Geometric views of the generalized Fischer-Burmeister function and its induced merit function

Huai Yin Tsai, Jein Shan Chen

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we study geometric properties of surfaces of the generalized Fischer-Burmeister function and its induced merit function. Then, a visualization is proposed to explain how the convergent behaviors are influenced by two descent directions in merit function approach. Based on the geometric properties and visualization, we have more intuitive ideas about how the convergent behavior is affected by changing parameter. Furthermore, geometric view indicates how to improve the algorithm to achieve our goal by setting proper value of the parameter in merit function approach.

Original languageEnglish
Pages (from-to)31-59
Number of pages29
JournalApplied Mathematics and Computation
Volume237
DOIs
Publication statusPublished - 2014 Jun 15

Keywords

  • Curvature
  • Level curve
  • Merit function
  • NCP-function
  • Surface

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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