Spectral abscissa
= Spectral abscissa
{title2=$s(A)=\max_{\lambda\in\sigma(A)}\operatorname{Re}\lambda$}
The <spectral abscissa> is the largest real part of a <matrix>'s <eigenvalues>. It describes asymptotic exponential rates of its <matrix exponential>, but a <non-normal matrix> can also have transient amplification. It is generally distinct from the <Euclidean logarithmic norm>, which gives an immediate Euclidean energy-growth bound.