一个求解非线性方程组问题的LS算法
A LS Algorithm for Nonlinear Equations
DOI: 10.12677/AAM.2016.54093, PDF, HTML, XML, 下载: 1,855  浏览: 5,306 
作者: 黄玲花：广西财经学院信息与统计学院，广西 南宁
关键词: 方程组；共轭梯度；收敛性；Nonlinear Equations； Conjugate Gradient； Convergence
摘要: 本文给出一个求解非线性方程组问题的LS算法，该方法具有如下特点：1) 搜索方向自动满足充分下降性；2) 方向具有信赖域的特征；3) 算法拥有全局收敛性；4) 数值结果表明新方法是有效的。
Abstract: This paper presents a LS conjugate gradient algorithm for nonlinear equations and the given algorithm has the following features: 1) the search direction satisfies the sufficient descent property; 2) the direction also has the trust region property; 3) the proposed algorithm possesses the global convergence; 4) numerical results show that the new algorithm is effective.
文章引用：黄玲花. 一个求解非线性方程组问题的LS算法[J]. 应用数学进展, 2016, 5(4): 813-817. http://dx.doi.org/10.12677/AAM.2016.54093

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