All Papers Since 2000

• T. Mitchell and M.L. Overton,
  An Experimental Comparison of Methods for Computing the Numerical Radius
  Results in Applied Mathematics 21 (2024) doi 10.1016/j.rinam.2024.100434
  Published Article
  Copy of Published Article
  

• M.L. Overton and P. Yu,
  On the Choice of Sign Defining Householder Transformations
  Numerical Algebra, Control and Optimization (2023) doi 10.3934/naco.2023025
  Published Article
  Copy of Published Article
  

• S.W.R. Werner, M.L. Overton and B. Peherstorfer,
  Multi-Fidelity Robust Controller Design with Gradient Sampling
  SIAM J. Sci. Comput. 45 (2023), pp. A933-A957
  Published Article
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• T. Mitchell and M.L. Overton,
  On Properties of Univariate Max Functions at Local Maximizers
  Optimization Letters 16 (2022), pp. 2527--2541
  Published Article
  Copy of Published Article
  

• M.L. Overton,
  Local Minimizers of the Crouzeix Ratio: A Nonsmooth Optimization Case Study
  Calcolo (2022) 59:8 doi 10.1007/s10092-021-00448-z
  Published Article
  Copy of Published Article
  

• O.N. Kirillov and M.L. Overton,
  Finding the Strongest Stable Massless Column with a Follower Load and Relocatable Concentrated Masses
  Quart. J. Mech. Appl. Math. 74 (2021), pp. 223-250
  Published Article
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• A.S. Lewis and M.L. Overton,
  Partial Smoothness of the Numerical Radius at Matrices whose Fields of Values are Disks
  SIAM J. Matrix Anal. Appl. 41 (2020), pp. 1004–1032
  Published Article
  Copy of Published Article
  

• A. Asl and M.L. Overton,
  Behavior of Limited Memory BFGS when Applied to Nonsmooth Functions and their Nesterov Smoothings
  In: Numerical Analysis and Optimization, edited by M. Al-Baali, A. Purnama and L. Grandinetti, Springer (2021), pp. 25-56
  arXiv preprint
  Copy of arXiv preprint
  

• A. Greenbaum, R.-C. Li and M.L. Overton,
  First-order Perturbation Theory for Eigenvalues and Eigenvectors
  SIAM Review 62 (2020), pp. 463–482
  Published Article
  Copy of Published Article
  Supplementary materials: supporting m-files
  Copy of supplementary materials: supporting m-files
  

• A. Asl and M.L. Overton,
  Analysis of Limited-Memory BFGS on a Class of Nonsmooth Convex Functions
  IMA J. Numer. Anal. 41 (2021), pp. 1-27
  Published Article
  Copy of Published Article
  

• J.V. Burke, F.E. Curtis, A.S. Lewis, M.L. Overton,
  Research Highlight: The Gradient Sampling Methodology
  INFORMS Computing Society Newsletter, Spring 2019.
  Published Article
  Copy of Published Article
  

• J.V. Burke, F.E. Curtis, A.S. Lewis, M.L. Overton and L.E.A. Simões,
  Gradient Sampling Methods for Nonsmooth Optimization
  In: Numerical Nonsmooth Optimization, edited by A. Bagirov, M. Gaudioso, N. Karmitsa, M. Mäkelä and S. Taheri, Springer (2020), pp. 201-225.
  Book
  Copy of Book Chapter
  

• P. Benner, T. Mitchell and M.L. Overton,
  Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model
  2018 IEEE Conference on Decision and Control (CDC), pp. 3000--3005
  Published Article
  Copy of Published Article
  

• A. Asl and M.L. Overton,
  Analysis of the Gradient Method with an Armijo-Wolfe Line Search on a Class of Nonsmooth Convex Functions
  Optimization Methods and Software 35, (2019) pp. 223-242
  Published Article
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• N. Guglielmi, M. Gürbüzbalaban, T. Mitchell and M.L. Overton,
  Approximating the Real Structured Stability Radius with Frobenius Norm Bounded Perturbations
  SIAM J. Matrix Anal. Appl., 38 (2017), pp. 1323–1353.
  Published Article
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• A. Greenbaum and M.L. Overton,
  Numerical Investigation of Crouzeix's Conjecture
  Linear Algebra Applications 542 (2018), pp. 225-245.
  Published Article
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• A. Greenbaum, A.S. Lewis and M.L. Overton,
  Variational Analysis of the Crouzeix Ratio
  Math. Programming, 164 (2017), pp. 229-243.
  Published Article
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• F.E. Curtis, T. Mitchell and M.L. Overton,
  A BFGS-SQP Method for Nonsmooth, Nonconvex, Constrained Optimization and its Evaluation using Relative Minimization Profiles
  Optimization Methods and Software 32 (2017), pp. 148-181
  Published Article
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• T. Mitchell and M.L. Overton,
  Fixed Low-Order Controller Design and H_∞ Optimization for Large-Scale Dynamical Systems
  In: Proceedings of the 8th IFAC Symposium on Robust Control Design, Bratislava, Slovak Republic, July 8-11, 2015 (ROCOND 2015), pp. 25-30
  Published Article
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• J. Eaton, S. Grundel, M. Gürbüzbalaban and M.L. Overton,
  Polynomial Stabilization with Bounds on the Controller Coefficients
  In: Proceedings of 8th IFAC Symposium on Robust Control Design, Bratislava, 8-11 July 2015 (ROCOND 2015), pp. 381-386
  Copy of Published Article
  

• J. Eaton, S. Grundel, M. Gürbüzbalaban and M.L. Overton,
  Polynomial Root Radius Optimization with Affine Constraints
  Math. Programming 165 (2017), pp. 509–528
  Published Article
  Copy of Published Article
  

• T. Mitchell and M.L. Overton,
  Hybrid Expansion-Contraction: a Robust Scaleable Method for Approximating the H_∞ Norm
  IMA J. Numer. Anal. 36 (2016), pp. 985–1014
  Published Article
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• N. Guglielmi, M.L. Overton and G.W. Stewart,
  An Efficient Algorithm for Computing the Generalized Null Space Decomposition
  SIAM J. Matrix Anal. Appl. 36 (2015), pp. 38-54
  Published Article
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• I. M. Bomze and M.L. Overton,
  Narrowing the Difficulty Gap for the Celis-Dennis-Tapia Problem
  Math. Programming 151 (2015), pp. 459-476
  Published Article
  PDF (final version submitted to journal)
  

• O. Kirillov and M.L. Overton,
  Robust Stability at the Swallowtail Singularity
  Frontiers in Mathematical Physics 1 (2013), Article 24, doi: 10.3389/fphy.2013.00024
  Published Article
  

• M.L. Overton,
  Stability Optimization for Polynomials and Matrices
  In: Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations (O. Kirillov and D. Pelinovsky, eds.), Wiley, 2014, pp. 351-375.
  PDF
  

• N. Guglielmi, M. Gürbüzbalaban and M.L. Overton,
  Fast Approximation of the H_∞ Norm via Optimization over Spectral Value Sets
  SIAM J. Matrix Anal. Appl. 34 (2013), pp. 709-737
  Published Article
  Copy of Published Article
  

• S. Grundel and M.L. Overton,
  Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue
  Set-Valued and Variational Analysis 22 (2014), pp. 19-43
  Published Article
  Copy of Published Article
  

• C. Helmberg, F. Rendl and M.L. Overton,
  The Spectral Bundle Method with Second-Order Information
  Optimization Methods and Software 29 (2014), pp. 855-876
  Published Article
  Copy of Published Article
  

• A.S. Lewis and M.L. Overton,
  Nonsmooth Optimization via Quasi-Newton Methods
  Math. Programming 141 (2013), pp. 135-163
  Published Article
  Copy of Published Article
  

• V.D. Blondel, M. Gürbüzbalaban, A. Megretski and M.L. Overton,
  Explicit Solutions for Root Optimization of a Polynomial Family with One Affine Constraint
  IEEE Trans. Auto. Control 57 (2012), pp. 3078 - 3089
  Published Article
  Copy of Published Article
  

• F.E. Curtis and M.L. Overton,
  A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization
  SIAM J. Optimization 22 (2012), pp. 474-500
  Published Article
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• M. Gürbüzbalaban and M.L. Overton,
  Some Regularity Results for the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix
  SIAM J. Optimization 22 (2012), pp. 281-285
  Published Article
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• M. Gürbüzbalaban and M.L. Overton,
  On Nesterov's Nonsmooth Chebyshev-Rosenbrock Functions
  Nonlinear Analysis: Theory, Methods and Applications 75 (2012), pp. 1282-1289
  Published Article
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• N. Guglielmi and M.L. Overton,
  Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix
  SIAM J. Matrix Anal. Appl. 32 (2011), pp. 1166-1192
  Published Article
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• V.D. Blondel, M. Gürbüzbalaban, A. Megretski and M.L. Overton,
  Explicit Solutions for Root Optimization of a Polynomial Family
  Proceedings of the 49th IEEE Conference on Decision and Control (CDC 2010)
  PDF
  

• C. Greif and M.L. Overton,
  An Analysis of Low-Rank Modifications of Preconditioners for Saddle Point Systems
  Elec. Trans. Numer. Anal. 37 (2010), pp. 307-320
  Published Article
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• Z. Deng, M. Gu and M.L. Overton,
  Structured Primal-Dual Interior-Point Methods for Banded Semidefinite Programming
  Operator Theory: Advances and Applications 202 (2009), pp. 111-141.

• R. Alam, S. Bora, R. Byers and M.L. Overton,
  Characterization and Construction of the Nearest Defective Matrix via Coalescence of Pseudospectral Components
  Linear Algebra and its Applications 435 (2011), pp. 494-513
  Published Article
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• A.S. Lewis and M.L. Overton,
  Nonsmooth Optimization via BFGS
  PDF
  

• A.S. Lewis and M.L. Overton,
  Behavior of BFGS with an Exact Line Search on Nonsmooth Examples
  PDF
  

• S. Gumussoy, D. Henrion, M. Millstone and M.L. Overton,
  Multiobjective Robust Control with HIFOO 2.0
  In: Proceedings of 6th IFAC Symposium on Robust Control Design, Haifa, 16-18 June 2009 (ROCOND 2009)
  PDF
  

• S. Gumussoy, M. Millstone and M.L. Overton,
  H-infinity Strong Stabilization via HIFOO, a Package for Fixed-Order Controller Design
  In: Proceedings of 47th IEEE Conference on Decision and Control (CDC 2008), Cancun, 9-11 Dec. 2008, pp. 4135 - 4140
  PDF

• S. Gumussoy and M.L. Overton,
  Fixed-Order H-infinity Controller Design via HIFOO, a Specialized Nonsmooth Optimization Package
  In: Proceedings of American Control Conference, 2008 (ACC 2008), Seattle, 11-13 June 2008 (ACC 2008) pp. 2750-2754
  PDF

• J.V. Burke, A.S. Lewis and M.L. Overton,
  The Speed of Shor's R-Algorithm
  IMA J. Numer. Anal. 28 (2008), pp. 711-720
  Published Article
  Copy of Published Article (pdf)
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Spectral Conditioning and Pseudospectral Growth
  Numerische Mathematik 107 (2007), pp. 27-37
  Published Article
  Copy of Published Article (pdf)

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Convexity and Lipschitz Behavior of Small Pseudospectra
  SIAM J. Matrix Anal. Appl. 29 (2007), pp. 586-595
  Published Article
  Final Submitted Version(pdf)
  

• M. Fukuda, B.J. Braams, M. Nakata, M.L. Overton, J.K. Percus, M. Yamashita and Z. Zhao
  Large-Scale Semidefinite Programs in Electronic Structure Calculation
  Math. Programming 109 (2007), pp. 553-580.
  Published Article
  Copy of Published Article (pdf)

• K. K. Gade and M.L. Overton,
  Optimizing the Asymptotic Convergence Rate of the Diaconis-Holmes-Neal Sampler
  Advances in Applied Mathematics 38 (2007) pp. 382-403
  Published Article
  Copy of Published Article (pdf)
  

• D. Henrion and M.L. Overton,
  Maximizing the Closed Loop Asymptotic Decay Rate for the Two-Mass-Spring Control Problem
  PDF

• J.V. Burke, D. Henrion, A.S. Lewis and M.L. Overton,
  Stabilization via Nonsmooth, Nonconvex Optimization
  IEEE Transactions on Automatic Control 51 (2006) pp. 1760-1769
  Published Article
  PDF (revised version sent to publisher)
  

• M. Gu, E. Mengi, M.L. Overton, J. Xia and J. Zhu,
  Fast Methods for Estimating the Distance to Uncontrollability
  SIAM J. Matrix Anal. Appl. 28 (2006), pp. 477-502
  Published Article
  Copy of Published Article (pdf)
  

• M. Gu and M.L. Overton,
  An Algorithm to Compute Sep_Lambda
  SIAM J. Matrix Anal. Appl. 28 (2006), pp. 348-359.
  Published Article
  Copy of Published Article (pdf)
  

• J.V. Burke, D. Henrion, A.S. Lewis and M.L. Overton,
  HIFOO - A MATLAB Package for Fixed-Order Controller Design and H-infinity Optimization
  In: Proceedings of 5th IFAC Symposium on Robust Control Design, Toulouse, July 2006 (ROCOND 2006)
  PDF

• M.L. Overton and P. Van Dooren,
  On Computing the Complex Passivity Radius
  In: Proceedings of CDC-ECC 05, Sevilla, Dec 2005
  PDF
  Bibliographic Update
  

• E. Mengi and M.L. Overton,
  Algorithms for the Computation of the Pseudospectral Radius and the Numerical Radius of a Matrix
  IMA Journal of Numerical Analysis 25 (2005) pp. 648-669.
  Published Article
  Copy of Published Article (pdf)
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization
  SIAM J. Optimization 15 (2005), pp. 751-779.
  Published Article
  Copy of Published Article (pdf)
  Problem Data and Software
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Variational Analysis of Functions of the Roots of Polynomials
  Math Programming 104 (2005), pp. 263-292.
  Published Article
  Copy of Published Article (pdf)
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Pseudospectral Components and the Distance to Uncontrollability
  SIAM J. Matrix Anal. Appl. 26 (2004), pp. 350-361.
  Published Article
  Copy of Published Article (pdf)
  

• Z. Zhao, B.J. Braams, M. Fukuda, M.L. Overton and J.K. Percus
  The Reduced Density Matrix Method for Electronic Structure Calculations and the Role of Three-Index Representability
  Journal of Chemical Physics 120 (2004), pp. 2095-2104
  Published Article
  PDF (original submission)
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  A Nonsmooth, Nonconvex Optimization Approach to Robust Stabilization by Static Output Feedback and Low-Order Controllers
  In: S.Bittanti and P. Colaneri, eds., Proceedings of 4th IFAC Symposium on Robust Control Design, Milan, June 2003 (ROCOND 2003), pp. 175-181 (Elsevier, 2004)
  PDF
  Individual figures and problem data
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Variational Analysis of the Abscissa Mapping for Polynomials via the Gauss-Lucas Theorem
  Journal of Global Optimization 28 (2004), pp. 259-268.
  Published Article
  Copy of Published Article (pdf)
  

• B. Han, M.L. Overton and T. P.-Y. Yu,
  Design of Hermite Subdivision Schemes Aided by Spectral Radius Optimization
  SIAM J. Scient. Comp. 25 (2003), pp. 643-656.
  Published Article
  Copy of Published Article (pdf)
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Robust Stability and A Criss-Cross Algorithm for Pseudospectra
  IMA Journal of Numerical Analysis 23 (2003), pp. 359-375.
  Published Article
  Copy of Published Article (pdf)
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Optimization and Pseudospectra, with Applications to Robust Stability
  SIAM J. Matrix Anal. Appl. 25 (2003), pp. 80-104.
  Published Article
  Copy of Published Article (pdf)
  Corrigendum
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Approximating Subdifferentials by Random Sampling of Gradients
  Mathematics of Operations Research 27 (2002), pp. 567-584.
  Published Article
  Final version sent to publisher (pdf)
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Two Numerical Methods for Optimizing Matrix Stability
  Linear Algebra and its Applications 351-352 (2002), pp. 117-145.
  Published Article
  Copy of Published Article (pdf)
  Other Supporting Files
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Optimal Stability and Eigenvalue Multiplicity
  Foundations of Computational Mathematics 1 (2001), pp. 205-225.
  Published Article
  Copy of Published Article (pdf)
  

• J.V. Burke, A.S. Lewis and M.L. Overton,
  Optimizing Matrix Stability Proceedings of the American Mathematical Society 129 (2001), pp. 1635-1642.
  Published Article
  Copy of Published Article (pdf)
  

• J.V. Burke and M.L. Overton,
  Variational Analysis of the Abscissa Mapping for Polynomials
  SIAM J. Control Optim. 39 (2001), pp. 1651-1676.
  Published Article
  Copy of Published Article (pdf)
  

• J.V. Burke and M.L. Overton,
  Variational Analysis of Non-Lipschitz Spectral Functions
  Math. Programming 90 (2001), pp. 317-351.
  Published Article
  Copy of Published Article (pdf)
  

• K.D. Andersen, E. Christiansen, A.R. Conn and M.L. Overton,
  An Efficient Primal-Dual Interior-Point Method for Minimizing a Sum of Euclidean Norms
  SIAM J. Scient. Comp. 22 (2000), pp. 243-262.
  Published Article
  Copy of Published Article (pdf)
  

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