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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41396

    Title: CP rank of completely positive matrices of order 5
    Authors: Loewy, Raphael;Tam, Bit-shun
    Contributors: 淡江大學數學學系
    Keywords: Completely positive matrix;CP rank;Doubly nonnegative matrix
    Date: 2003-04
    Issue Date: 2010-01-28 07:28:20 (UTC+8)
    Publisher: Elsevier
    Abstract: J.H. Drew et al. [Linear and Multilinear Algebra 37 (1994) 304] conjectured that for n⩾4, the completely positive (CP) rank of every n×n completely positive matrix is at most [n2/4]. In this paper we prove that the CP rank of a 5×5 completely positive matrix which has at least one zero entry is at most 6, thus providing new supporting evidence for the conjecture.
    Relation: Linear Algebra and Its Applications 363, pp.161-176
    DOI: 10.1016/S0024-3795(01)00588-2
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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