| Generalized inverses of cone preserving maps | |
|---|---|
| 學年 | 70 |
| 學期 | 1 |
| 出版（發表）日期 | 1981-10-01 |
| 作品名稱 | Generalized inverses of cone preserving maps |
| 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 | New York : Elsevier Inc. |
| 著錄名稱、卷期、頁數 | Linear Algebra and Its Applications 40, pp.189-202 |
| 摘要 | Let K1 and K2 be solid cones in Rn and Rm respectively, and let A be a linear operator such that AK1⊆K2. Necessary and sufficient conditions for the existence of various kinds of generalized inverses of A taking K2 into K1 are given. Projections which belong to π(K), the set of all linear operators that preserve a are studied. In particular, it is proved that a projection P in π(K) is a simplicial nonnegative linear combination of its rank-one operators iff Im P∩K is a simplical cone. An open question of Burns, Fiedler, and Haynsworth concerning minimal generating matrices of polyhedral cones is also extended and answered affirmatively. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0024-3795 1873-1856 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 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/987654321/41401 ) |
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