Endomorphism/K/Spectral radius/Definition

Spectral radius

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

$\varphi \colon V\longrightarrow V$

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

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