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制約付き悪条件連立1次方程式の解法
https://fukuyama-u.repo.nii.ac.jp/records/8108
https://fukuyama-u.repo.nii.ac.jp/records/81086a7f9472-ef81-4505-9506-706c933feda9
名前 / ファイル | ライセンス | アクション |
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KJ00005781493.pdf (581.2 kB)
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Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||
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公開日 | 2002-12-01 | |||||
タイトル | ||||||
タイトル | 制約付き悪条件連立1次方程式の解法 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | An Algorithm for Computing Ill Conditioned Simultaneous Equations with Constraints | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 連立1次方程式 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 制約条件 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 最大傾斜法 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 収束値 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 最適解 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 悪条件 | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Simultaneous linear equations | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Constraints | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Steepest decent method | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Converged values | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Optimum solution | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Ill condition | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ページ属性 | ||||||
内容記述タイプ | Other | |||||
内容記述 | P(論文) | |||||
著者名(日) |
小林, 富士男
× 小林, 富士男× 尾関, 孝史× 石川, 洋 |
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著者名よみ | ||||||
識別子Scheme | WEKO | |||||
識別子 | 43459 | |||||
姓名 | コバヤシ, フジオ | |||||
著者名よみ | ||||||
識別子Scheme | WEKO | |||||
識別子 | 43460 | |||||
姓名 | オゼキ, タカシ | |||||
著者名よみ | ||||||
識別子Scheme | WEKO | |||||
識別子 | 43461 | |||||
姓名 | イシカワ, ヒロシ | |||||
著者名(英) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 43462 | |||||
姓名 | KOBAYASHI, Fujio | |||||
言語 | en | |||||
著者名(英) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 43463 | |||||
姓名 | OZEKI, Takashi | |||||
言語 | en | |||||
著者名(英) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 43464 | |||||
姓名 | ISHIKAWA, Hiroshi | |||||
言語 | en | |||||
著者所属(日) | ||||||
値 | 福山大学工学部情報処理工学科 | |||||
著者所属(日) | ||||||
値 | 福山大学工学部情報処理工学科 | |||||
著者所属(日) | ||||||
値 | 福山大学工学部情報処理工学科 | |||||
著者所属(英) | ||||||
言語 | en | |||||
値 | Department of Information Processing Engineering, Faculty of Engineering, Fukuyama University | |||||
著者所属(英) | ||||||
言語 | en | |||||
値 | Department of Information Processing Engineering, Faculty of Engineering, Fukuyama University | |||||
著者所属(英) | ||||||
言語 | en | |||||
値 | Department of Information Processing Engineering, Faculty of Engineering, Fukuyama University | |||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | The steepest descent method has been often used to solve simultaneous equations encountered in engineering problems, especially in the case of ill conditioned and the rate of convergence is very slow. If we calculate with finite figures in the method, there is a certain risk of obtaining erroneous results which do not converge to the true solution. In this paper, an algorithm for computing the constrained simultaneous equations in terms of the converged values obtained previously by the steepest descent method is described in detail. Last, two examples are presented which are the applications of this method. The one is related to simultaneous linear equations which is ill conditioned. The other is concerned in particular problem which deals with simultaneous linear equations composed of measured values for obtaining spectral transmittance of an optical filter by means of retarding potential method. In latter case, the simultaneous linear equations include some unavoidable errors. | |||||
雑誌書誌ID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00217655 | |||||
書誌情報 |
福山大学工学部紀要 巻 26, p. 91-98, 発行日 2002-12 |