| 拟可微方程组牛顿法的二次收敛性 |
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| 引用本文： | 于淼,高岩.拟可微方程组牛顿法的二次收敛性[J].上海理工大学学报,2009,31(4). |
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| 作者姓名： | 于淼 高岩 |
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| 作者单位： | 上海理工大学,管理学院,上海,200093 |
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| 基金项目： | 国家自然科学基金资助项目，上海市重点学科建设资助项目 |
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| 摘 要： | 利用拟微分讨论了拟可微方程组的牛顿法和不精确牛顿法.引入了拟可微函数的拟强半光滑性.在拟强半光滑的前提下,证明了牛顿法和不精确牛顿法的二次收敛性.
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| 关 键 词： | 拟可微方程组 拟强半光滑 牛顿法 不精确牛顿法 二次收敛 |
Newton methods for quasidifferentiable equations and their quadratic convergence |
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| YU Mlao,GAO Yan.Newton methods for quasidifferentiable equations and their quadratic convergence[J].Journal of University of Shanghai For Science and Technology,2009,31(4). |
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| Authors: | YU Mlao GAO Yan |
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| Institution: | Business School;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | The Newton method and the inexact Newton method for solving quasidifferentiable equations via the quasidifferentiation were investigated.The notion of strong Q-semismoothness for a quasidifferentiable function was proposed.The quadratic convergence of the Newton method and inexact Newton method was proved under the strong Q-semismoothness assumption. |
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| Keywords: | quasidifferentiable equations strong Q-semismoothness newton method inexact newton methods quadratic convergence |
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