淡江大學機構典藏:Item 987654321/41403
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41403


    Title: A geometric Gordan-Stiemke theorem
    Authors: Barker, G.P.;Tam, Bit-Shun;Davila, Norbol
    Contributors: 淡江大學數學學系
    Date: 1984-09
    Issue Date: 2013-06-13 11:25:39 (UTC+8)
    Publisher: Philadelphia: Elsevier Inc.
    Abstract: Let C and K be closed cones in Rn. Denote by φ (K∩C) the face of C generated by K ∩ C, by φ(K ∩ D)D the dual face of φ(K ∩ C) in C∗, and by φ(-K∗ ∩ C∗) the face of C∗ generated by -K∗ ∩ C∗. It is proved that φ(K ∩ C∗) if and only if -C∗ ∩ [span(K ∩ C)] ⊥ ⊆ C∗ + K∗. In particular, the closedness of C∗ + K∗ is a sufficient condition. Our result contains a generalization of the Gordon-Stiemke theorem which appeared in a recent paper of Saunders and Schneider.
    Relation: Linear Algebra and Its Applications 61(C), pp.83-89
    DOI: 10.1016/0024-3795(84)90023-5
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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