| 论邓-王定理 |
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| 引用本文： | LAURENCE DIXON. 论邓-王定理[J]. 运筹学学报, 2000, 4(3): 42-48 |
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| 作者姓名： | LAURENCE DIXON |
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| 作者单位： | 英国Hertfordshire大学数值优化中心 |
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| 基金项目： | For the revised versions see [2], [3]. |
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| 摘 要： | 对王曾叙述了并证明了若干重要定理,本文给出在稍稍不同条件下的类似定理的更简单的证明,讨论这些定理的含义、作用并予以推广。
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| 关 键 词： | 邓－王定理 条件预优共轭梯度法 无约束最优化 |
| 修稿时间： | 2000-05-26 |
On the Deng-Wang Theorems |
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| LAURENCE DIXON. On the Deng-Wang Theorems[J]. OR Transactions, 2000, 4(3): 42-48 |
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| Authors: | LAURENCE DIXON |
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| Affiliation: | LAURENCE DIXON(Numerical Optirnisation Centre, University of Hertfordshire Hatfield, England) |
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| Abstract: | Deng and Wang state and prove a number of important theorems. In this paper my intension is to give simpler proofs of similar theorems under slightly diferent assumptions, discuss the implications and then extend the results. |
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| Keywords: | Deng-Wang theorems Preconditioned conjugate gradiant method Unconstrained minimization. |
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