期刊論文
| 學年 | 98 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2010-06-01 |
| 作品名稱 | Maximal exponents of polyhedral cones (II) |
| 作品名稱（其他語言） | |
| 著者 | Raphael Loewy; 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 432(11), pp.2861-2878 |
| 摘要 | Let K be a proper (i.e., closed, pointed, full convex) cone in Rn. An n×n matrix A is said to be K-primitive if there exists a positive integer k such that ; the least such k is referred to as the exponent of A and is denoted by γ(A). For a polyhedral cone K, the maximum value of γ(A), taken over all K-primitive matrices A, is called the exponent of K and is denoted by γ(K). It is proved that the maximum value of γ(K) as K runs through all n-dimensional minimal cones (i.e., cones having n+1 extreme rays) is n2-n+1 if n is odd, and is n2-n if n is even, the maximum value of the exponent being attained by a minimal cone with a balanced relation for its extreme vectors. The K-primitive matrices A such that γ(A) attain the maximum value are identified up to cone-equivalence modulo positive scalar multiplication. |
| 關鍵字 | Cone-preserving map; K-primitive matrix; Exponents; Polyhedral cone; Exp-maximal cone; Exp-maximal K-primitive matrix; Cone-equivalence; Minimal cone |
| 語言 | en |
| ISSN | 0024-3795 |
| 期刊性質 | 國外 |
| 收錄於 | SCI EI |
| 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/987654321/58750 ) |