A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations

• 作者: Gonglin YUAN Zengxin WEI Zhongxing WANG
• 来源期刊: 通讯、网络与系统学国际期刊(英文)
• 学科: 数学
• 关键词: Rank-One UPDATE Global CONVERGENCE Nonlinear EQUATIONS DESCENT Direction
• 年，卷（期）: 2009,（6）
• 页码范围: 555-561
• 页数: 7页
• 分类号: O1

摘要

In this paper, a rank-one updated method for solving symmetric nonlinear equations is proposed. This method possesses some features: 1) The updated matrix is positive definite whatever line search technique is used;2) The search direction is descent for the norm function;3) The global convergence of the given method is established under reasonable conditions. Numerical results show that the presented method is interesting.