淡江大學機構典藏:Item 987654321/41396
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    题名: CP rank of completely positive matrices of order 5
    作者: Loewy, Raphael;Tam, Bit-shun
    贡献者: 淡江大學數學學系
    关键词: Completely positive matrix;CP rank;Doubly nonnegative matrix
    日期: 2003-04
    上传时间: 2010-01-28 07:28:20 (UTC+8)
    出版者: Elsevier
    摘要: 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.
    關聯: Linear Algebra and Its Applications 363, pp.161-176
    DOI: 10.1016/S0024-3795(01)00588-2
    显示于类别:[數學學系暨研究所] 期刊論文

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