- A. Greenbaum, A.S. Lewis and M.L. Overton,

**Variational Analysis of the Crouzeix Ratio**

Submitted to Math. Programming, Jan 2016.

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- S. Grundel and M.L. Overton,

**Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue**

To appear in Set-Valued and Variational Analysis, 2013

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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

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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

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

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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

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

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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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