A Reordering Heuristic for Accelerating the Convergence of the Solution of Some Large Sparse PDE Matrices on Structured Grids by the Krylov Subspace Methods with the ILUT Preconditioner

Author:

MA Sangback1

Affiliation:

1. Department of Computer Engineering, Hanyang University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Reference43 articles.

1. [1] W. Arnoldi, “The principle of minimized iteration in the solution of the matrix eigenvalue problem, ” Quart. Appl. Math., vol.9, pp.17-29, 1951.

2. [2] M. Benzi, D. Szyld, and A.V. Duin, “Orderings for incomplete factorization preconditioning of nonsymmetric problems, ” SIAM I. Sci. Comput., vol.20, pp.1652-1670, 1999.

3. [3] M. Benzi, C. Haws, and M. Tuma, “Preconditioning highly indefinite and nonsymmetric matrices, ” SIAM I. Sci. Comput., vol.22, pp.1333-1353, 2000.

4. [4] G. Behie and P. Forsythe, Jr., “Comparison of fast iterative methods for symmetric systems, ” IMA J. Numer. Anal, vol.3, pp.41-63, 1983.

5. [5] T. Chan, C.-C.J. Kuo, and C. Tong, “Parallel elliptic preconditioners: Fourier analysis and performance on the connection machine, ” Comput. Phys. Commun., vol.53, pp.237-252, 1989.

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