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arXiv · 1904.01835

Sequences of bounds for the spectral radius of a positive operator

Roman Drnovšek
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Abstract

In 1992, Szyld provided a sequence of lower bounds for the spectral radius of a nonnegative matrix $A$, based on the geometric symmetrization of powers of $A$. In 1998, Ta\c{s}\c{c}i and Kirkland proved a companion result by giving a sequence of upper bounds for the spectral radius of $A$, based on the arithmetic symmetrization of powers of $A$. In this note, we extend both results to positive operators on $L^2$-spaces.

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Roman Drnovšek. 2019-04-03. Sequences of bounds for the spectral radius of a positive operator. https://doi.org/10.1016/j.laa.2019.03.024

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