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A new filled function method for an unconstrained nonlinear equation

✍ Scribed by Chengjun Wang; Ronghua Luo; Kun Wu; Boshun Han

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 248 KB
Volume: 235
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.09.010

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✦ Synopsis

a b s t r a c t

In this paper, we transform an unconstrained system of nonlinear equations into a special optimization problem. A new filled function is constructed by employing the special properties of the transformed optimization problem. Theoretical and numerical properties of the proposed filled function are investigated and a solution of the algorithm is proposed. Under some conditions, we can find a solution or an approximate solution to the system of nonlinear equations in finite iterations. The implementation of the algorithm on six test problems is reported with satisfactory numerical results.

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