2005 Publications
Clarke critical values of subanalytic Lipschitz continuous functions
J. Bolte, A. Daniilidis, A.S. Lewis and M. Shiota,
Annales Polonici Mathematici
87 (2005), 13-25.
Estimating tangent and normal cones without calculus
W.L. Hare and A.S. Lewis,
Mathematics of Operations Research
30 (2005), 785-799.
Perturbations and metric regularity
A.L. Dontchev and A.S. Lewis,
Set-Valued Analysis
13 (2005), 417-438.
Nonsmooth analysis of singular values. Part I: Theory
A.S. Lewis and H.S. Sendov,
Set-Valued Analysis
13 (2005), 213-241.
Nonsmooth analysis of singular values. Part II: Applications
A.S. Lewis and H.S. Sendov,
Set-Valued Analysis
13 (2005), 243-264.
Variational analysis of functions of the roots of polynomials
J.V. Burke, A.S. Lewis, and M.L. Overton,
Mathematical Programming
104 (2005), 263-292.
A robust gradient sampling algorithm for nonsmooth, nonconvex optimization
J.V. Burke, A.S. Lewis, and M.L. Overton,
SIAM Journal on Optimization
25 (2005), 751-779.
The Lax conjecture is true
A.S. Lewis, P. Parrilo and M. Ramana,
Proceedings of the American Mathematical Society
133 (2005), 2495-2499.
Eigenvalues and nonsmooth optimization
A.S. Lewis,
in Foundations of Computational Mathematics, Santander 2005, L.M. Pardo, A. Pinkus, E. Suli and M.J. Todd (eds).
Local structure and algorithms in nonsmooth optimization
A.S. Lewis,
Proceedings of the 2005 Oberwolfach Workshop on Optimization.