- A. Asl and M.L. Overton,

**Behavior of Limited Memory BFGS when Applied to Nonsmooth Functions and their Nesterov Smoothings**

In: Numerical Analysis and Optimization, edited by M. Al-Baali, A. Purnama and L. Grandinetti, Springer (2021), pp. 25-56

arXiv preprint

Copy of arXiv preprint

- J.V. Burke, F.E. Curtis, A.S. Lewis, M.L. Overton,

**Research Highlight: The Gradient Sampling Methodology**

INFORMS Computing Society Newsletter, Spring 2019.

Published Article

Copy of Published Article

- A. Asl and M.L. Overton,

**Analysis of Limited-Memory BFGS on a Class of Nonsmooth Convex Functions**

IMA J. Numer. Anal. 41 (2021), pp. 1-27

Published Article

Copy of Published Article

- A. Asl and M.L. Overton,

**Analysis of the Gradient Method with an Armijo-Wolfe Line Search on a Class of Nonsmooth Convex Functions**

Optimization Methods and Software 35 (2019),pp. 223-242

Published Article

Copy of Published Article

arXiv preprint

- J.V. Burke, F.E. Curtis, A.S. Lewis, M.L. Overton and L.E.A. Simões,

**Gradient Sampling Methods for Nonsmooth Optimization**

In: Numerical Nonsmooth Optimization, edited by A. Bagirov, M. Gaudioso, N. Karmitsa, M. Mäkelä and S. Taheri, Springer (2020), pp. 201-225.

Book

Copy of Book Chapter

- F.E. Curtis, T. Mitchell and M.L. Overton,

**A BFGS-SQP Method for Nonsmooth, Nonconvex, Constrained Optimization and its Evaluation using Relative Minimization Profiles**

Optimization Methods and Software 32 (2017), pp. 148-181

PDF

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

**Nonsmooth Optimization via Quasi-Newton Methods**

Math. Programming 141 (2013), pp. 135-163

Published Article

Copy of Published Article

- 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

Copy of Published Article

- 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

- 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,

**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,

**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

- Go here for Optimization of Eigenvalues of Nonsymmetric Matrices and Roots of Polynomials

- Go here for Nonsmooth Analysis

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