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| 題名: | Generalized inverses of cone preserving maps |
| 作者: | Tam, Bit-shun |
| 貢獻者: | 淡江大學數學學系 |
| 日期: | 1981-10 |
| 上傳時間: | 2010-01-28 07:28:56 (UTC+8) |
| 出版者: | New York : Elsevier Inc. |
| 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. |
| 關聯: | Linear Algebra and Its Applications 40, pp.189-202 |
| DOI: | 10.1016/0024-3795(81)90149-X |
| 顯示於類別: | [應用數學與數據科學學系] 期刊論文
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