淡江大學機構典藏:Item 987654321/41395

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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41395


    Title: The numerical range of a nonnegative matrix
    Authors: Li, C. K.;譚必信;Tam, Bit-shun;Wu, P. Y.
    Contributors: 淡江大學數學學系
    Keywords: Numerical range;Nonnegative matrix;Irreducible real part;Numerical radius;Perron–Frobenius theory;Regular polygon;Sharp point
    Date: 2002-07-01
    Issue Date: 2010-01-28 07:27:57 (UTC+8)
    Publisher: Elsevier
    Abstract: We offer an almost self-contained development of Perron–Frobenius type results for the numerical range of an (irreducible) nonnegative matrix, rederiving and completing the previous work of Issos, Nylen and Tam, and Tam and Yang on this topic. We solve the open problem of characterizing nonnegative matrices whose numerical ranges are regular convex polygons with center at the origin. Some related results are obtained and some open problems are also posed.
    Relation: Linear Algebra and Its Applications 350(1-3), pp.1-23
    DOI: 10.1016/S0024-3795(02)00291-4
    Appears in Collections:[Department of Applied Mathematics and Data Science] Journal Article

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