Reducing the time that TRM requires to solve systems of nonlinear equations

Author:

H. Dwail Hasan,M. A. K. Shiker

Abstract

Abstract The trust region method is one of the important and effective ways to solve optimization problems due to its robust and accuracy in its convergence. One of its disadvantages is that its algorithm needs much time to solve its subproblems especially in the case of the problems that have a large-scale data. In this work, a new algorithm is suggested to solve this problem specifically subspace TRM. The initial TRR will be adequate to the subproblems which can be solved with a simple subspace, it will be simpler to solve than the classic TRM. The global convergence of the new method is investigated. The numerical results indicated that the new approach is promising.

Publisher

IOP Publishing

Subject

General Medicine

Reference17 articles.

1. The Convergence of Subspace Trust Region Methods;Zhen;Journal of Computational and Applied Mathematics,2009

2. A New Nonmonotone Adaptive Trust Region Method Based on Simple Quadratic Models;Qunyan;Journal of Applied Math. Comput.,2012

3. A New Nonmonotone Self-Adaptive Trust Region Method for Unconstrained Optimization;Zhaoyang;J Appl Math Comput,2011

4. A new modified TR algorithm with adaptive radius to solve a nonlinear systems of equations;Dwail,2020

5. A new hybrid CGM for unconstrained optimization problems;Wasi,2020

Cited by 28 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. New conjugate gradient formula for unconstrained optimization;AIP Conference Proceedings;2024

2. Using Markov Models And Fault Tree For Finding The Reliability Of Some Engineering Problems;2023 6th International Conference on Engineering Technology and its Applications (IICETA);2023-07-15

3. Solving Bi-Objective Reliability Optimization Problem of Mixed System by Firefly Algorithm;2023 6th International Conference on Engineering Technology and its Applications (IICETA);2023-07-15

4. A new technique for modifying the Hungarian method;INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021;2023

5. A new technique to solve the maximization of the transportation problems;INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021;2023

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3