MATRIX POLYNOMIAL SOLUTIONS OF TANGENTIAL LAGRANGE-SYLVESTER INTERPOLATION CONDITIONS OF LOW MCMILLAN DEGREE

被引：7
作者：
BALL, JA
KANG, J
机构：
[1] Department of Mathematics, Virginia Tech, Blacksburg
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1990年 / 137卷
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0024-3795(90)90145-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A matrix polynomial of Mcmillan degree n-1 which satisfies n tangential Lagrange interpolation conditions is constructed explicitly in realization form. Analogous results are given for more general bitangential Lagrange-Sylvester interpolation conditions. A corollary is a type of Euclidean algorithm for matrix polynomials and McMillan degree. The main tool is the recent parametrization of all matrix polynomial solutions of a set of Lagrange-Sylvester interpolation conditions due to Ball, Gohberg, and Rodman. © 1990.
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页码：699 / 746
页数：48
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