修正的Cramer奇论及其在多元插值中的应用  

On corrected Cramer strange proposition and its application in multivariate interpolation

作　　者：崔利宏[1] 高静华[2] 刘汉香 

机构地区：[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

出　　处：《辽宁师范大学学报（自然科学版）》2010年第3期295-298,共4页Journal of Liaoning Normal University:Natural Science Edition

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.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.

关 键 词：Cramer奇论 适定结点组 代数曲线 

分 类 号：O241.3[理学—计算数学]