WEKO3
インデックスリンク
アイテム
直交変換による悪条件行列の改善法
https://fukuyama-u.repo.nii.ac.jp/records/7744
https://fukuyama-u.repo.nii.ac.jp/records/77443434da79-e45a-4709-93ec-924713105fd0
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00005781112.pdf (499.3 kB)
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| Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 1988-01-01 | |||||
| タイトル | ||||||
| タイトル | 直交変換による悪条件行列の改善法 | |||||
| タイトル | ||||||
| タイトル | The Methods of Improving the Property of Ill-Conditioned Matrix by Means of Orthogonal Transforms | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | jpn | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | ill-conditioned matrix | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | well-conditioned matrix | |||||
| キーワード | ||||||
| 言語 | en | |||||
| 主題Scheme | Other | |||||
| 主題 | orthogonal transform | |||||
| 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 |
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| 著者名よみ | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 41835 | |||||
| 姓名 | コバヤシ, フジオ | |||||
| 著者名(英) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 41836 | |||||
| 姓名 | KOBAYASHI, Fujio | |||||
| 言語 | en | |||||
| 著者所属(日) | ||||||
| 値 | 福山大学工学部情報処理工学科 | |||||
| 抄録(英) | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | In the ill-conditioned system of equations, the round-off errors in carrying out numerical calculations give rise to large changes in the solution. In this case, the coefficient matrix is near singular. As the system is unstable, it is desirable to change the system into the stable one which is equivalent to the original system. This subject is important in numerical calculations. Let us consider the following system represented by linear equations. AX=B (1) where A is N×N matrix, and X and B are N-dimensional column vectors. If the each column of coefficients in above equations is transformed by orthogonal transform method respectively, the following system of linear equations is obtained. MAX=MB (2) where M is N×N orthogonal matrix. In this paper, it will be proved that equation (1) is entirely equivalent to equation (2). Next, it will be described that even if equation (1) is ill-conditioned, equation (2) may become to be well-conditioned. | |||||
| 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 10, p. 89-95, 発行日 1988 |
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