青岛大学学报（自然科学版）2024，Vol.37Issue(2)：3-9,21,8.DOI:10.3969/j.issn.1006-1037.2024.02.02
一种求解非线性方程组的有效Levenberg-Marquardt算法
An Effective Levenberg-Marquardt Algorithm for Solving Systems of Nonlinear Equations
摘要
Abstract
A new effective Levenberg-Marquardt algorithm for solving systems of nonlinear equations,namely AMLM algorithm was presented by modifying LM parameters,combining nonmonotone technique and trust region technique.The local fast convergence of the AMLM algorithm was proved under the local error bound condition.Numerical results show that the AMLM algorithm is stable and effective.关键词
LM参数/非单调技术/信赖域技术/Levenberg-Marquardt算法Key words
LM parameter/nonmonotone technique/trust region technique/Levenberg-Marquardt algorithm分类
数理科学引用本文复制引用
韩扬,芮绍平..一种求解非线性方程组的有效Levenberg-Marquardt算法[J].青岛大学学报（自然科学版）,2024,37(2):3-9,21,8.基金项目
安徽省教育厅自然科学研究项目(批准号:2023 AH050348,2023ZK027,2023ZK030)资助. （批准号:2023 AH050348,2023ZK027,2023ZK030）
