Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 235, Issue 6, Pages 1689-1699Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2010.09.010
Keywords
Filled function; Local minimizer; Global minimizer; Filled function method; System of nonlinear equations
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Funding
- National Natural Science Foundation of China [10571116]
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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. Crown Copyright (C) 2010 Published by Elsevier B.V. All rights reserved.
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