Evolutionary Method for Nonlinear Systems of Equations | Zendy

Crina Groşan | Zendy; Ajith Abraham | Zendy; Alexander Gelbukh | Zendy

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Evolutionary Method for Nonlinear Systems of Equations

Author(s) -

Crina Groşan,

Ajith Abraham,

Alexander Gelbukh

Publication year - 2006

Publication title -

lecture notes in computer science

Language(s) - English

Resource type - Book series

SCImago Journal Rank - 0.249

H-Index - 400

eISSN - 1611-3349

pISSN - 0302-9743

ISBN - 3-540-49026-4

DOI - 10.1007/11925231_27

Subject(s) - nonlinear system , computer science , computation , mathematical optimization , evolutionary computation , mathematics , evolutionary algorithm , perspective (graphical) , algorithm , artificial intelligence , physics , quantum mechanics

We propose a new perspective for solving systems of nonlinear equations by viewing them as a multiobjective optimization problem where every equation represents an objective function whose goal is to minimize the difference between the right- and left-hand side of the corresponding equation of the system. An evolutionary computation technique is suggested to solve the problem obtained by transforming the system into a multiobjective optimization problem. Results obtained are compared with some of the well-established techniques used for solving nonlinear equation systems.

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