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Two-Step Relaxation Newton Method for Nonsymmetric Algebraic Riccati Equations Arising from Transport Theory
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We propose a new idea to construct an effective algorithm to compute the minimal positive solution of the nonsymmetric algebraic Riccati equations arising from transport theory.
For a class of these equations, an important feature is that the minimal positive solution can be obtained by computing the minimal positive solution of a couple of fixed-point equations with vector form.
Based on the fixed-point vector equations, we introduce a new algorithm, namely, two-step relaxation Newton, derived by combining two different relaxation Newton methods to compute the minimal positive solution.
The monotone convergence of the solution sequence generated by this new algorithm is established.
Numerical results are given to show the advantages of the new algorithm for the nonsymmetric algebraic Riccati equations in vector form.
American Psychological Association (APA)
Wu, Shu-Lin& Huang, Chengming. 2009. Two-Step Relaxation Newton Method for Nonsymmetric Algebraic Riccati Equations Arising from Transport Theory. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-497773
Modern Language Association (MLA)
Wu, Shu-Lin& Huang, Chengming. Two-Step Relaxation Newton Method for Nonsymmetric Algebraic Riccati Equations Arising from Transport Theory. Mathematical Problems in Engineering No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-497773
American Medical Association (AMA)
Wu, Shu-Lin& Huang, Chengming. Two-Step Relaxation Newton Method for Nonsymmetric Algebraic Riccati Equations Arising from Transport Theory. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-497773
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497773