Error Estimator for Continued Fraction Approximation of Linear Dynamical System

被引：1
|
作者：
Hiruma, Shingo [1 ]
Clenet, Stephane [2 ]
Igarashi, Hajime [3 ]
机构：
[1] Kyoto Univ, Grad Sch Engn, Kyoto, Japan
[2] Univ Lille, Arts & Metiers Inst Technol, Lille, France
[3] Hokkaido Univ, Grad Sch Informat Sci & Technol, Sapporo, Hokkaido, Japan
来源：
TWENTIETH BIENNIAL IEEE CONFERENCE ON ELECTROMAGNETIC FIELD COMPUTATION (IEEE CEFC 2022) | 2022年
关键词：
Cauer ladder network (CLN); continued fraction; dynamical systems; error estimation; model order reduction (MOR);
D O I：
10.1109/CEFC55061.2022.9940814
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Cauer ladder network (CLN) method, which enables to approximate the eddy current problems by a Cauer circuit, can be generalized to the continued fraction approximation of a transfer function of a finite dimensional linear dynamical system. A new error estimator for the continued fraction approximation is proposed in the paper, which provides guaranteed upper bounds of the error of reduction.
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页数：2
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