Perron number
id:
perron-number-265-5221914
title:
Perron number
text:
In mathematics, a Perron number is an algebraic integer α which is real and greater than 1, but such that its conjugate elements are all less than α in absolute value. For example, the larger of the two roots of the irreducible polynomial x 2 − 3 x + 1 is a Perron number. Perron numbers are named after Oskar Perron; the Perron–Frobenius theorem asserts that, for a real square matrix with positive algebraic entries whose largest eigenvalue is greater than one, this eigenvalue is a Perron number.
brand slug:
wiki
category slug:
encyclopedia
description:
Type of algebraic number
original url:
https://en.wikipedia.org/wiki/Perron_number
date created:
date modified:
2024-04-22T00:25:14Z
main entity:
{"identifier":"Q7169663","url":"https://www.wikidata.org/entity/Q7169663"}
image:
fields total:
13
integrity:
14