On a class of row preconditioners for solving linear systems

International Journal of Computer Mathematics

Volumn 83, Issue 12, 2006, Pages 939-949

  Wang, Li ^a  

^a NANJING NORMAL UNIVERSITY   (China)

Author keywords

AOR iterative method; Convergence; Preconditioner

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; PROBLEM SOLVING;

AOR ITERATIVE METHOD; CLASSICAL ITERATIVE METHODS; MONOTONE PROPERTIES; PRECONDITIONERS;

LINEAR SYSTEMS;

EID: 34547783247     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160601140299     Document Type: Article

References (12)

1. Hadjidimos, A., 1978, Accelerated overrelaxation method. Mathematics of Computation, 32, 149-157.
2. Evans, D.J., Martins, M.M. and Trigo, M.E., 2001, The AOR iterative method for new preconditioned linear systems. Journal of Computational and Applied Mathematics, 132, 461-466.
3. Gunawardena, A.D., Jain, S.K. and Snyder, L., 1991, Modified iterative methods for consistent linear systems. Linear Algebra and its Applications, 154-156, 123-143.
4. Hadjidimos, A., Noutsos, D. and Tzoumas, M., 2003, More on modifications and improvments of classical iterative schemes for M-matrices. Linear Algebra and its Application, 364, 253-279.
5. Kohno, T., Kotakemori, H., Niki, H. and Usui, M., 1997, Improving the Gauss-Seidel method for Z-matrices. Linear Algebra and its Applications, 267, 113-123.
6. Kotakemori, H., Niki, H. and Okamoto, N., 1996, Accelerated iterative method for Z-matrices. Journal of Computational and Applied Mathematics, 75, 87-97.
7. Li, W. and Sun, W.W., 2000, Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices. Linear Algebra and its Applications, 317, 227-240.
8. Li, W., 2002, Preconditioned AOR iterative methods for solving linear systems. International Journal of Computer Mathematics, 79, 89-101.
9. Wang, Z.D. and Huang, T.Z., The upper Jacobi and upper Gauss-Seidel type iterative methods for preconditioned linear systems. Applied Mathematics Letters (To appear).
10. Zhang, Y., Huang, T.Z. and Liu, X.P., 2005, Modified iterative methods for nonnegative matrices and M-matrices linear systems. Computers and Mathematics with Applications, 50, 1587-1602.
11. Varga, R.S., 1962, Matrix Iterative Analysis (Englewood Cliffs: Prentice-Hall).
12. Berman, A. and Plemmons, R.J., 1994, Nonnegative Matrices in the Mathematical Sciences (Philadelphia: Academic Press, SIAM).