Estimation of Condition Number of Quasi-Static Darwin Model

Hiruma, Shingo; Mifune, Takeshi; Matsuo, Tetsuji

IEEE Transactions on Magnetics, 2024, 60(12), 1-4

Permalink : https://hdl.handle.net/2115/99316

このアイテムのアクセス数:17件（2026-08-15 07:59 集計）

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論文情報

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アクセス権
open access
URI
https://hdl.handle.net/2115/99316
タイトル
Estimation of Condition Number of Quasi-Static Darwin Model
著者
Hiruma, Shingo ; Mifune, Takeshi ; Matsuo, Tetsuji
ORCID
0000-0002-9399-5822
著者名
Hiruma, Shingo
ORCID
0000-0003-4112-7254
著者名
Mifune, Takeshi
ORCID
0000-0001-9416-1566
著者名
Matsuo, Tetsuji
言語
英語
発行日
2024-12
出版者
Institute of Electrical and Electronics Engineers (IEEE)
収録物名
IEEE Transactions on Magnetics
巻(号)
60(12)
ページ
1-4
抄録
This study discusses the estimation of the condition number of the quasi-static Darwin model, which is shown to be a nearly singular system of equations with a large kernel derived from the gauge invariance of full Maxwell’s equations. Inequality evaluations for a minimum nonzero singular value, maximum singular value, and condition number for a nearly singular system of equations and its augmented system are provided. This discussion reveals the nearly singular nature of the Darwin model and proves the effectiveness of the augmented system method for solving the Darwin model.
資源タイプ
学術雑誌論文
出版タイプ
Accepted Manuscript
権利情報
© 2024 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
PISSN
0018-9464
EISSN
1941-0069
関連情報 (isVersionOf)
出版社版DOI
https://doi.org/10.1109/tmag.2024.3464113