A mixed approach for nonlinear equations based on simple smooth penalty function and filled function

Weixiang Wang; Youlin Shang; Liansheng Zhang

doi:10.1117/12.836876

10 July 2009 A mixed approach for nonlinear equations based on simple smooth penalty function and filled function

Weixiang Wang, Youlin Shang, Liansheng Zhang

Proceedings Volume 7490, PIAGENG 2009: Intelligent Information, Control, and Communication Technology for Agricultural Engineering; 749017 (2009) https://doi.org/10.1117/12.836876
Event: International Conference on Photonics and Image in Agriculture Engineering (PIAGENG 2009), 2009, Zhangjiajie, China

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.

Citation Download Citation

Weixiang Wang, Youlin Shang, and Liansheng Zhang "A mixed approach for nonlinear equations based on simple smooth penalty function and filled function", Proc. SPIE 7490, PIAGENG 2009: Intelligent Information, Control, and Communication Technology for Agricultural Engineering, 749017 (10 July 2009); https://doi.org/10.1117/12.836876

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