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Proceedings Paper

A mixed approach for nonlinear equations based on simple smooth penalty function and filled function
Author(s): Weixiang Wang; Youlin Shang; Liansheng Zhang
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Paper Abstract

In the paper, we proposed a novel mixed approach for system of nonlinear equations based on simple smooth penalty function method and filled function method. First, we transform the problem of nonlinear equations into a global optimization problem. Then, we use the filled function method to minimize the constructed simple smooth penalty function. Under some mild assumptions, we can get a global optimizer of the penalty problem if the penalty parameter is sufficiently large. By this way, a root of the system of nonlinear equations can be obtained.

Paper Details

Date Published: 10 July 2009
PDF: 8 pages
Proc. SPIE 7490, PIAGENG 2009: Intelligent Information, Control, and Communication Technology for Agricultural Engineering, 749017 (10 July 2009); doi: 10.1117/12.836876
Show Author Affiliations
Weixiang Wang, Shanghai Second Polytechnic Univ. (China)
Youlin Shang, Henan Univ. of Science and Technology (China)
Liansheng Zhang, Shanghai Univ. (China)


Published in SPIE Proceedings Vol. 7490:
PIAGENG 2009: Intelligent Information, Control, and Communication Technology for Agricultural Engineering
Honghua Tan; Qi Luo, Editor(s)

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