A fresh look at nonsmooth Levenberg–Marquardt methods with applications to bilevel optimization

IF 1.6 3区 数学 Q2 MATHEMATICS, APPLIED Optimization Pub Date : 2024-03-12 DOI:10.1080/02331934.2024.2313688
Lateef O. Jolaoso, Patrick Mehlitz, Alain B. Zemkoho
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Abstract

In this paper, we revisit the classical problem of solving over-determined systems of nonsmooth equations numerically. We suggest a nonsmooth Levenberg–Marquardt method for its solution which, in c...
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重新审视非光滑 Levenberg-Marquardt 方法在双层优化中的应用
在本文中,我们重新探讨了用数值方法求解过定非光滑方程组的经典问题。我们提出了一种非光滑的 Levenberg-Marquardt 方法来求解该方程组,该方法在...
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来源期刊
Optimization
Optimization 数学-应用数学
CiteScore
4.50
自引率
9.10%
发文量
146
审稿时长
4.5 months
期刊介绍: Optimization publishes refereed, theoretical and applied papers on the latest developments in fields such as linear, nonlinear, stochastic, parametric, discrete and dynamic programming, control theory and game theory. A special section is devoted to review papers on theory and methods in interesting areas of mathematical programming and optimization techniques. The journal also publishes conference proceedings, book reviews and announcements. All published research articles in this journal have undergone rigorous peer review, based on initial editor screening and anonymous refereeing by independent expert referees.
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