冯仁忠,梁学章,徐淳宁.Rs空间中的Lagrange插值[J].数学研究及应用,2003,23(3):503~509 |
Rs空间中的Lagrange插值 |
Lagrange Interpolation in Rs |
投稿时间:2001-04-03 |
DOI:10.3770/j.issn:1000-341X.2003.03.021 |
中文关键词: Lagrange插值 适定结点组 沿超曲面插值 |
英文关键词:lagrange interpolations properly posed set of nodes interpolation along hyper-surface. |
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摘要点击次数: 2018 |
全文下载次数: 1172 |
中文摘要: |
本文给出了构造空间πsn中Lagrange插值适定结点组的添加超平面法以及构造沿无重复分量代数超曲面插值适定结点组的添加超平面法,从而弄清楚了这两种适定结点组间的几何结构。 |
英文摘要: |
In the paper, we give a hypersurface-superposition process and a hyperplane-su-perposition process to construct a properly posed set of nodes for Lagrange interpolation in space πsn, and a properly posed set of nodes for Lagrange interpolation along a hypersurface without multiple factors, respectively, and then find out the geometric structure between the two kinds of properly posed sets of nodes. |
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