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

A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations
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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. 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.
作者 Gonglin YUAN Zhongxing WANG Zengxin WEI
机构地区 不详
出处 《International Journal of Communications, Network and System Sciences》 2009年第6期555-561,共7页 通讯、网络与系统学国际期刊（英文）
关键词 Rank-One UPDATE Global CONVERGENCE Nonlinear EQUATIONS DESCENT Direction Rank-One Update Global Convergence Nonlinear Equations Descent Direction
分类号 O1 [理学—基础数学]
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共引文献23

International Journal of Communications, Network and System Sciences
2009年 第6期

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