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.

引用

页数：2

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