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The Theories of a Novel Filled Function Method for Non-smooth Global Optimization

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Algorithmic Aspects in Information and Management (AAIM 2020)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12290))

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Abstract

This paper proposes a novel filled function method for non-smooth box constrained global optimization. The constructed filled function contains two parameters, which could be easily adjusted during the process of terations. The theoretical and numerical properties of the filled function are studied, and a filled function algorithm is given. Finally, several numerical results, including the application of the filled function method in solving nonlinear equations, are reported.

Supported by organization National Natural Science Foundation of China (No. 11471102), Basic research projects for key scientific research projects in Henan Province (No. 20ZX001).

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Acknowledgement

This work was supported by the NNSF of China (No. 11001248, 11001248, 51776116).

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Authors and Affiliations

  1. Shanghai Polytechnic University, Shanghai, 201209, China

    Wei-xiang Wang

  2. Henan University of Science and Technology, Luoyang, 471003, China

    You-lin Shang & Shuo Li

Authors
  1. Wei-xiang Wang
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  2. You-lin Shang
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  3. Shuo Li
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Corresponding author

Correspondence to You-lin Shang .

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Editors and Affiliations

  1. Zhejiang Normal University, Jinhua, China

    Zhao Zhang

  2. Texas Southern University, Houston, TX, USA

    Wei Li

  3. University of Texas at Dallas, Richardson, TX, USA

    Ding-Zhu Du

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Wang, Wx., Shang, Yl., Li, S. (2020). The Theories of a Novel Filled Function Method for Non-smooth Global Optimization. In: Zhang, Z., Li, W., Du, DZ. (eds) Algorithmic Aspects in Information and Management. AAIM 2020. Lecture Notes in Computer Science(), vol 12290. Springer, Cham. https://doi.org/10.1007/978-3-030-57602-8_34

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  • DOI: https://doi.org/10.1007/978-3-030-57602-8_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-57601-1

  • Online ISBN: 978-3-030-57602-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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