On two-variable rational interpolation
On two-variable rational interpolation
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DOI：
10.1016/j.laa.2011.07.017
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发表时间：
2012-04-15
影响因子：
1.1
通讯作者：
Lefteriu, S.
中科院分区：
文献类型：
--
作者：
Antoulas, A. C.;Ionita, A. C.;Lefteriu, S.
本文的目的是研究二元有理函数的插值问题。该工具是双变量Loewner矩阵，这是其单变量对应的扩展。Loewner矩阵的主要性质是它的秩编码了关于最小复杂性插值的信息。多项式和广义状态空间（描述符）实现的插值。例子说明如何双变量有理函数可以从适当的测量恢复。(C)2011 Elsevier Inc. All rights reserved.
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.