| 无约束优化问题局部解的二阶充要条件(英文) |
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| 引用本文： | 刘浩瀚,刘志斌.无约束优化问题局部解的二阶充要条件(英文)[J].怀化学院学报,2009,28(2). |
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| 作者姓名： | 刘浩瀚 刘志斌 |
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| 作者单位： | 西南石油大学理学院,四川,成都610500 |
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| 摘 要： | 研究了与梯度和Hessen矩阵有关的无约束问题局部解的二阶充分条件和二阶必要条件,并在此基础上提出了一个与一阶方向导数和二阶方向导数有关的无约束问题局部解的充要条件,以及由此而产生的一个相关推论.
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| 关 键 词： | 局部解 梯度 Hessen矩阵 方向导数 |
A Second-order Necessary and Sufficient Condition of the Local Minimum Solution of Unconstrained Optimality Problem |
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| LIU Hao-han,LIU Zhi-bin.A Second-order Necessary and Sufficient Condition of the Local Minimum Solution of Unconstrained Optimality Problem[J].Journal of Huaihua University,2009,28(2). |
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| Authors: | LIU Hao-han LIU Zhi-bin |
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| Institution: | College of Sciences;Southwest Petroleum University;Chengdu;Sichuan 610500 |
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| Abstract: | This paper mainly studies the second-order necessary condition and sufficient condition of the local minimum solution of the unconstrained optimality problem.Based on the study,the paper produces a new theorem and a relative deduction related to the directional derivatives. |
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| Keywords: | local minimum solution gradient Hessian matrix directional derivative |
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