淡江大學機構典藏:Item 987654321/41395

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    题名: The numerical range of a nonnegative matrix
    作者: Li, C. K.;譚必信;Tam, Bit-shun;Wu, P. Y.
    贡献者: 淡江大學數學學系
    关键词: Numerical range;Nonnegative matrix;Irreducible real part;Numerical radius;Perron–Frobenius theory;Regular polygon;Sharp point
    日期: 2002-07-01
    上传时间: 2010-01-28 07:27:57 (UTC+8)
    出版者: Elsevier
    摘要: 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.
    關聯: Linear Algebra and Its Applications 350(1-3), pp.1-23
    DOI: 10.1016/S0024-3795(02)00291-4
    显示于类别:[應用數學與數據科學學系] 期刊論文

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