2 citations · 6 across the 14 of their papers we have counts for
11 papers · 1 filter
Root-max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems
Tim Mitchell, Paul Van Dooren
We present quadratically convergent algorithms to compute the extremal value of a real parameter for which a given rational transfer function of a linear time-invariant system is p…
On Properties of Univariate Max Functions at Local Maximizers
Tim Mitchell, Michael L. Overton
More than three decades ago, Boyd and Balakrishnan established a regularity result for the two-norm of a transfer function at maximizers. Their result extends easily to the stateme…
Optimization-based parametric model order reduction via first-order necessary conditions
Manuela Hund, Tim Mitchell, Petar Mlinarić +1
In this paper, we generalize existing frameworks for -optimal model order reduction to a broad class of parametric linear time-invariant systems.…
Fast Computation of Sep via Interpolation-based Globality Certificates
Tim Mitchell
Given two square matrices and , we propose a new approach for computing the smallest value such that and share an eigenvalue, where $\|E\|=\…
Fast Interpolation-based Globality Certificates for Computing Kreiss Constants and the Distance to Uncontrollability
Tim Mitchell
We propose a new approach to computing global minimizers of singular value functions in two real variables. Specifically, we present new algorithms to compute the Kreiss constant o…
Computing the Kreiss Constant of a Matrix
Tim Mitchell
We establish the first globally convergent algorithms for computing the Kreiss constant of a matrix to arbitrary accuracy. We propose three different iterations for continuous-time…