Endomorphism/K/Spectral radius/Definition

Let ${\displaystyle {}V}$ be a finite-dimensional ${\displaystyle {}{\mathbb {K} }}$-vector space, and let

${\displaystyle \varphi \colon V\longrightarrow V}$

be an endomorphism. The spectral radius of ${\displaystyle {}\varphi }$ is

${\displaystyle {}\rho (\varphi )={\max {\left(\vert {\lambda }\vert ,\lambda {\text{ is a complex eigenvalue of }}\varphi \right)}}\,.}$