Nonsmooth Analysis

• 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. Greenbaum, A.S. Lewis and M.L. Overton,
  Variational Analysis of the Crouzeix Ratio
  Math. Programming, 164 (2016), pp. 229-243.
  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
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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
  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
  

• 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)
  

• 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,
  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)
  

• 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,
  Optimal Stability and Eigenvalue Multiplicity
  Foundations of Computational Mathematics 1 (2001), pp. 205-225.
  Published Article
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• 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)
  

• M.L. Overton and X.-J. Ye,
  Towards Second-Order Methods for Structured Nonsmooth Optimization
  In: S.Gomez and J.P. Hennart, eds., Advances in Optimization and Numerical Analysis, Kluwer, 1994, pp. 97-110.
  Postscript (final version sent to publisher)
  

• J.V. Burke and M.L. Overton,
  Differential Properties of the Spectral Abscissa and the Spectral Radius for Analytic Matrix--Valued Mappings
  J. Nonl. Anal.: Theory, Methods, Appl. 23 (1994), pp. 467-488.
  Postscript (final version sent to publisher)
  

• J.V. Burke and M.L. Overton,
  On the Subdifferentiability of Functions of a Matrix Spectrum
  I: Mathematical Foundations; II: Subdifferential Formulas
  In: F. Giannessi (ed.), Nonsmooth Optimization: Methods and Applications, Gordon and Breach, Philadelphia, 1992, pp. 11-18 and 19-29.
  I: Dvi (final version sent to publisher)
  II: Dvi (final version sent to publisher)
  

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  E-mail address: overton@cs.nyu.edu
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