Nonsmooth Analysis

• 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. 317-352.
  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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