GNU/Linux |
CentOS 4.8 |
i386 |
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spttrf(l) |
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SPTTRF - compute the L*D*L’ factorization of a real symmetric positive definite tridiagonal matrix A
SUBROUTINE SPTTRF( |
N, D, E, INFO ) |
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INTEGER |
INFO, N |
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REAL |
D( * ), E( * ) |
SPTTRF computes the L*D*L’ factorization of a real symmetric positive definite tridiagonal matrix A. The factorization may also be regarded as having the form A = U’*D*U.
N (input) INTEGER
The order of the matrix A. N >= 0.
D (input/output) REAL array, dimension (N)
On entry, the n diagonal elements of the tridiagonal matrix A. On exit, the n diagonal elements of the diagonal matrix D from the L*D*L’ factorization of A.
E (input/output) REAL array, dimension (N-1)
On entry, the (n-1) subdiagonal elements of the tridiagonal matrix A. On exit, the (n-1) subdiagonal elements of the unit bidiagonal factor L from the L*D*L’ factorization of A. E can also be regarded as the superdiagonal of the unit bidiagonal factor U from the U’*D*U factorization of A.
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -k, the k-th argument had an illegal value
> 0: if INFO = k, the leading minor of order k is not
positive definite; if k < N, the factorization could not
be completed, while if k = N, the factorization was
completed, but D(N) = 0.
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spttrf(l) | ![]() |