The generalized spectral radius is strictly increasing

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The generalized spectral radius is strictly increasing

Using a result linking convexity and irreducibility of matrix sets it is shown that the generalized spectral radius of a compact set of matrices is a strictly increasing function of the set in a very natural sense. As an application some consequences of this property in the area of time-varying stability radii are discussed. In particular, using the implicit function theorem sufficient conditio...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2005

ISSN: 0024-3795

DOI: 10.1016/j.laa.2004.07.013