求解非线性不等式系统的一种新的平滑算法

Fundamental Journal of Mathematics and Applications Pub Date : 2023-06-19 DOI:10.33401/fujma.1261409

Nurullah Yilmaz, Aysegul Kayacan

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摘要

本文研究了系统非线性不等式(SNI)问题。首先，对“$\max$”函数提出了一种新的平滑技术。然后，将平滑技术与迭代法相结合，提出了一种新的平滑算法来求解SNI问题。通过数值算例验证了该算法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities

In this study, the system of nonlinear inequalities (SNI) problem is investigated. First, a new smoothing technique for the ``$\max$'' function is proposed. Then, a new smoothing algorithm is developed in order to solve SNI 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.

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Fundamental Journal of Mathematics and Applications

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