Editing Spectral radius (section)

{{Short description|Largest absolute value of an operator's eigenvalues}}
{{distinguish|Spectral norm}}
{{More footnotes|date=July 2022}}

In [[mathematics]], the '''spectral radius''' of a [[matrix (mathematics)|square matrix]] is the maximum of the absolute values of its [[eigenvalues]].<ref>{{Cite book |last=Gradshteĭn |first=I. S. |url=https://www.worldcat.org/oclc/5892996 |title=Table of integrals, series, and products |date=1980 |publisher=Academic Press |others=I. M. Ryzhik, Alan Jeffrey |isbn=0-12-294760-6 |edition=Corr. and enl. |location=New York |oclc=5892996}}</ref> More generally, the spectral radius of a [[bounded linear operator]] is the [[supremum]] of the absolute values of the elements of its [[spectrum (functional analysis)|spectrum]]. The spectral radius is often denoted by {{math|ρ(·)}}.