| 標題：Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices | |
|---|---|
| 學年 | |
| 學期 | |
| 出版（發表）日期 | 2004/03/01 |
| 作品名稱 | Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices |
| 作品名稱（其他語言） | |
| 著者 | Lin, Shwu-Huey; Tam, Bit-Shun |
| 單位 | 淡江大學數學學系 |
| 出版者 | Philadelphia: Elsevier Inc. |
| 著錄名稱、卷期、頁數 | Linear Algebra and Its Applications 379(1), pp.179-200 |
| 摘要 | Let denote either the set of n×n symmetric doubly stochastic matrices or the set of n×n symmetric doubly substochastic matrices and let T be a linear map on span . We prove that if and only if there exists an n×n permutation matrix P such that T(X)=PtXP for all . Our proofs make use of the concept of neighborly extreme points of a polytope and depend on some intricate graph theory. |
| 關鍵字 | Conformal mapping;Graph theory;Stochastic programming;Theorem proving;Linear preservers;Permutation matrices;Stochastic matrices;Symmetric matrices;Matrix algebra |
| 語言 | 英文 |
| ISSN | 0024-3795 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Tam, Bit-Shun |
| 審稿制度 | |
| 國別 | 美國 |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 | |
| SDGs | |
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