有理插值问题不适定的根本原因

• 作者: 盛中平
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 关键词: rational interpolation well-posed property degree of binding binding function
• 年，卷（期）: 2001,（3）
• 页码范围: 227-236
• 页数: 10页
• 分类号: O241.3
• 字数: 8442字
• 语种: 中文
• DOI: 10.3969/j.issn.1000-081X.2001.03.004

摘要

In this paper, we define several concepts about rational function, such as degree of binding and relative degree of binding, and reveal three phenomena that degree of binding or relative degree of binding can be equal to, less than or greater than degree of freedom in the rational interpolating problem. We introduce binding function of the rational interpolating problem, prove its existence and uniqueness, hence constructively grasp all the ill-posed or well posed cases of the rational interpolating problem.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	盛中平	东北师范大学数学系	17	81	4.0	8.0