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| 研究生： |
鄭育雯 Yu-Wen Cheng |
|---|---|
| 論文名稱： |
The Study of the Kronecker Product The Study of the Kronecker Product |
| 指導教授： |
謝世峰
Shieh, Shih-Feng |
| 學位類別： |
碩士 Master |
| 系所名稱： |
數學系 Department of Mathematics |
| 論文出版年： | 2011 |
| 畢業學年度： | 99 |
| 語文別： | 中文 |
| 論文頁數： | 54 |
| 中文關鍵詞： | 克羅內克積 、克羅內克和 、西爾維斯特方程 |
| 英文關鍵詞： | Kronecker Product, Kronecker Sum, Sylvester equation |
| 論文種類： | 學術論文 |
| 相關次數： | 點閱：104 下載：8 |
| 分享至: |
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在這篇文章裡，主要是認識Kronecker Product 以及探討Kronecker Product的細節。我們將闡述如何利用Kronecker Product 來解釋某些矩陣性質。
總體而言，這篇文章可分為三個部分。在文章一開始，我們簡單提到
Kronecker Product 在科學和工程計算中扮演著極重要的角色。
在第二部分當中，我們清楚地描述Kronecker Product 的運算而它不能混同於普通一般的矩陣乘法。另外我們也逐步介紹Kronecker Product 的完整性，並嘗試了解Kronecker Product 在矩陣運算中衍生出別於一般的矩陣性質。
在最後的部分，我們利用Kronecker Product 的性質來證明一些我們感興趣的矩陣方程。我們會發現Kronecker Product 可以幫我們解決一些數學上比較棘手的矩陣運算。
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