GNU/Linux |
CentOS 4.8 |
i386 |
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zgtsv(l) |
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ZGTSV - solve the equation A*X = B,
SUBROUTINE ZGTSV( |
N, NRHS, DL, D, DU, B, LDB, INFO ) |
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INTEGER |
INFO, LDB, N, NRHS |
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COMPLEX*16 |
B( LDB, * ), D( * ), DL( * ), DU( * ) |
ZGTSV solves the equation A*X = B, where A is an N-by-N tridiagonal matrix, by Gaussian elimination with partial pivoting.
Note that the equation A’*X = B may be solved by interchanging the order of the arguments DU and DL.
N (input) INTEGER
The order of the matrix A. N >= 0.
NRHS (input) INTEGER
The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
DL (input/output) COMPLEX*16 array, dimension (N-1)
On entry, DL must contain the (n-1) subdiagonal elements of A. On exit, DL is overwritten by the (n-2) elements of the second superdiagonal of the upper triangular matrix U from the LU factorization of A, in DL(1), ..., DL(n-2).
D (input/output) COMPLEX*16 array, dimension (N)
On entry, D must contain the diagonal elements of A. On exit, D is overwritten by the n diagonal elements of U.
DU (input/output) COMPLEX*16 array, dimension (N-1)
On entry, DU must contain the (n-1) superdiagonal elements of A. On exit, DU is overwritten by the (n-1) elements of the first superdiagonal of U.
B (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
On entry, the N-by-NRHS right hand side matrix B. On exit, if INFO = 0, the N-by-NRHS solution matrix X.
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, U(i,i) is exactly zero, and the
solution has not been computed. The factorization has not
been completed unless i = N.
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zgtsv(l) | ![]() |