op(B) = scale*C,
where op(A) = A or A**H, and A and B are both upper triangular. A is M-by-M and B is N-by-N; the right hand side C and the solution X are M-by-N; and scale is an output scale factor, set <= 1 to avoid overflow in X.
TRANA (input) CHARACTER*1
Specifies the option op(A):
= ’N’: op(A) = A (No transpose)
= ’C’: op(A) = A**H (Conjugate transpose)
TRANB (input) CHARACTER*1
Specifies the option op(B):
= ’N’: op(B) = B (No transpose)
= ’C’: op(B) = B**H (Conjugate transpose)
ISGN (input) INTEGER
Specifies the sign in the
equation:
= +1: solve op(A)*X + X*op(B) = scale*C
= -1: solve op(A)*X - X*op(B) = scale*C
M (input) INTEGER
The order of the matrix A, and the number of rows in the matrices X and C. M >= 0.
N (input) INTEGER
The order of the matrix B, and the number of columns in the matrices X and C. N >= 0.
A (input) COMPLEX*16 array, dimension (LDA,M)
The upper triangular matrix A.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(1,M).
B (input) COMPLEX*16 array, dimension (LDB,N)
The upper triangular matrix B.
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).
C (input/output) COMPLEX*16 array, dimension (LDC,N)
On entry, the M-by-N right hand side matrix C. On exit, C is overwritten by the solution matrix X.
LDC (input) INTEGER
The leading dimension of the array C. LDC >= max(1,M)
SCALE (output) DOUBLE PRECISION
The scale factor, scale, set <= 1 to avoid overflow in X.
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
= 1: A and B have common or very close eigenvalues;
perturbed values were used to solve the equation (but the
matrices A and B are unchanged).
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ztrsyl(l) | |