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.