教師資料查詢 | 類別: 期刊論文 | 教師: 譚必信 Tam Bit-shun (瀏覽個人網頁)

標題: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
語言英文
ISSN0024-3795;1873-1856
期刊性質國外
收錄於SCI
產學合作
通訊作者
審稿制度
國別美國
公開徵稿
出版型式紙本
相關連結
Google+ 推薦功能,讓全世界都能看到您的推薦!