2003 Publications

  • A robust gradient sampling algorithm for nonsmooth, nonconvex optimization
    J.V. Burke, A.S. Lewis, and M.L. Overton, submitted to SIAM Journal on Optimization.

  • The mathematics of eigenvalue optimization
    A.S. Lewis, Mathematical Programming 97 (2003) 155-176.

  • Robust stability and a criss-cross algorithm for pseudospectra
    J.V. Burke, A.S. Lewis and M.L. Overton, IMA Journal of Numerical Analysis 23 (2003) 1-17.

  • A nonsmooth, nonconvex optimization approach to robust stabilization by static output feedback and low-order controllers
    J.V. Burke, A.S. Lewis and M.L. Overton, Proceedings of ROCOND 2003, Milan, June 2003.

  • Differentiability of cone-monotone functions on separable Banach space
    J.M. Borwein, J.V. Burke and A.S. Lewis, Proceedings of the American Mathematical Society. 132 (2003) 1067-1076.

  • Optimization and pseudospectra, with applications to robust stability
    J.V. Burke, A.S. Lewis and M.L. Overton, SIAM Journal on Matrix Analysis and Applications 25 (2003) 80-104.

  • Active sets, nonsmoothness and sensitivity
    A.S. Lewis, SIAM Journal on Optimization 13 (2003) 702-725.

  • The radius of metric regularity
    A.L. Dontchev, A.S. Lewis and R.T. Rockafellar, Transactions of the American Mathematical Society 355 (2003) 493-517.