| 引用本文: | 张新建.Lg 光顺样条函数的递推建立法.[J].国防科技大学学报,1990,12(3):32-38.[点击复制] |
| Zhang Xinjian.On the Construction of Lg-Smoothing Splines[J].Journal of National University of Defense Technology,1990,12(3):32-38[点击复制] |
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| Lg 光顺样条函数的递推建立法 |
| 张新建 |
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(系统工程与应用数学系)
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| 摘要: |
| 本文讨论了Lg光顺样条函数的投影理论，从投影理论出发得到了Lg光顺样条函数的递推建立法，通过一组特殊的基底使 Anselone P M 等人关于光顺样条函数的构造法(见《Numer Math.》.1968，No.12)得到了简化。 |
| 关键词: 样条函数，递推，算法，Lg光顺样条函数，投影，共轭算子，基底 |
| DOI： |
| 投稿日期：1989-04-04 |
| 基金项目: |
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| On the Construction of Lg-Smoothing Splines |
| Zhang Xinjian |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| In this paper，the projection theory of Lg-smoothing splines is discussed. Based on it a recursive algorithm is derived for Lg-smoothing splines. The method for the construction of Lg-smootbing splines in paper [1] is simplified by a special basis. |
| Keywords: splines,recursion,algorithm,Lg-smoothing splines,projection,adjoint operator,basis |
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