- N. Guglielmi, M. Gürbüzbalaban, T. Mitchell and M.L. Overton,

**Approximating the Real Structured Stability Radius with Frobenius Norm Bounded Perturbations**

Submitted to SIAM J. Matrix Anal. Appl., 2016.

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- 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

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- 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

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- 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

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- 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

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- 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

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- M. Gu and M.L. Overton,

**An Algorithm to Compute Sep_Lambda**

*SIAM J. Matrix Anal. Appl.*28 (2006), pp. 348-359

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- 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

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- 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

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- 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)

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- 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.

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- 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.

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Corrigendum

**Other Research Topics**