Estimating the Sensitivity of the Algebraic Structure of Pencils with Simple Eigenvalue Estimates
Daniel L. Boley · SIAM Journal on Matrix Analysis and Applications · 1990
The sensitivity of the algebraic (Kronecker) structure of rectangular matrix pencils to perturbations in the coefficients is examined. Eigenvalue perturbation bounds in the spirit of Bauer–Fike are used to develop computational upper and lower bounds on the distance from a given pencil to one with a qualitatively different Kronecker structure.