- Title
- A new auxiliary function method for systems of nonlinear equations
- Creator
- Wu, Zhiyou; Bai, Fusheng; Li, Guoquan; Yang, Yongjian
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/72218
- Identifier
- vital:6883
- Identifier
-
https://doi.org/10.3934/jimo.2015.11.345
- Identifier
- ISSN:1547-5816
- Abstract
- In this paper, we present a new global optimization method to solve nonlinear systems of equations. We reformulate given system of nonlinear equations as a global optimization problem and then give a new auxiliary function method to solve the reformulated global optimization problem. The new auxiliary function proposed in this paper can be a filled function, a quasifilled function or a strict filled function with appropriately chosen parameters. Several numerical examples are presented to illustrate the effciency of the present approach.
- Publisher
- American Institute of Mathematical Sciences
- Relation
- Journal of Industrial and Management Optimization Vol. 11, no. 2 (2014), p. 345-364
- Rights
- © American Institute of Mathematical Sciences
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Auxiliary function method; Global optimization problems; Nonlinear equations
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