All Papers Since 2000

• N. Guglielmi, M. Gürbüzbalaban and M.L. Overton,
  Fast Approximation of the H_∞ Norm via Optimization over Spectral Value Sets
  Submitted to SIAM J. Matrix Anal. Appl., May 2012
  PDF
  

• V.D. Blondel, M. Gürbüzbalaban, A. Megretski and M.L. Overton,
  Explicit Solutions for Root Optimization of a Polynomial Family with One Affine Constraint
  To appear in IEEE Trans. Auto. Control
  PDF
  

• A.S. Lewis and M.L. Overton,
  Nonsmooth Optimization via Quasi-Newton Methods
  To appear in Math. Programming
  PDF
  

• 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
  PDF
  

• 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
  Copy of Published Article
  

• 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
  Copy of Published Article
  

• 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
  Copy of Published Article
  

• 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
  Copy of Published Article
  

• 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
  PDF (final version sent to publisher)
  

• 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 (ROCOND 2009), Haifa, 16-18 June 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
  Final version sent to publisher
  

• 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, 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. 317-352.
  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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