青岛大学学报（自然科学版）2025，Vol.38Issue(2)：4-9,6.DOI:10.3969/j.issn.1006-1037.2025.02.02
求解信赖域子问题的Newton-GMRES方法
Newton-GMRES Method for Solving Trust Region Subproblems
摘要
Abstract
In order to solve the trust region subproblem Newton-GMRES algorithm was constructed with a new smooth approximation function,complementary model of sub-problem was converted into an equivalent system of equations.The inexact Newton meth-od was combined with the GMRES algorithm to obtain the Newton-GMRES algorithm for solving trust region subproblems.The convergence and well-posedness of the algorithm was proved under certain conditions.Numerical experimental results show that the algo-rithm is practicable and effective.关键词
信赖域子问题/非精确牛顿法/光滑函数/全局收敛Key words
trust region subproblem/inexact Newton method/smooth function/global convergence分类
数理科学引用本文复制引用
殷婉如,芮绍平..求解信赖域子问题的Newton-GMRES方法[J].青岛大学学报（自然科学版）,2025,38(2):4-9,6.基金项目
安徽省教育厅自然科学研究项目(批准号:2023AH050348,2023ZK027,2023ZK030)资助 （批准号:2023AH050348,2023ZK027,2023ZK030）
安徽省高校人才项目(批准号:RE230439)资助. （批准号:RE230439）
