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 |
(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 |
(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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