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

页码：2889 / 2915

页数：27

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