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| 修正的Cramer奇论及其在多元插值中的应用 | |
| 引用本文： | 崔利宏,高静华,刘汉香. 修正的Cramer奇论及其在多元插值中的应用[J]. 辽宁师范大学学报(自然科学版), 2010, 33(3) |
| 作者姓名： | 崔利宏 高静华 刘汉香 |
| 作者单位： | 1. 辽宁师范大学数学学院,辽宁,大连,116029 2. 大连交通大学基础部,辽宁,大连,116028 3. 瓦房店市第八高级中学数学组,辽宁,大连,116300 |
| 摘 要： | 指出文献[1]中Cramer奇论的不完备之处,并加以修正,同时使用插值法对修正后的Cramer奇论给出证明.利用修正后的Cramer奇论,得到了构造沿平面代数曲线插值适定结点组的一种迭加方法,该方法推广了文献[2]中的主要结果,同时给出2个实例. |
| 关 键 词： | Cramer奇论 适定结点组 代数曲线 |
On corrected Cramer strange proposition and its application in multivariate interpolation |
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| CUI Li-hong,GAO Jing-hua,LIU Han-xiang. On corrected Cramer strange proposition and its application in multivariate interpolation[J]. Journal of Liaoning Normal University(Natural Science Edition), 2010, 33(3) | |
| Authors: | CUI Li-hong GAO Jing-hua LIU Han-xiang |
| Affiliation: | CUI Li-hong1,GAO Jing-hua2,LIU Han-xiang3(1.School of Mathematics,Liaoning Normal University,Dalian 116029,China,2.Department of Basic Courses,Dalian Jiaotong University,Dalian 116028,3.The Eighth High Senior School in the City of Wafengdian,Dalian 116300,China) |
| Abstract: | In this paper,we indicate some incomplete of the Cramer Strange Proposition in [1] correct the Proposition and prove it by interpolation method.Using the amended Cramer Strange Proposition,some general methods of constructing properly posed set of nodes for interpolation along a plane algebraic curve are acquired,The main resucts in [2] are extended by this methed and some examples of application are also given. |
| Keywords: | Cramer strange proposition properly posed set of nodes algebraic curve |
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