| 单侧广义Hessian与广义泰勒展式 |
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| 引用本文： | 李洪旭. 单侧广义Hessian与广义泰勒展式[J]. 四川大学学报(自然科学版), 2007, 44(1): 11-16 |
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| 作者姓名： | 李洪旭 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 摘 要： | 利用连续Gteaux可微函数的单侧广义Hessian建立了广义泰勒展式，并由此给出一个二阶优化条件．本文的结果包含了一些已有结果．
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| 关 键 词： | 单侧广义Hessian 极小弱逼近Hessian 二阶Dini方向导数 二阶优化条件 |
| 文章编号： | 0490-6756（2007）01-0011-06 |
| 修稿时间： | 2004-12-032006-01-10 |
Unilateral generalized Hessians and generalized Taylor's expansions |
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| LI Hong-xu. Unilateral generalized Hessians and generalized Taylor's expansions[J]. Journal of Sichuan University (Natural Science Edition), 2007, 44(1): 11-16 |
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| Authors: | LI Hong-xu |
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| Affiliation: | College of Mathematics, Sichuan University |
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| Abstract: | A generalized Taylor's expansion is presented in terms of unilateral generalized Hessians which are introduced in this paper for continuously G(a)teaux differentiable functions. As an application, we give a second-order sufficient optimal condition. Our results include some known results. |
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| Keywords: | unilateral generalized Hessian minimal weak approximate Hessian second-order Dini directional |
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