An application of Cauchy matrices in Nevanlinna-Pick interpolation problem

摘要：

This paper is concerned with an application of Cauchy matrices to a certain Nevanlinna-Pick (NP) interpolation problem. A surprising simple description of the full set of solutions to the NP interpolation problem is obtained in terms of the original Nevanlirma-Pick (NP) interpolation data. The strategy adopted here is based on the reduction of the NP interpolation indicated to a realization of the rational function b(z) / a(z), where a(z) and b(z) are a pair of annihilator polynomials.

关键词： Cauchy matriz Nevanlinna-Pick interpolation rational function

作者: Jianguo Qin Ruimei Tan

作者单位: Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 912-915

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）