A new bound for the distance to singularity of a regular matrix pencil
Thomas Berger, Hannes Gernandt, Carsten Trunk, Henrik Winkler, Michał Wojtylak · PAMM · 2017
Abstract For regular matrix pencils 𝒜(s) = sE − A the distance to the nearest singular pencil in the Frobenius norm of the coefficients is called the distance to singularity. We derive a new lower bound for this distance by using the spectral theory of tridiagonal Toeplitz matrices. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)