On two-variable rational interpolation

被引：32
作者：
Antoulas, A. C. [1 ]
Ionita, A. C.
Lefteriu, S.
机构：
[1] Rice Univ, Dept Elect & Comp Engn, Houston, TX 77005 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 436卷 / 08期
关键词：
Multivariate rational interpolation; Two-variable rational functions; Lagrange bases; Loewner matrix; Generalized (descriptor) realizations; Parametrized systems and model reduction; REALIZATION; SYSTEMS; HANKEL;
D O I：
10.1016/j.laa.2011.07.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this contribution is to investigate interpolation of two-variable rational functions. The tool is the two-variable Loewner matrix, which is an extension of its single-variable counterpart. The main property of the Loewner matrix is that its rank encodes the information concerning minimal complexity interpolants. Both polynomial and generalized state-space (descriptor) realizations of interpolants are presented. Examples illustrate how two-variable rational functions can be recovered from appropriate measurements. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：2889 / 2915
页数：27
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