A Nonmonotone Trust Region Method for Solving Symmetric Nonlinear Equations 被引量：3

A Nonmonotone Trust Region Method for Solving Symmetric Nonlinear Equations

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摘要 A trust region method combining with nonmonotone technique is proposed tor solving symmetric nonlinear equations. The global convergence of the given method will be established under suitable conditions. Numerical results show that the method is interesting for the given problems.

作者 YUAN Gong-lin WEI Zeng-xin LU Xi-wen

机构地区 College of Mathematics and Information Science School of Science

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第4期574-584,共11页 数学季刊（英文版）

基金 Supported by SF of Guangxi University(X061041) Supported by NSF of China(10761001)

关键词 trust region method nonlinear equations nonmonotone technique 非线性方程方程组求解信赖域法非单调对称全局收敛计算结果

分类号 O241.7 [理学—计算数学] O151.1 [理学—基础数学]

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参考文献4

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二级参考文献52

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共引文献40

1吴国正,王发杰,程隋福,张成鑫.基于物理信息神经网络的内部声场正反问题数值计算[J].计算物理,2022,39(6):687-698. 被引量：2
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7杨柳,陈艳萍.求解非线性方程组的一种新的全局收敛的Levenberg-Marquardt算法[J].计算数学,2008,30(4):388-396. 被引量：55
8张华仁,李维国.一个结合信赖域技术的修正的Levenberg-Marquardt方法[J].数值计算与计算机应用,2009,30(3):186-194. 被引量：6
9余芝云,陈争,马昌凤.求解对称非线性方程组基于信赖域的修正牛顿法[J].福建师范大学学报（自然科学版）,2010,26(1):22-27. 被引量：5
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同被引文献8

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3袁功林,韦增欣,鲁习文.一个修改的求解非线性对称方程组的高斯-牛顿BFGS方法(英文)[J].广西科学,2006,13(4):288-292. 被引量：5
4袁功林,鲁习文,韦增欣.解无约束优化问题的新的两点步长梯度方法(英文)[J].湘潭大学自然科学学报,2007,29(1):13-15. 被引量：7
5袁功林,鲁习文,韦增欣.具有全局收敛性的求解对称非线性方程组的一个修改的信赖域方法[J].计算数学,2007,29(3):225-234. 被引量：4
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8韦增欣,袁功林,连志钢.解非线性对称方程组问题的近似高斯-牛顿基础BFGS方法(英文)[J].广西科学,2004,11(2):91-99. 被引量：8

引证文献3

1Xiangrong Li,Xupei Zhao.A Gauss-Newton-Based Broyden’s Class Algorithm for Parameters of Regression Analysis[J].Applied Mathematics,2011,2(1):39-46.
2Gonglin Yuan,Laisheng Yu.A Nonmonotone Line Search Method for Symmetric Nonlinear Equations[J].Intelligent Control and Automation,2010,1(1):28-35.
3Gong-Lin Yuan,Cui-Ling Chen,Zeng-Xin Wei.A nonmonotone adaptive trust-region algorithm for symmetric nonlinear equations[J].Natural Science,2010,2(4):373-378.

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7Yan-fei Wang Ya-xiang Yuan(LSEC, ICMSEC, Academy of Mathematics and System Sciences, Chinese Academy of Sciences,Beijing 100080, China).A TRUST REGION METHOD FOR SOLVING DISTRIBUTED PARAMETER IDENTIFICATION PROBLEMS[J].Journal of Computational Mathematics,2003,21(6):759-772. 被引量：2
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9Zhang Liping Lai Yanlian Institute of Applied Mathematics,Academia Sinica,Beijing 100080..A GLOBALLY AND SUPERLINEARLY CONVERGENT TRUST REGION METHOD FOR LC^1 OPTIMIZATION PROBLEMS[J].Applied Mathematics(A Journal of Chinese Universities),2001,16(1):72-80. 被引量：1
10Lijuan ZHAO,Wenyu SUN,Raimundo J. B. de SAMPAIO.Nonmonotone adaptive trust region method based on simple conic model for unconstrained optimization[J].Frontiers of Mathematics in China,2014,9(5):1211-1238. 被引量：3

Chinese Quarterly Journal of Mathematics

2009年第4期

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