| 標題：On the distinguished eigenvalues of a cone-preserving map | |
|---|---|
| 學年 | 78 |
| 學期 | 2 |
| 出版（發表）日期 | 1990/04/01 |
| 作品名稱 | On the distinguished eigenvalues of a cone-preserving map |
| 作品名稱（其他語言） | |
| 著者 | 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 131(C), pp.17-37 |
| 摘要 | We generalize many known results on a nonnegative matrix concerning linear inequalities, Collatz-Wielandt sets, and generalized eigenvectors to the setting of a matrix preserving a (finite-dimensional) proper cone. A simple cone-theoretic proof is given for the nonnegative-basis theorem for the algebraic eigenspace of a nonnegative matrix. The result is also extended to a matrix preserving a polyhedral cone. Given proper cones K1 and K2 in different euclidean spaces, a necessary and sufficient condition is also obtained for the existence of a nonzero matrix X which takes K2 into K1 and satisfies AX = XB, where A, B are given matrices preserving K1 and K2 respectively. This extends and answers a recent open question posed by Hartwig. |
| 關鍵字 | |
| 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 | |
