带极点的有理样条函数  

Rational Spline Function with Prescribed Poles

作　　者：谭高山[1] 

机构地区：[1]安徽工业大学数理学院,马鞍山243000

出　　处：《科学技术与工程》2008年第6期1387-1389,1397,共4页Science Technology and Engineering

摘　　要：主要研究带极点有理样条函数空间——R3,2(2)(Δ;U4),不仅证明了样条函数的存在唯一性,而且还给出了其计算方法。该方法利用Gershgorin定理,由追赶法求解,解法稳定。The spline based on the space of rational function with prescribed poles is studied. The existence and uniqueness of the rational spline interpolation functions with prescribed poles are proved, the method of computation is given. Moreover, the method has been obtained easily from the theory of Gershgorin, The algorithm, which is given by the theory, is stable, because it is solved by chasing method.

关 键 词：带极点有理空间 C^1类分片有理插值 带极点有理样条 边界条件 

分 类 号：O174.41[理学—数学]