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被以下文章引用:
标题: 一个求解非线性方程组问题的LS算法A LS Algorithm for Nonlinear Equations
作者: 黄玲花
关键字: 方程组, 共轭梯度, 收敛性Nonlinear Equations, Conjugate Gradient, Convergence
期刊名称: 《Advances in Applied Mathematics》, Vol.5 No.4, 2016-11-30
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。 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.