11 July 2009 A mixed approach for nonlinear equations based on simple smooth penalty function and filled function
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Proceedings Volume 7490, PIAGENG 2009: Intelligent Information, Control, and Communication Technology for Agricultural Engineering; 749017 (2009); doi: 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.
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Weixiang Wang, Youlin Shang, 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 (11 July 2009); doi: 10.1117/12.836876; http://dx.doi.org/10.1117/12.836876
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Complex systems

Radon

Distributed interactive simulations

Agriculture

Communication engineering

Current controlled current source

Information and communication technologies

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