Scholarlink

<p>This paper presents a framework and a unified convergence analysis for derivative-free projection methods to solve large-scale constrained nonlinear equations. The framework combines the inertial extrapolation technique with the concept of approximate projections, thereby encompassing and generalising the results of previous studies. Additionally, we introduce a new function-based line search based on the stabilised Barzilai and Borwein method, as introduced by Burdakov et al. The framework further explores the impact of six distinct, well-known line search schemes on its overall performance. Through numerical experiments, we highlight the theoretical findings.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A Unified Derivative-Free Projection Framework for Convex-Constrained Nonlinear Equations

  • 期刊论文

  • 发表日期：

    2025年9月10日

查看全文
  • Abdulkarim Hassan Ibrahim,
  • Mohammed Alshahrani,
  • Suliman Al-Homidan

摘要

This paper presents a framework and a unified convergence analysis for derivative-free projection methods to solve large-scale constrained nonlinear equations. The framework combines the inertial extrapolation technique with the concept of approximate projections, thereby encompassing and generalising the results of previous studies. Additionally, we introduce a new function-based line search based on the stabilised Barzilai and Borwein method, as introduced by Burdakov et al. The framework further explores the impact of six distinct, well-known line search schemes on its overall performance. Through numerical experiments, we highlight the theoretical findings.