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Dergiler / Fundamental Journal of Mathematics and Applications / 2023 / Cilt: 6 Sayı: 3

A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities

Nurullah YILMAZ
Ayşegül KAYACAN
Sayfa
137–146
Yayın Tarihi
2023-09-30
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The new algorithm is applied to some numerical examples to show the efficiency of our algorithm.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, the system of nonlinear inequalities (SNI) problem is investigated.
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Temel Bulgular & Veri:First, a SNI is reformulated as a system of nonsmooth and nonlinear equations (SNNE).
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Sonuç & Katkı:The new algorithm is applied to some numerical examples to show the efficiency of our algorithm.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Iterative methods · Smoothing · System of non-linear inequalities.

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.

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Bu Makaleye Atıf Yap

YILMAZ, N., KAYACAN, A. (2023). A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities. Fundamental Journal of Mathematics and Applications, Cilt: 6 Sayı: 3, 137–146. https://ajindex.com/articles/964186

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