Numerical comparisons based on four smoothing functions for absolute value equation

B. Saheya, Cheng He Yu, Jein Shan Chen

研究成果: 雜誌貢獻期刊論文同行評審

10 引文 斯高帕斯(Scopus)

摘要

The system of absolute value equation, denoted by AVE, is a non-differentiable NP-hard problem. Many approaches have been proposed during the past decade and most of them focus on reformulating it as complementarity problem and then solve it accordingly. Another approach is to recast the AVE as a system of nonsmooth equations and then tackle with the nonsmooth equations. In this paper, we follow this path. In particular, we rewrite it as a system of smooth equations and propose four new smoothing functions along with a smoothing-type algorithm to solve the system of equations. The main contribution of this paper focuses on numerical comparisons which suggest a better choice of smoothing function along with the smoothing-type algorithm.

原文英語
頁(從 - 到)131-149
頁數19
期刊Journal of Applied Mathematics and Computing
56
發行號1-2
DOIs
出版狀態已發佈 - 2018 二月 1

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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