Pseudospectra and Spectral Values Sets of Nonsymmetric Matrices

  • N. Guglielmi, M. Gürbüzbalaban, T. Mitchell and M.L. Overton,
    Approximating the Real Structured Stability Radius with Frobenius Norm Bounded Perturbations
    SIAM J. Matrix Anal. Appl., 38 (2017), pp. 1323–1353.
    Published Article
    Copy of Published Article

  • T. Mitchell and M.L. Overton,
    Hybrid Expansion-Contraction: a Robust Scaleable Method for Approximating the H∞ Norm
    IMA J. Numer. Anal., 2015, doi: 10.1093/imanum/drv046
    Published Article

  • N. Guglielmi, M. Gürbüzbalaban and M.L. Overton,
    Fast Approximation of the H∞ Norm via Optimization over Spectral Value Sets
    SIAM J. Matrix Anal. Appl. 34 (2013), pp. 709-737
    Published Article
    Copy of Published Article

  • M. Gürbüzbalaban and M.L. Overton,
    Some Regularity Results for the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix
    SIAM J. Optimization 22 (2012), pp. 281-285
    Published Article
    Copy of Published Article

  • N. Guglielmi and M.L. Overton,
    Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix
    SIAM J. Matrix Anal. Appl. 32 (2011), pp. 1166-1192
    Published Article
     Copy of Published Article

  • R. Alam, S. Bora, R. Byers and M.L. Overton,
    Characterization and Construction of the Nearest Defective Matrix via Coalescence of Pseudospectral Components
    Linear Algebra and its Applications 435 (2011), pp. 494-513
    Published Article
    Copy of Published Article

  • J.V. Burke, A.S. Lewis and M.L. Overton,
    Spectral Conditioning and Pseudospectral Growth
    Numerische Mathematik 107 (2007), pp. 27-37
    Published Article
    Copy of Published Article (pdf)

  • J.V. Burke, A.S. Lewis and M.L. Overton,
    Convexity and Lipschitz Behavior of Small Pseudospectra
    SIAM J. Matrix Anal. Appl. 29 (2007), pp. 586-595
    Published Article
    Final Submitted Version (pdf)

  • M. Gu and M.L. Overton,
    An Algorithm to Compute Sep_Lambda
    SIAM J. Matrix Anal. Appl. 28 (2006), pp. 348-359
    Published Article
    Copy of Published Article (pdf)

  • E. Mengi and M.L. Overton,
    Algorithms for the Computation of the Pseudospectral Radius and the Numerical Radius of a Matrix
    IMA Journal of Numerical Analysis 25 (2005) pp. 648-669
    Published Article
    Copy of Published Article (pdf)

  • J.V. Burke, A.S. Lewis and M.L. Overton,
    Pseudospectral Components and the Distance to Uncontrollability
    SIAM J. Matrix Anal. Appl. 26 (2004), pp. 350-361
    Published Article
    Copy of Published Article (pdf)

  • J.V. Burke, A.S. Lewis and M.L. Overton,
    A Nonsmooth, Nonconvex Optimization Approach to Robust Stabilization by Static Output Feedback and Low-Order Controllers
    In: S.Bittanti and P. Colaneri, eds., Proceedings of Fourth IFAC Symposium on Robust Control Design, Milan, June 2003, pp. 175-181 (Elsevier, 2004)
    PDF
    Individual figures and problem data

  • J.V. Burke, A.S. Lewis and M.L. Overton,
    Robust Stability and A Criss-Cross Algorithm for Pseudospectra
    IMA Journal of Numerical Analysis 23 (2003), pp. 359-375.
    Published Article
    Copy of Published Article (pdf)

  • J.V. Burke, A.S. Lewis and M.L. Overton,
    Optimization and Pseudospectra, with Applications to Robust Stability
    SIAM J. Matrix Anal. Appl. 25 (2003), pp. 80-104.
    Published Article
    Copy of Published Article (pdf)
    Corrigendum
    Other Research Topics