NEW SMOOTHING FUNCTIONS FOR SOLVING A SYSTEM OF EQUALITIES AND INEQUALITIES

Jein-Shan Chen, Chun-Hsu Ko, Yan-Di Liu, Sheng-Pen Wang

Research output: Contribution to journalJournal Article peer-review

Abstract

In this paper, we propose a family of new smoothing functions for solving a system of equalities and inequalities, which is a generalization of [13]. We then investigate an algorithm based on a new reformation (H) over cap with less dimensionality and show, as in [13], that it is globally and locally convergent under suitable assumptions. Numerical evidence shows the better performance of the algorithm in the sense that some unsolved examples in [13] can be solved by our proposed method. Moreover, the involved parameters in the family of new smoothing functions does not have influence in the algorithm, which is a new discovery to the literature.
Original languageAmerican English
Pages (from-to)185-206
JournalPACIFIC JOURNAL OF OPTIMIZATION
Volume12
Issue number1
StatePublished - 2016

Keywords

  • ALGORITHM
  • FINITE NUMBER
  • ITERATIONS
  • NONLINEAR INEQUALITIES
  • convergence
  • smoothing function
  • system of equations and inequalities

Fingerprint

Dive into the research topics of 'NEW SMOOTHING FUNCTIONS FOR SOLVING A SYSTEM OF EQUALITIES AND INEQUALITIES'. Together they form a unique fingerprint.

Cite this