A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities-Reference-Cited by-同舟云学术

A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities

Published:2023-09-30 Issue:3 Volume:6 Page:137-146
ISSN:2645-8845
Container-title:Fundamental Journal of Mathematics and Applications
language:
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Author:

YILMAZ Nurullah¹^ORCID,KAYACAN Ayşegül²^ORCID

Affiliation:

1. Süleyman Demirel University

2. SÜLEYMAN DEMİREL ÜNİVERSİTESİ

Abstract

In this study, the system of nonlinear inequalities (SNI) problem is investigated. First, a SNI is reformulated as a system of nonsmooth and nonlinear equations (SNNE). Second, a new smoothing technique for the "$\max$" function is proposed and the smoothing technique is employed for each element of the SNNE. Then, a new smoothing algorithm is developed in order to solve SNNE by combining the smoothing technique with the iterative method. The new algorithm is applied to some numerical examples to show the efficiency of our algorithm.

Publisher

Fundamental Journal of Mathematics and Applications

Subject

Materials Chemistry

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