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Bounds via spectral radius-preserving row sum expansions (2202.13776v1)
Published 25 Feb 2022 in math.SP and math.CO
Abstract: We show a simple method for constructing larger matrices but preserving the spectral radius. This yields a sufficient criteria for two square matrices of arbitrary dimension have the same spectral radius, a way to compare spectral radii of two matrices, and a way to derive new upper and lower bounds on spectral radius which give the standard row sum bounds as a special case.
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