A new iterative method for solving linear systems

Applied Mathematics and Computation

Volumn 179, Issue 2, 2006, Pages 725-730

  Ujević, Nenad ^a  

^a UNIVERSITY OF SPLIT   (Croatia)

Author keywords

Gauss Seidel method; Iterative method; Linear system; Modification

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL METHODS; LINEAR SYSTEMS; MODIFICATION; NUMERICAL METHODS; PROBLEM SOLVING;

GAUSS SEIDEL METHOD; MODIFIED METHODS;

ITERATIVE METHODS;

EID: 33748092338     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.11.128     Document Type: Article

References (7)

1. Golub G.H., and Van Loan C.F. Matrix Computations (1996), The Johns Hopkins University Press, Baltimore and London
2. Hadjidimos A. Successive overrelaxation (SOR) and related methods. J. Comput. Appl. Math. 123 (2000) 177-199
3. Li W. The convergence of the modified Gauss-Seidel methods for consistent linear systems. J. Comput. Appl. Math. 154 (2003) 97-105
4. Li W. A note on the preconditioned Gauss-Seidel (GS) method for linear systems. J. Comput. Appl. Math. 182 (2005) 81-90
5. Li W., and Sun W. Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices. Lin. Alg. Appl. 317 (2000) 227-240
6. Niki H., Harada K., Morimoto M., and Sakakihara M. The survey of preconditioners used for accelerating the rate of convergence in the Gauss-Seidel method. J. Comput. Appl. Math. 164-165 (2004) 587-600
7. Özban A.Y. Improved convergence criteria for Jacobi and Gauss-Seidel iterations. Appl. Math. Comput. 152 3 (2004) 693-700