| 引用本文: | 张新建,卢世荣.带任意泛函约束的多项式再生核的计算.[J].国防科技大学学报,2008,30(3):128-130, 135.[点击复制] |
| ZHANG Xinjian,LU Shirong.Computing Polynomial Reproducing Kernels with Arbitrary Functional Constrains[J].Journal of National University of Defense Technology,2008,30(3):128-130, 135[点击复制] |
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| 带任意泛函约束的多项式再生核的计算 |
| 张新建, 卢世荣 |
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(国防科技大学 理学院，湖南 长沙 410073)
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| 摘要: |
| 讨论多项式再生核的构造与计算，指出了带任意泛函约束的多项式再生核可由带初值约束的再生核取两次投影余项而得到，并建立了具体的计算方法。 |
| 关键词: 多项式再生核 约束泛函 Green函数 投影余项 |
| DOI： |
| 投稿日期：2007-10-25 |
| 基金项目:国防科技大学基础研究项目资助 |
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| Computing Polynomial Reproducing Kernels with Arbitrary Functional Constrains |
| ZHANG Xinjian, LU Shirong |
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(College of Science, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| In this paper ,the structure properties and computational methods for Polynomial Reproducing Kernels are discussed. It is proved that polynomial reproducing kernels with arbitrary functional constraints can be obtained via the projective remainders of reproducing kernels with initial value constraints. Specific algorithms for computing polynomial reproducing kernels are given. |
| Keywords: polynomial reproducing kernel functional constrain Green function projective remainders |
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