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Research on Solving Systems of Nonlinear Equations Based on Improved PSO
Joint Authors
Li, Yugui
Wei, Yanxu
Chu, Yantao
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-16
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Solving systems of nonlinear equations is perhaps one of the most difficult problems in all of numerical computations, especially in a diverse range of engineering applications.
The convergence and performance characteristics can be highly sensitive to the initial guess of the solution for most numerical methods such as Newton’s method.
However, it is very difficult to select reasonable initial guess of the solution for most systems of nonlinear equations.
Besides, the computational efficiency is not high enough.
Aiming at these problems, an improved particle swarm optimization algorithm (imPSO) is proposed, which can overcome the problem of selecting reasonable initial guess of the solution and improve the computational efficiency.
The convergence and performance characteristics of this method are demonstrated through some standard systems.
The results show that the improved PSO for solving systems of nonlinear equations has reliable convergence probability, high convergence rate, and solution precision and is a successful approach in solving systems of nonlinear equations.
American Psychological Association (APA)
Li, Yugui& Wei, Yanxu& Chu, Yantao. 2015. Research on Solving Systems of Nonlinear Equations Based on Improved PSO. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1074593
Modern Language Association (MLA)
Li, Yugui…[et al.]. Research on Solving Systems of Nonlinear Equations Based on Improved PSO. Mathematical Problems in Engineering No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1074593
American Medical Association (AMA)
Li, Yugui& Wei, Yanxu& Chu, Yantao. Research on Solving Systems of Nonlinear Equations Based on Improved PSO. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1074593
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074593