Generalized eigenvalue problem
= Generalized eigenvalue problem
{title2=$Av=\lambda Bv$}
{wiki}
A generalized eigenvalue problem asks for a nonzero vector $v$ and scalar $\lambda$ satisfying $Av=\lambda Bv$. When $B$ is invertible, it is equivalent to the ordinary <eigenvalue> problem $B^{-1}Av=\lambda v$.