| 引用本文: | 张新建,姜悦.再生核的一种新的计算法及其递推性.[J].国防科技大学学报,2007,29(1):122-125.[点击复制] |
| ZHANG Xinjian,JIANG Yue.A New Method and Recursion for Computing Reproducing Kernels[J].Journal of National University of Defense Technology,2007,29(1):122-125[点击复制] |
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| 再生核的一种新的计算法及其递推性 |
| 张新建, 姜悦 |
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(国防科技大学 理学院，湖南 长沙 410073)
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| 摘要: |
| 利用函数带积分余项的Taylor公式很自然地给出了Wm2［a,b］空间的内积；基于这个内积，用Green函数得到再生核简洁的表达式，并用矩阵讨论了再生核计算的递推关系。 |
| 关键词: 再生核 Hilbert空间 Green函数 递推 |
| DOI： |
| 投稿日期：2006-07-06 |
| 基金项目: |
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| A New Method and Recursion for Computing Reproducing Kernels |
| ZHANG Xinjian, JIANG Yue |
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(College of Science, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| By using the Taylor expansion with an integral remainder, an appropriate inner product for the space Wm2［a，b］were introduced. Based on this inner product, simple formulas for computing reproducing kernels were obtained by using the Green's function and recursive relationships for computing reproducing kernels were also discussed. |
| Keywords: reproducing kernel hilbert space green function recursion |
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