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Convergent Homotopy Analysis Method for Solving Linear Systems
Joint Authors
Source
Advances in Numerical Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-08
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
By using homotopy analysis method (HAM), we introduce an iterative method for solving linear systems.
This method (HAM) can be used to accelerate the convergence of the basic iterative methods.
We also show that by applying HAM to a divergent iterative scheme, it is possible to construct a convergent homotopy-series solution when the iteration matrix G of the iterative scheme has particular properties such as being symmetric, having real eigenvalues.
Numerical experiments are given to show the efficiency of the new method.
American Psychological Association (APA)
Nasabzadeh, H.& Toutounian, F.. 2013. Convergent Homotopy Analysis Method for Solving Linear Systems. Advances in Numerical Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-494276
Modern Language Association (MLA)
Nasabzadeh, H.& Toutounian, F.. Convergent Homotopy Analysis Method for Solving Linear Systems. Advances in Numerical Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-494276
American Medical Association (AMA)
Nasabzadeh, H.& Toutounian, F.. Convergent Homotopy Analysis Method for Solving Linear Systems. Advances in Numerical Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-494276
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494276