On the Collatz-Wielandt sets associated with a cone-preserving map | |
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學年 | 78 |
學期 | 1 |
出版(發表)日期 | 1989-12-01 |
作品名稱 | On the Collatz-Wielandt sets associated with a cone-preserving map |
作品名稱(其他語言) | |
著者 | Tam, Bit-Shun; Wu, Shiow-Fang |
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 125(C), pp.77-95 |
摘要 | Let K be a closed, pointed, full cone in Rn. In their treatment of Perron-Frobenius theory for a linear map A preserving K by Wielandt's approach, Barker and Schneider introduced four sets, namely, Ω, Ω1, Σ, and Σ1, the Collatz-Wielandt sets associated with A. We determine the greatest lower bound and the least upper bound of these sets. Some known results for a nonnegative matrix relating its spectral radius to its upper and lower Collatz-Wielandt number are extended to the setting of a cone-preserving map. Applications of our results to the nonnegativity of solutions of linear inequalities associated with a nonnegative matrix are also considered |
關鍵字 | |
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/987654321/41377 ) |