A connection between spectral radius and trace
نویسندگان
چکیده
منابع مشابه
Ela on the Trace Characterization of the Joint Spectral Radius
Abstract. A characterization of the joint spectral radius, due to Chen and Zhou, relies on the limit superior of the k-th root of the dominant trace over products of matrices of length k. In this note, a sufficient condition is given such that the limit superior takes the form of a limit. This result is useful while estimating the joint spectral radius. Although it applies to a restricted class...
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A characterization of the joint spectral radius, due to Chen and Zhou, relies on the limit superior of the k-th root of the dominant trace over products of matrices of length k. In this note, a sufficient condition is given such that the limit superior takes the form of a limit. This result is useful while estimating the joint spectral radius. Although it applies to a restricted class of matric...
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Recently, Uhlig [Numer. Algorithms, 52(3):335-353, 2009] proposed open questions about the ratios between the spectral norm, the numerical radius and the spectral radius of a square matrix. In this note, we provide some observations to answer these questions. Keywords—Spectral norm, Numerical radius, Spectral radius, Ratios
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1981
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-44-2-323-326