2007 Publications

  • Local convergence for alternating and averaged nonconvex projections
    A.S. Lewis, D.R. Luke and J. Malick, submitted to Foundations of Computational Mathematics.

  • The speed of Shor's R-algorithm
    J.V. Burke, A.S. Lewis and M.L. Overton, submitted to IMA Journal on Numerical Analysis.

  • Variational analysis of pseudospectra
    A.S. Lewis and C.H.J. Pang, submitted to SIAM Journal on Optimization.

  • Nonsmooth optimization and robust control
    A.S. Lewis, accepted by IFAC Annual Reviews.

  • Alternating projections on manifolds
    A.S. Lewis and J. Malick, accepted by Mathematics of Operations Research.

  • Critical points of simple functions
    A.D. Ioffe and A.S. Lewis, accepted by Optimization.

  • Spectral conditioning and pseudospectral growth
    J.V. Burke, A.S. Lewis and M.L. Overton, Numerische Mathematik 107 (2007), 27--37.

  • Identifying active manifolds
    W.D. Hare and A.S. Lewis, Algorithmic Operations Research 2 (2007), 75--82.

  • Clarke subgradients of stratifiable functions
    J. Bolte, A. Daniilidis, A.S. Lewis and M. Shiota, SIAM Journal on Optimization 18 (2007) 556--572.

  • The Lojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems
    J. Bolte, A. Daniilidis and A.S. Lewis, SIAM Journal on Optimization 17 (2007), 1205--1223.

  • Tame mappings are semismooth
    J. Bolte, A. Daniilidis and A.S. Lewis, Mathematical Programming (2007).

  • Convexity and Lipschitz behavior of small pseudospectra
    J.V. Burke, A.S. Lewis and M.L. Overton, SIAM Journal on Matrix Analysis and Applications 29 (2007) 586--595.