| 关于希氏空间平均样条插值的构造 |
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| 引用本文： | 韩国强.关于希氏空间平均样条插值的构造[J].计算数学,1989,11(2):212-219. |
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| 作者姓名： | 韩国强 |
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| 作者单位： | 中山大学计算机科学系 |
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| 摘 要： | 在实际问题中,尤其是统计问题,碰到的不一定是点态插值,而是要满足某种平均泛函条件.本文讨论算子样条积分平均插值,给出一种新的、计算稳定的求解算法.
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| 关 键 词： | 希氏空间 平均样条插值 新算法 |
THE CONTRUCTION FOR HISTOGRAM SPLINE INTERPOLATION OF HILBERT SPACE |
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| Institution: | Han Cuo-qiang Department of Computer Science, Zhongshan University |
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| Abstract: | In this paper, operator histogram spline interpolations are considered. By calculating theinner product of B-splines, a new stable computational method is obtained, can be easily car-ried out on a computer by solving a symmetric least band-width linear algebraic system. Espe-cially, this method is very simple for polynomial splines. Smoothing splines are consideredand similar results are obtained. |
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