Research output per year
Research output per year
- 1 - 50 out of 132 results
Search results
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2024
An experimental comparison of methods for computing the numerical radius
Mitchell, T. & Overton, M. L., Feb 2024, In: Results in Applied Mathematics. 21, 100434.Research output: Contribution to journal › Article › peer-review
Open Access -
2023
MULTIFIDELITY ROBUST CONTROLLER DESIGN WITH GRADIENT SAMPLING
Werner, S. W. R., Overton, M. L. & Peherstorfer, B., Apr 2023, In: SIAM Journal on Scientific Computing. 45, 2, p. A933-A957Research output: Contribution to journal › Article › peer-review
Open Access -
2022
Local minimizers of the Crouzeix ratio: a nonsmooth optimization case study
Overton, M. L., Mar 2022, In: Calcolo. 59, 1, 8.Research output: Contribution to journal › Article › peer-review
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On properties of univariate max functions at local maximizers
Mitchell, T. & Overton, M. L., Dec 2022, In: Optimization Letters. 16, 9, p. 2527-2541 15 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2021
Analysis of limited-memory BFGS on a class of nonsmooth convex functions
Asl, A. & Overton, M. L., Jan 1 2021, In: IMA Journal of Numerical Analysis. 41, 1, p. 1-27 27 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Behavior of Limited Memory BFGS When Applied to Nonsmooth Functions and Their Nesterov Smoothings
Asl, A. & Overton, M. L., 2021, Numerical Analysis and Optimization, NAOV 2020. Al-Baali, M., Purnama, A. & Grandinetti, L. (eds.). Springer, p. 25-55 31 p. (Springer Proceedings in Mathematics and Statistics; vol. 354).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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Finding the strongest stable massless column with a follower load and relocatable concentrated masses
Kirillov, O. N. & Overton, M. L., May 1 2021, In: Quarterly Journal of Mechanics and Applied Mathematics. 74, 2, p. 223-250 28 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2020
Analysis of the gradient method with an Armijo–Wolfe line search on a class of non-smooth convex functions
Asl, A. & Overton, M. L., Mar 3 2020, In: Optimization Methods and Software. 35, 2, p. 223-242 20 p.Research output: Contribution to journal › Article › peer-review
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First-order perturbation theory for eigenvalues and eigenvectors
Greenbaum, A., Li, R. C. & Overton, M. L., 2020, In: SIAM Review. 62, 2, p. 463-482 20 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Gradient sampling methods for nonsmooth optimization
Burke, J. V., Curtis, F. E., Lewis, A. S., Overton, M. L. & Simões, L. E. A., Jan 1 2020, Numerical Nonsmooth Optimization: State of the Art Algorithms. Springer International Publishing, p. 201-225 25 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter
Open Access -
Partial smoothness of the numerical radius at matrices whose fields of values are disks
Lewis, A. S. & Overton, M. L., Jul 2020, In: SIAM Journal on Matrix Analysis and Applications. 41, 3, p. 1004-1032 29 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2018
Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model
Benner, P., Mitchell, T. & Overton, M. L., Jul 2 2018, 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., p. 3000-3005 6 p. 8619449. (Proceedings of the IEEE Conference on Decision and Control; vol. 2018-December).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open Access -
Numerical investigation of Crouzeix's conjecture
Greenbaum, A. & Overton, M. L., Apr 1 2018, In: Linear Algebra and Its Applications. 542, p. 225-245 21 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2017
A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles
Curtis, F. E., Mitchell, T. & Overton, M. L., Jan 2 2017, In: Optimization Methods and Software. 32, 1, p. 148-181 34 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Approximating the real structured stability radius with frobenius-norm bounded perturbations
Guglielmi, N., Gürbüzbalaban, M., Mitchell, T. & Overton, M. L., 2017, In: SIAM Journal on Matrix Analysis and Applications. 38, 4, p. 1323-1353 31 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Polynomial root radius optimization with affine constraints
Eaton, J., Grundel, S., Gürbüzbalaban, M. & Overton, M. L., Oct 1 2017, In: Mathematical Programming. 165, 2, p. 509-528 20 p.Research output: Contribution to journal › Article › peer-review
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Variational analysis of the Crouzeix ratio
Greenbaum, A., Lewis, A. S. & Overton, M. L., Jul 1 2017, In: Mathematical Programming. 164, 1-2, p. 229-243 15 p.Research output: Contribution to journal › Article › peer-review
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2016
Hybrid expansion-contraction: A robust scaleable method for approximating the H∞ norm
Mitchell, T. & Overton, M. L., Jul 1 2016, In: IMA Journal of Numerical Analysis. 36, 3, p. 985-1014 30 p.Research output: Contribution to journal › Article › peer-review
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2015
An efficient algorithm for computing the generalized null space decomposition
Guglielmi, N., Overton, M. L. & Stewart, G. W., 2015, In: SIAM Journal on Matrix Analysis and Applications. 36, 1, p. 38-54 17 p.Research output: Contribution to journal › Article › peer-review
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Fixed low-order controller design and H∞ optimization for large-scale dynamical systems
Mitchell, T. & Overton, M. L., Jul 1 2015, In: IFAC-PapersOnLine. 28, 14, p. 25-30 6 p.Research output: Contribution to journal › Conference article › peer-review
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Narrowing the difficulty gap for the Celis–Dennis–Tapia problem
Bomze, I. M. & Overton, M. L., Jul 27 2015, In: Mathematical Programming. 151, 2, p. 459-476 18 p.Research output: Contribution to journal › Article › peer-review
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Polynomial stabilization with bounds on the controller coefficients
Eaton, J., Grundel, S., Gürbüzbalaban, M. & Overton, M. L., Jul 1 2015, In: IFAC-PapersOnLine. 28, 14, p. 382-387 6 p.Research output: Contribution to journal › Conference article › peer-review
Open Access -
2014
The spectral bundle method with second-order information
Helmberg, C., Overton, M. L. & Rendl, F., Jul 4 2014, In: Optimization Methods and Software. 29, 4, p. 855-876 22 p.Research output: Contribution to journal › Article › peer-review
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Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue
Grundel, S. & Overton, M. L., Mar 2014, In: Set-Valued and Variational Analysis. 22, 1, p. 19-43 25 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2013
Fast approximation of the H∞ norm via optimization over spectral value sets
Guglielmi, N., Gürbüzbalaban, M. & Overton, M. L., 2013, In: SIAM Journal on Matrix Analysis and Applications. 34, 2, p. 709-737 29 p.Research output: Contribution to journal › Article › peer-review
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Nonsmooth optimization via quasi-Newton methods
Lewis, A. S. & Overton, M. L., Oct 2013, In: Mathematical Programming. 141, 1-2, p. 135-163 29 p.Research output: Contribution to journal › Article › peer-review
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Preface
Frangioni, A., Overton, M. L. & Sagastizábal, C., Aug 2013, In: Mathematical Programming. 140, 1, p. 1-3 3 p.Research output: Contribution to journal › Editorial › peer-review
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Robust stability at the swallowtail singularity
Overton, M. & Kirillov, O., 2013, In: Frontiers in Mathematical Physics. 1, Article 24, DOI: 10.3389/fphy.2013.00024.Research output: Contribution to journal › Article › peer-review
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Stability Optimization for Polynomials and Matrices
Overton, M. L., Dec 31 2013, Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations. Wiley-Blackwell, Vol. 9781848214200. p. 351-375 25 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter
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2012
A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization
Curtis, F. E. & Overton, M. L., 2012, In: SIAM Journal on Optimization. 22, 2, p. 474-500 27 p.Research output: Contribution to journal › Article › peer-review
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Explicit solutions for root optimization of a polynomial family with one affine constraint
Blondel, V. D., Gurbuzbalaban, M., Megretski, A. & Overton, M. L., 2012, In: IEEE Transactions on Automatic Control. 57, 12, p. 3078-3089 12 p., 6209388.Research output: Contribution to journal › Article › peer-review
Open Access -
On Nesterov's nonsmooth ChebyshevRosenbrock functions
Grbzbalaban, M. & Overton, M. L., Feb 2012, In: Nonlinear Analysis, Theory, Methods and Applications. 75, 3, p. 1282-1289 8 p.Research output: Contribution to journal › Article › peer-review
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Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix
G̈urb̈uzbalaban, M. & Overton, M. L., 2012, In: SIAM Journal on Optimization. 22, 2, p. 281-285 5 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2011
Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components
Alam, R., Bora, S., Byers, R. & Overton, M. L., Aug 1 2011, In: Linear Algebra and Its Applications. 435, 3, p. 494-513 20 p.Research output: Contribution to journal › Article › peer-review
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Fast algorithms for the appro ximation of the pseudospectral abscissa and pseudospectral radius of a matrix
Guglielmi, N. & Overton, M. L., 2011, In: SIAM Journal on Matrix Analysis and Applications. 32, 4, p. 1166-1192 27 p.Research output: Contribution to journal › Article › peer-review
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2010
An analysis of low-rank modifications of preconditioners for saddle point systems
Greif, C. & Overton, M. L., 2010, In: Electronic Transactions on Numerical Analysis. 37, p. 307-320 14 p.Research output: Contribution to journal › Article › peer-review
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Explicit solutions for root optimization of a polynomial family
Blondel, V. D., Gurbuzbalaban, M., Megretski, A. & Overton, M. L., 2010, 2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., p. 485-488 4 p. 5718074. (Proceedings of the IEEE Conference on Decision and Control).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open Access -
Structured primal-dual interior-point methods for banded semidefinite programming
Deng, Z., Gu, M. & Overton, M. L., 2010, Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008. Ball, J. A., Bolotnikov, V., Rodman, L., Spitkovsky, I. M. & Helton, J. W. (eds.). Springer International Publishing, p. 111-141 31 p. (Operator Theory: Advances and Applications; vol. 202).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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2009
Multiobjective robust control with HIFOO 2.0
Gumussoy, S., Henrion, D., Millstone, M. & Overton, M. L., 2009, ROCOND'09 - 6th IFAC Symposium on Robust Control Design, Proceedings. PART 1 ed. IFAC Secretariat, p. 144-149 6 p. (IFAC Proceedings Volumes (IFAC-PapersOnline); vol. 6, no. PART 1).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open Access -
2008
Fixed-order H∞ controller design via HIFOO, a specialized nonsmooth optimization package
Gumussoy, S. & Overton, M. L., 2008, 2008 American Control Conference, ACC. p. 2750-2754 5 p. 4586909. (Proceedings of the American Control Conference).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open Access -
H∞ strong stabilization via HIFOO, a package for fixed-order controller design
Gumussoy, S., Millstone, M. & Overton, M. L., 2008, Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., p. 4135-4140 6 p. 4738750. (Proceedings of the IEEE Conference on Decision and Control).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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The speed of Shor's R-algorithm
Burke, J. V., Lewis, A. S. & Overton, M. L., Oct 2008, In: IMA Journal of Numerical Analysis. 28, 4, p. 711-720 10 p.Research output: Contribution to journal › Article › peer-review
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2007
Change of editorship
Iserles, A., Overton, M. L. & Süli, E., Jan 2007, In: IMA Journal of Numerical Analysis. 27, 1, p. iResearch output: Contribution to journal › Editorial › peer-review
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Convexity and lipschitz behavior of small pseudospectra
Burke, J. V., Lewis, A. S. & Overton, M. L., 2007, In: SIAM Journal on Matrix Analysis and Applications. 29, 2, p. 586-595 10 p.Research output: Contribution to journal › Article › peer-review
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Large-scale semidefinite programs in electronic structure calculation
Fukuda, M., Braams, B. J., Nakata, M., Overton, M. L., Percus, J. K., Yamashita, M. & Zhao, Z., Mar 2007, In: Mathematical Programming. 109, 2-3, p. 553-580 28 p.Research output: Contribution to journal › Article › peer-review
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Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler
Gade, K. K. & Overton, M. L., Mar 2007, In: Advances in Applied Mathematics. 38, 3, p. 382-403 22 p.Research output: Contribution to journal › Article › peer-review
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Spectral conditioning and pseudospectral growth
Burke, J. V., Lewis, A. S. & Overton, M. L., Jul 2007, In: Numerische Mathematik. 107, 1, p. 27-37 11 p.Research output: Contribution to journal › Article › peer-review
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2006
An algorithm to compute sepλ
Gu, M. & Overton, M. L., 2006, In: SIAM Journal on Matrix Analysis and Applications. 28, 2, p. 348-359 12 p.Research output: Contribution to journal › Article › peer-review
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Fast methods for estimating the distance to uncontrollability
Gu, M., Mengi, E., Overton, M. L., Xia, J. & Zhu, J., 2006, In: SIAM Journal on Matrix Analysis and Applications. 28, 2, p. 477-502 26 p.Research output: Contribution to journal › Article › peer-review
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HIFOO - A MATLAB package for fixed-order controller design and H ∞ optimization
Burke, J. V., Henrion, D., Lewis, A. S. & Overton, M. L., 2006, ROCOND'06 - 5th IFAC Symposium on Robust Control Design, Final Program with Abstracts. PART 1 ed. IFAC Secretariat, p. 339-344 6 p. (IFAC Proceedings Volumes (IFAC-PapersOnline); vol. 5, no. PART 1).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
Open Access