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Alternating stationary iterative methods based on double splittings
- Source :
- Computers & Mathematics with Applications. 89:87-98
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- Matrix double splitting iterations are simple in implementation while solving real non-singular (rectangular) linear systems. In this paper, we present two Alternating Double Splitting (ADS) schemes formulated by two double splittings and then alternating the respective iterations. The convergence conditions are then discussed along with comparative analysis. The set of double splittings used in each ADS scheme induces a preconditioned system which helps in showing the convergence of the ADS schemes. We also show that the classes of matrices for which one ADS scheme is better than the other, are mutually exclusive. Numerical experiments confirm that the proposed ADS schemes have several computational advantages over the existing methods. Though the problems are considered in the rectangular matrix settings, the same problems are even new in non-singular matrix settings.
- Subjects :
- Iterative method
Linear system
010103 numerical & computational mathematics
Mutually exclusive events
01 natural sciences
010101 applied mathematics
Set (abstract data type)
Computational Mathematics
Matrix (mathematics)
Computational Theory and Mathematics
Simple (abstract algebra)
Modeling and Simulation
Scheme (mathematics)
Convergence (routing)
Applied mathematics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 08981221
- Volume :
- 89
- Database :
- OpenAIRE
- Journal :
- Computers & Mathematics with Applications
- Accession number :
- edsair.doi...........d64825d3435778ca658bfe9b85a19035