Maximum of the resolvent over matrices with given spectrum

Oleg Szehr, Rachid Zarouf

In numerical analysis it is often necessary to estimate the condition number $CN(T)=||T|{|}_{}\cdot ||T^{-1}|{|}_{}$ and the norm of the resolvent $||(\zeta -T{)}^{-1}|{|}_{}$ of a given $n\tim…