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On accelerated iterative methods for the solution of systems of linear equations
- Publication Year :
- 2002
- Publisher :
- Taylor & Francis Ltd, 2002.
-
Abstract
- WOS: 000176035700009 In literature, it has been reported that the convergence of some preconditioned stationary iterative methods using certain type upper triangular matrices as preconditioners are faster than the basic iterative methods. In this paper, a new preconditioned iterative method for the numerical solution of linear systems has been introduced, and the convergence analysis of the proposed method and an existing one have been done. Some numerical examples have also been given, which show the effectiveness of both of the methods.
- Subjects :
- Mathematical optimization
convergence
Iterative method
Applied Mathematics
nonnegative matrices
Linear system
MathematicsofComputing_NUMERICALANALYSIS
Relaxation (iterative method)
Stone method
System of linear equations
stationary iterative methods
Computer Science::Numerical Analysis
Computer Science Applications
Local convergence
Computational Theory and Mathematics
Successive over-relaxation
Applied mathematics
Gauss–Seidel method
irreducible matrices
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....510ade2abc13ad237590803412af8ced