Variational Analysis of Spectral Functions for Non-Symmetric Matrices

• Variational Analysis of Convexly Generated Spectral Max Functions.
  with Julie Eaton. Mathematical Programming 168(2018): 63 - 92. Published online, DOI 10.1007/s10107-016-1088-1, January, 2016.
• Spectral conditioning and pseudospectral growth,
  with Adrian S. Lewis, and Michael L. Overton. Numerische Mathematik, 107(2007) 27-37.
• Convexity and Lipschitz behavior for small pseudospectra,
  with Adrian S. Lewis and Michael L. Overton, SIAM J. Matrix Analysis, 29(2007) 586-595.
• HIFOO - A MATLAB package for fixed-order controller design and H-infinity optimization,
  with Didier Henrion, Adrian S. Lewis, and Michael L. Overton, in the proceedings of the International Federation of Automatic Control Conference on Robust Control Design, Toulouse, July 2006.
• Stabilization via nonsmooth, nonconvex optimization,
  with Didier Henrion, Adrian S. Lewis, and Michael L. Overton, IEEE Transactions on Automatic Control, 51(2006) 1760-1769.
• A Nonsmooth, Nonconvex Optimization Approach to Robust Stabilization by Static Output Feedback and Low-Order Controllers,
  with Michael Overton and Adrian Lewis, Proceedings of the International Federation of Automatic Control, Milan, June, 2003, Conference on Robust Control Design.
• Two numerical methods for optimizing matrix stability,
  with Adrian Lewis and Michael Overton, Linear Algebra and its Applications, 351-352(2002), 117--145.
• Optimal stability and eigenvalue multiplicity,
  with Adrian Lewis and Michael Overton, Foundations of Computational Mathematics, 1(2001), 205--225.
• Variational analysis of non--Lipschitz spectral functions,
  with Michael Overton, Math. Programming, 90(2001), 317--351.
• Optimizing matrix stability,
  with Adrian Lewis and Michael Overton, Proc. of the American Math. Soc., 129(2001), 1635--1642.
• On the Lidskii--Vishik--Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure,
  with J. Moro and M. L. Overton, SIAM J. Matrix Anal. Appl., 18 (1997), 793--817.
• Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings,
  with M. L. Overton, Journal of Nonlinear Analysis, Theory, Methods, and Applications, 23(1994), 467--488.
• On the subdifferentiability of functions of a matrix spectrum, II: Subdifferential formulas,
  with M. L. Overton, Nonsmooth Optimization: Methods and Applications, Ed. F. Giannessi, (1992) pp. 19--29.
• On the subdifferentiability of functions of a matrix spectrum, I: Mathematical foundations,
  with M. L. Overton, Nonsmooth Optimization: Methods and Applications, Ed. F. Giannessi, (1992) pp. 11--18.
• Stable perturbations of nonsymmetric matrices,
  with M. L. Overton, Linear Algebra and Its Applications, 171(1992), 249--273.