Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L. Approximating the real structured stability radius with Frobenius-norm bounded perturbations. (English) Zbl 1379.65040 SIAM J. Matrix Anal. Appl. 38, No. 4, 1323-1353 (2017). MSC: 65K10 93D09 93C55 93C05 65F50 93D25 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1323--1353 (2017; Zbl 1379.65040) Full Text: DOI arXiv
Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L. Fast approximation of the \(H_\infty\) norm via optimization over spectral value sets. (English) Zbl 1271.93057 SIAM J. Matrix Anal. Appl. 34, No. 2, 709-737 (2013). MSC: 93B40 93B25 93B60 93C05 93C80 65F15 15A18 90C06 93C55 65F50 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 34, No. 2, 709--737 (2013; Zbl 1271.93057) Full Text: DOI
Guglielmi, Nicola; Overton, Michael L. Fast algorithms for the approximation of the pseudospectral abscissa and pseudospectral radius of a matrix. (English) Zbl 1248.65034 SIAM J. Matrix Anal. Appl. 32, No. 4, 1166-1192 (2011). Reviewer: R. Militaru (Craiova) MSC: 65F05 65F50 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. L. Overton}, SIAM J. Matrix Anal. Appl. 32, No. 4, 1166--1192 (2011; Zbl 1248.65034) Full Text: DOI Link
Han, Bin; Overton, Michael L.; Yu, Thomas P.-Y. Design of Hermite subdivision schemes aided by spectral radius optimization. (English) Zbl 1037.42035 SIAM J. Sci. Comput. 25, No. 2, 643-656 (2003). MSC: 42C40 39B12 15A18 46E35 PDFBibTeX XMLCite \textit{B. Han} et al., SIAM J. Sci. Comput. 25, No. 2, 643--656 (2003; Zbl 1037.42035) Full Text: DOI
Burke, J. V.; Lewis, A. S.; Overton, M. L. Optimization and pseudospectra, with applications to robust stability. (English) Zbl 1061.15007 SIAM J. Matrix Anal. Appl. 25, No. 1, 80-104 (2003). MSC: 15A18 65F15 93D09 PDFBibTeX XMLCite \textit{J. V. Burke} et al., SIAM J. Matrix Anal. Appl. 25, No. 1, 80--104 (2003; Zbl 1061.15007) Full Text: DOI
Burke, James V.; Overton, Michael L. Variational analysis of non-Lipschitz spectral functions. (English) Zbl 0988.15005 Math. Program. 90, No. 2 (A), 317-351 (2001). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 15A42 34D05 49J52 49R50 90C26 PDFBibTeX XMLCite \textit{J. V. Burke} and \textit{M. L. Overton}, Math. Program. 90, No. 2 (A), 317--351 (2001; Zbl 0988.15005) Full Text: DOI
Burke, James V.; Overton, Michael L. Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings. (English) Zbl 0815.47007 Nonlinear Anal., Theory Methods Appl. 23, No. 4, 467-488 (1994). Reviewer: T.V.Tonev (Missoula) MSC: 47A56 34D20 PDFBibTeX XMLCite \textit{J. V. Burke} and \textit{M. L. Overton}, Nonlinear Anal., Theory Methods Appl. 23, No. 4, 467--488 (1994; Zbl 0815.47007) Full Text: DOI
Burke, James V.; Overton, Michael L. Stable perturbations of nonsymmetric matrices. (English) Zbl 0756.15023 Linear Algebra Appl. 171, 249-273 (1992). Reviewer: Yang Yingchen (Beijing) MSC: 15A42 15A18 15A21 34D10 PDFBibTeX XMLCite \textit{J. V. Burke} and \textit{M. L. Overton}, Linear Algebra Appl. 171, 249--273 (1992; Zbl 0756.15023) Full Text: DOI
Overton, Michael L.; Womersley, Robert S. On minimizing the spectral radius of a nonsymmetric matrix function: Optimality conditions and duality theory. (English) Zbl 0684.65062 SIAM J. Matrix Anal. Appl. 9, No. 4, 473-498 (1988). Reviewer: M.Jung MSC: 65K05 65F30 65F15 90C25 PDFBibTeX XMLCite \textit{M. L. Overton} and \textit{R. S. Womersley}, SIAM J. Matrix Anal. Appl. 9, No. 4, 473--498 (1988; Zbl 0684.65062) Full Text: DOI
Golub, Gene H.; Overton, Michael L. The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. (English) Zbl 0661.65033 Numer. Math. 53, No. 5, 571-593 (1988). Reviewer: O.Hübner MSC: 65F10 PDFBibTeX XMLCite \textit{G. H. Golub} and \textit{M. L. Overton}, Numer. Math. 53, No. 5, 571--593 (1988; Zbl 0661.65033) Full Text: DOI EuDML