Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices | |
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學年 | 92 |
學期 | 2 |
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 | en |
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 | USA |
公開徵稿 | |
出版型式 | 紙本 |
相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41399 ) |