期刊論文
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 ) |