A Novel Filled Function Method for Nonlinear Equations | Zendy

L. C. L. Yuan | Zendy; Qiuhua Tang | Zendy

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A Novel Filled Function Method for Nonlinear Equations

Author(s) -

L. C. L. Yuan,

Qiuhua Tang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/247519

Subject(s) - nonlinear system , function (biology) , mathematical optimization , mathematics , global optimization , optimization problem , computer science , algorithm , physics , quantum mechanics , evolutionary biology , biology

A novel filled function method is suggested for solving box-constrained systems of nonlinear equations. Firstly, the original problem is converted into an equivalent global optimization problem. Subsequently, a novel filled function with one parameter is proposed for solving the converted global optimization problem. Some properties of the filled function are studied and discussed. Finally, an algorithm based on the proposed novel filled function for solving systems of nonlinear equations is presented. The objective function value can be reduced by quarter in each iteration of our algorithm. The implementation of the algorithm on several test problems is reported with satisfactory numerical results

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