Publications of Tim Mitchell

Jakovcevic Stor, N., Mitchell, T., Tomljanovic, Z., & Ugrica, M. (2023)Fast optimization of viscosities for frequency-weighted damping of second-order systemsZeitschrift für angewandte Mathematik und Mechanik, 103 (5), e202100127, 21 pagesdoi: 10.1002/zamm.202100127.

Mitchell, T. (2023)Convergence Rate Analysis and Improved Iterations for Numerical Radius ComputationSIAM Journal on Scientific Computing, 45 (2), A753–A780doi: 10.1137/21M1455826.

Mitchell, T. (2023)Fast Computation of Sepƛ via Interpolation-based Globality CertificatesElectronic Transactions on Numerical Analysis, 58, 402–431doi: 10.1553/etna_vol58s402.

Mitchell, T. & Van Dooren, P. (2023)Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive SystemsSIAM journal on matrix analysis and applications, 44 (2), 753–780.

Hund, M., Mitchell, T., Mlinarić, P., & Saak, J. (2022)Optimization-Based Parametric Model Order Reduction via H₂ ⊗ L₂ First-Order Necessary ConditionsSIAM Journal on Scientific Computing, 44 (3), A1554–A1578doi: 10.1137/21M140290X.

Mitchell, T. & Overton, M. L. (2022)On Properties of Univariate Max Functions at Local MaximizersOptimization Letters, 16, 2527–2541doi: 10.1007/s11590-022-01872-y.

Mitchell, T. (2021)Fast Interpolation-based Globality Certificates for Computing Kreiss Constants and the Distance to UncontrollabilitySIAM Journal on Matrix Analysis and Applications, 42 (2), 578–607doi: 10.1137/20M1358955.

Mitchell, T. (2020)Computing the Kreiss Constant of a MatrixSIAM Journal on Matrix Analysis and Applications, 41 (4), 1944–1975doi: 10.1137/19M1275127.

Benner, P. & Mitchell, T. (2019)Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and RadiusSIAM Journal on Matrix Analysis and Applications, 40 (4), 1325–1352doi: 10.1137/19M1246213.

Benner, P., Himpe, C., & Mitchell, T. (2018)On Reduced Input-Output Dynamic Mode DecompositionAdvances in Computational Mathematics, 44 (6), 1751–1768doi: 10.1007/s10444-018-9592-x.

Benner, P. & Mitchell, T. (2018)Faster and More Accurate Computation of the H_∞ Norm via OptimizationSIAM Journal on Scientific Computing, 40 (5), A3609–A3635doi: 10.1137/17M1137966.

Curtis, F. E., Mitchell, T., & Overton, M. L. (2017)A BFGS-SQP Method for Nonsmooth, Nonconvex, Constrained Optimization and its Evaluation using Relative Minimization ProfilesOptimization Methods and Software, 32 (1), 148–181doi: 10.1080/10556788.2016.1208749.

Guglielmi, N., Gürbüzbalaban Mert, Mitchell, T., & Overton, M. L. (2017)Approximating the Real Structured Stability Radius with Frobenius Norm Bounded PerturbationsSIAM Journal on Matrix Analysis and Applications, 38 (4), 1323–1353doi: 10.1137/16M1110169.

Benner, P., Mitchell, T., & Overton, M. L. (2018)Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order ModelIn: 2018 IEEE Conference on Decision and Control (CDC), 3000–3005doi: 10.1109/CDC.2018.8619449.

Aliyev, N., Benner, P., Mengi, E., Mitchell, T., Schwerdtner, P., & Voigt, M. (2020)H_∞-Control of Large-Scale SystemsIn: XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, 395–397.

Mitchell, T. (2020)Computing the Kreiss Constant of a MatrixIn: XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, 275–277.

Liang, B., Mitchell, T., & Sun, J. (in press)NCVX: A User-Friendly and Scalable Package for Nonconvex Optimization in Machine Learning.

Kungurtsev, V., Mitchell, T., & Vyhlidal, T. (in press)A Comparison of Nonsmooth, Nonconvex, Constrained Optimization Solvers for the Design of Time-Delay Compensators.