| On the Collatz-Wielandt sets associated with a cone-preserving map | |
|---|---|
| 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 ) |
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