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    题名: Generalized inverses of cone preserving maps
    作者: Tam, Bit-shun
    贡献者: 淡江大學數學學系
    日期: 1981-10
    上传时间: 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
    显示于类别:[數學學系暨研究所] 期刊論文


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