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| 一个解非线性方程组新的非单调自适应信赖域法 | |
| 引用本文： | 刘宁,马昌凤,唐江花,陈金雄.一个解非线性方程组新的非单调自适应信赖域法[J].数学杂志,2012,32(5):844-850. |
| 作者姓名： | 刘宁 马昌凤 唐江花 陈金雄 |
| 作者单位： | 1. 桂林电子科技大学数学与计算科学学院,广西桂林,541004 2. 桂林电子科技大学数学与计算科学学院,广西桂林541004;福建师范大学数学与计算机科学学院,福建福州350007 3. 武夷学院数学与计算机系,福建武夷山,354300 |
| 摘 要： | 本文利用函数平均权重的非单调技术以及自适应信赖域方法,提出一个解非线性方程组的非单调自适应信赖域法.并在适当假设条件下,讨论了算法的全局收敛性.数值试验表明了算法是有效的. |
| 关 键 词： | 非线性方程组 非单调技术 信赖域方法 全局收敛性 |
A NEW NONMONOTONE AUTOMATIC DETERMINATION TRUST REGION METHOD FOR NONLINEAR EQUATIONS |
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| LIU Ning , MA Chang-feng , TANG Jiang-hua , CHEN Jin-xiong.A NEW NONMONOTONE AUTOMATIC DETERMINATION TRUST REGION METHOD FOR NONLINEAR EQUATIONS[J].Journal of Mathematics,2012,32(5):844-850. | |
| Authors: | LIU Ning MA Chang-feng TANG Jiang-hua CHEN Jin-xiong |
| Institution: | 1.School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China)(2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China)(3.Dept.of Mathematics and Computer,Wuyi University,Wuyishan 354300,China) |
| Abstract: | In this article,by using the nonmonotonic techniques of weighted average of successive function values and the method of adaptive trust-region,a new nonmonotone automatic determination trust region method for nonlinear equations is presented.Under suitable suppose condition,the global convergence properties of this algorithm are given.Numerical experiments indicate that the algorithm is effective. |
| Keywords: | nonlinear equations the nonmonotonic techniques trust region method global convergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |