Crouzeix's conjecture
id:
crouzeix-s-conjecture-288-6256364
title:
Crouzeix's conjecture
text:
Crouzeix's conjecture is an unsolved problem in matrix analysis. It was proposed by Michel Crouzeix in 2004, and it can be stated as follows: where the set W is the field of values of a n×n complex matrix A and f is a complex function that is analytic in the interior of W and continuous up to the boundary of W . Slightly reformulated, the conjecture can also be stated as follows: for all square complex matrices A and all complex polynomials p : holds, where the norm on the left-hand side is the
brand slug:
wiki
category slug:
encyclopedia
description:
Unsolved problem in matrix analysis
original url:
https://en.wikipedia.org/wiki/Crouzeix%27s_conjecture
date created:
date modified:
2024-01-09T02:56:32Z
main entity:
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image:
fields total:
13
integrity:
14