Evolutionary Method for Nonlinear Systems of Equations

  • Crina Grosan
  • Ajith Abraham
  • Alexander Gelbukh
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4293)


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.


Nonlinear System Pareto Front Multiobjective Optimization Problem Secant Method Nondominated Solution 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Crina Grosan
    • 1
  • Ajith Abraham
    • 2
  • Alexander Gelbukh
    • 3
  1. 1.Department of Computer ScienceBabeş-Bolyai UniversityCluj-NapocaRomania
  2. 2.IITA Professorship Program, School of Computer Science and EngineeringYonsei UniversitySeoulKorea
  3. 3.Centro de Investigación en Computación (CIC)Instituto Politécnico Nacional (IPN)Mexico

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