21 citations · 41 across the 4 of their papers we have counts for
5 papers
Updating structured matrix pencils with no spillover effect on unmeasured spectral data and deflating pair
Bibhas Adhikari, Biswa Nath Datta, Tinku Ganai +1
This paper is devoted to the study of perturbations of a matrix pencil, structured or unstructured, such that a perturbed pencil will reproduce a given deflating pair while maintai…
A note on approximating the nearest stable discrete-time descriptor system with fixed rank
Nicolas Gillis, Michael Karow, Punit Sharma
Consider a discrete-time linear time-invariant descriptor system for . In this paper, we tackle for the first time the problem of stabilizing s…
Approximating the nearest stable discrete-time system
Nicolas Gillis, Michael Karow, Punit Sharma
In this paper, we consider the problem of stabilizing discrete-time linear systems by computing a nearby stable matrix to an unstable one. To do so, we provide a new characterizati…
Matrix Polynomials with Specified Eigenvalues
Michael Karow, Emre Mengi
This work concerns the distance in 2-norm from a matrix polynomial to a nearest polynomial with a specified number of its eigenvalues at specified locations in the complex plane. P…
Real and complex operator norms
Olga Holtz, Michael Karow
Real and complex norms of a linear operator acting on a normed complexified space are considered. Bounds on the ratio of these norms are given. The real and complex norms are shown…