| 使用非单调技术的不精确预条件牛顿类方法解非线性方程组 |
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| 引用本文： | 朱德通.使用非单调技术的不精确预条件牛顿类方法解非线性方程组[J].运筹学学报,2003,7(3):10-20. |
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| 作者姓名： | 朱德通 |
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| 作者单位： | 上海师范大学数学系,上海,200234 |
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| 基金项目： | ’The author gratefully acknowledges the partial supports of the Chinese National Science The author gratefully acknowledges the partial supports of the Chinese National Science Foundation Grant (10071050)，the Science Foundation Grant (02ZA14070)，Shang |
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| 摘 要： | 本文提供了预条件不精确牛顿型方法结合非单调技术解光滑的非线性方程组．在合理的条件下证明了算法的整体收敛性．进一步，基于预条件收敛的性质，获得了算法的局部收敛速率，并指出如何选择势序列保证预条件不精确牛顿型的算法局部超线性收敛速率．
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| 关 键 词： | 不精确牛顿法 非单调技术 非线性方程组 全局收敛性 收敛速率 势序列 |
Globally Convergent Analysis of Preconditional Inexact Newton-like Methods with Nonmonotone Technique for Solving Equations |
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| DETONG ZHU.Globally Convergent Analysis of Preconditional Inexact Newton-like Methods with Nonmonotone Technique for Solving Equations[J].OR Transactions,2003,7(3):10-20. |
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| Authors: | DETONG ZHU |
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| Abstract: | This paper proposes preconditional inexact Newton-like methods in association with nonmonotone technique for solving smooth equations. Global convergences of the proposed algorithms are established under the reasonable conditions. Furthermore, this paper characterizes the order of local convergence based on convergence behaviour of precon-dioner and indicates how to choose a forcing sequence which preserves the rapid locally convergent rates of the preconditional inexact Newton-like methods. |
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| Keywords: | OR nonmonotone technique inexact Newton-like methods nonlinear equations |
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