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制約条件付き連立方程式の解法
https://fukuyama-u.repo.nii.ac.jp/records/8146
https://fukuyama-u.repo.nii.ac.jp/records/814618035ded-822c-4094-82c8-5cfe4ef0a84e
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00005781542.pdf (621.8 kB)
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| Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2003-12-01 | |||||
| タイトル | ||||||
| タイトル | 制約条件付き連立方程式の解法 | |||||
| タイトル | ||||||
| タイトル | An Algorithm of Constrained Simultaneous Equations | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | jpn | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | 連立方程式 | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | アルゴリズム | |||||
| 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 | ペナルティ関数 | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | 数理計画法 | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | 誤差 | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Simultaneous Equations | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Algorithm | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Constrained Condition | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | Penalty | |||||
| 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× 筒本, 和広 |
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| 著者名よみ | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 43709 | |||||
| 姓名 | コバヤシ, フジオ | |||||
| 著者名よみ | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 43710 | |||||
| 姓名 | オゼキ, タカシ | |||||
| 著者名よみ | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 43711 | |||||
| 姓名 | ツツモト, カズヒロ | |||||
| 著者名(英) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 43712 | |||||
| 姓名 | KOBAYASHI, Fujio | |||||
| 言語 | en | |||||
| 著者名(英) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 43713 | |||||
| 姓名 | OZEKI, Takashi | |||||
| 言語 | en | |||||
| 著者名(英) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 43714 | |||||
| 姓名 | Tsutsumoto, Kazuhiro | |||||
| 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 | 福山大学人間文化学部環境情報学科 | |||||
| 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 | Fukuyama University | |||||
| 抄録(英) | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Applying, simultaneous linear equations to physics and engineering, the measured values may involve some errors inevitably and sometimes the number of equations may be larger than that of unknowns The most probable values are generally found from the normal equations derived by the least squares method. While, absurd solutions which are not to be in the problems of physics or engineering are sometimes obtained from the normal equations. As a way to overcome those difficulties we developed an algorithm of constrained simultaneous equations for processing the data under the conditions that satisfy the pertinent physical meanings of solutions. The method is based upon an idea that the optimum solutions of unknowns to be solved are obtained by taking the minimum value of a penalty function. The penalty function is the sum of squared solutions which violated the restrictions. One correction term is added in each equation. When all values of correction terms are put zero, the solutions obtained from these equations are used as the initial values. The penalty function is calculated slightly changing the value of any one of corrections. Same calculations are carried out against each correction. Next, the values of penalty function which are smaller than that of former step are chosen. Among the chosen values, the minimum value which are the sum of squared corrections are taken as a value of new step. Thus the solutions obtained by iterative calculations approach to the optimum solutions. In this paper, the algorithm of constrained simultaneous equations 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 condition. The other is concerned in particular problem which deals with simultaneous linear equations. composed of measured values for obtaining spectral transmittances Of an optical filter by means of retarding potential method. The later 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 27, p. 183-190, 発行日 2003-12 |
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