On the complexity of sparse QR and LU factorization of finite-element matrices
Journal Article
·
· SIAM J. Sci. Stat. Comput.; (United States)
Let A be an n x n sparse nonsingular matrix derived from a two-dimensional finite-element mesh. If the matrix is symmetric and positive definite, and a nested dissection ordering is used, then the Cholesky factorization of A can be computed using O(n/sup 3/2/) arithmetic operations, and the number of nonzeros in the Cholesky factor is O(n log n). In this article the authors show that the same complexity bounds can be attained when A is nonsymmetric and indefinite, and either Gaussian elimination with partial pivoting or orthogonal factorization is applied. Numerical experiments for a sequence of irregular mesh problems are provided.
- Research Organization:
- Oak Ridge National Lab., Oak Ridge, TN (US)
- OSTI ID:
- 6637443
- Journal Information:
- SIAM J. Sci. Stat. Comput.; (United States), Vol. 9:5
- Country of Publication:
- United States
- Language:
- English
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