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
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- 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
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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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- 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
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(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
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- 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
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- 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
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- 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
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- 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
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- J.V. Burke and M.L. Overton,
Variational Analysis of Non-Lipschitz Spectral Functions
Math. Programming 90 (2001), pp. 317-351.
Published Article
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- 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)
E-mail address: overton@cs.nyu.edu
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