Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices
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 )

機構典藏連結