D’Ambrosio, Raffaele; Guglielmi, Nicola; Scalone, Carmela Destabilising nonnormal stochastic differential equations. (English) Zbl 1515.65024 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1632-1642 (2023). MSC: 65C30 60H10 65Fxx PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1632--1642 (2023; Zbl 1515.65024) Full Text: DOI
Noferini, Vanni; Poloni, Federico Nearest \(\Omega \)-stable matrix via Riemannian optimization. (English) Zbl 1472.15030 Numer. Math. 148, No. 4, 817-851 (2021). MSC: 15A60 15A29 15A18 65K05 65K10 49M37 49K40 PDFBibTeX XMLCite \textit{V. Noferini} and \textit{F. Poloni}, Numer. Math. 148, No. 4, 817--851 (2021; Zbl 1472.15030) Full Text: DOI arXiv Backlinks: MO
Guglielmi, Nicola; Manetta, Manuela Stability of gyroscopic systems with respect to perturbations. (English) Zbl 1459.70019 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 253-266 (2019). MSC: 70E50 93D09 15A24 34D10 70E05 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Manetta}, Springer INdAM Ser. 30, 253--266 (2019; Zbl 1459.70019) Full Text: DOI
Benner, Peter; Mitchell, Tim Extended and improved criss-cross algorithms for computing the spectral value set abscissa and radius. (English) Zbl 1457.93066 SIAM J. Matrix Anal. Appl. 40, No. 4, 1325-1352 (2019). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 93D09 93C05 93B36 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Mitchell}, SIAM J. Matrix Anal. Appl. 40, No. 4, 1325--1352 (2019; Zbl 1457.93066) Full Text: DOI arXiv
Benner, Peter; Mitchell, Tim Faster and more accurate computation of the \(\mathcal{H}_\infty\) norm via optimization. (English) Zbl 1401.93087 SIAM J. Sci. Comput. 40, No. 5, A3609-A3635 (2018). MSC: 93B36 93C05 93C55 93A15 93B40 93D09 93-04 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Mitchell}, SIAM J. Sci. Comput. 40, No. 5, A3609--A3635 (2018; Zbl 1401.93087) Full Text: DOI arXiv
Rostami, Minghao W.; Xue, Fei Robust linear stability analysis and a new method for computing the action of the matrix exponential. (English) Zbl 1401.65019 SIAM J. Sci. Comput. 40, No. 5, A3344-A3370 (2018). MSC: 65D05 65F15 65F50 PDFBibTeX XMLCite \textit{M. W. Rostami} and \textit{F. Xue}, SIAM J. Sci. Comput. 40, No. 5, A3344--A3370 (2018; Zbl 1401.65019) Full Text: DOI
Church, Kevin E. M.; Smith?, Robert Continuous approximation of linear impulsive systems and a new form of robust stability. (English) Zbl 1375.34027 J. Math. Anal. Appl. 457, No. 1, 616-644 (2018). Reviewer: Abdullah Özbekler (Ankara) MSC: 34A37 34A30 93D09 PDFBibTeX XMLCite \textit{K. E. M. Church} and \textit{R. Smith?}, J. Math. Anal. Appl. 457, No. 1, 616--644 (2018; Zbl 1375.34027) Full Text: DOI Link
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
Embree, Mark; Keeler, Blake Pseudospectra of matrix pencils for transient analysis of differential-algebraic equations. (English) Zbl 1379.65058 SIAM J. Matrix Anal. Appl. 38, No. 3, 1028-1054 (2017). MSC: 65L80 65L20 34A09 15A22 65F15 PDFBibTeX XMLCite \textit{M. Embree} and \textit{B. Keeler}, SIAM J. Matrix Anal. Appl. 38, No. 3, 1028--1054 (2017; Zbl 1379.65058) Full Text: DOI arXiv
Guglielmi, Nicola; Rehman, Mutti-Ur; Kressner, Daniel A novel iterative method to approximate structured singular values. (English) Zbl 1365.65101 SIAM J. Matrix Anal. Appl. 38, No. 2, 361-386 (2017). MSC: 65F20 15A18 93D05 65K10 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 38, No. 2, 361--386 (2017; Zbl 1365.65101) Full Text: DOI arXiv
Guglielmi, Nicola On the method by Rostami for computing the real stability radius of large and sparse matrices. (English) Zbl 1339.65053 SIAM J. Sci. Comput. 38, No. 3, A1662-A1681 (2016). MSC: 65F15 65F50 65F10 PDFBibTeX XMLCite \textit{N. Guglielmi}, SIAM J. Sci. Comput. 38, No. 3, A1662--A1681 (2016; Zbl 1339.65053) Full Text: DOI
Guglielmi, Nicola; Manetta, Manuela An iterative method for computing robustness of polynomial stability. (English) Zbl 1327.15013 J. Comput. Appl. Math. 292, 638-653 (2016). MSC: 15A18 65K05 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Manetta}, J. Comput. Appl. Math. 292, 638--653 (2016; Zbl 1327.15013) Full Text: DOI
Rostami, Minghao W. New algorithms for computing the real structured pseudospectral abscissa and the real stability radius of large and sparse matrices. (English) Zbl 1325.65067 SIAM J. Sci. Comput. 37, No. 5, S447-S471 (2015). MSC: 65F50 65F15 15A18 15A24 PDFBibTeX XMLCite \textit{M. W. Rostami}, SIAM J. Sci. Comput. 37, No. 5, S447--S471 (2015; Zbl 1325.65067) Full Text: DOI Link
Kostić, Vladimir R.; Miȩdlar, Agnieszka; Stolwijk, Jeroen J. On matrix nearness problems: distance to delocalization. (English) Zbl 1328.65090 SIAM J. Matrix Anal. Appl. 36, No. 2, 435-460 (2015). MSC: 65F15 15A18 15A22 PDFBibTeX XMLCite \textit{V. R. Kostić} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 435--460 (2015; Zbl 1328.65090) Full Text: DOI Link
Freitag, Melina A.; Spence, Alastair A new approach for calculating the real stability radius. (English) Zbl 1317.65097 BIT 54, No. 2, 381-400 (2014). Reviewer: Martin Plešinger (Liberec) MSC: 65F15 93B60 37C75 65F20 PDFBibTeX XMLCite \textit{M. A. Freitag} and \textit{A. Spence}, BIT 54, No. 2, 381--400 (2014; Zbl 1317.65097) Full Text: DOI
Benner, Peter; Voigt, Matthias A structured pseudospectral method for \(\mathcal {H}_{\infty}\)-norm computation of large-scale descriptor systems. (English) Zbl 1290.93083 Math. Control Signals Syst. 26, No. 2, 303-338 (2014). MSC: 93B60 93B36 93A15 93C15 93C05 PDFBibTeX XMLCite \textit{P. Benner} and \textit{M. Voigt}, Math. Control Signals Syst. 26, No. 2, 303--338 (2014; Zbl 1290.93083) Full Text: DOI
Vlassis, Nikos; Jungers, Raphaël Polytopic uncertainty for linear systems: new and old complexity results. (English) Zbl 1288.93056 Syst. Control Lett. 67, 9-13 (2014). MSC: 93C41 93C05 93D99 93B40 PDFBibTeX XMLCite \textit{N. Vlassis} and \textit{R. Jungers}, Syst. Control Lett. 67, 9--13 (2014; Zbl 1288.93056) Full Text: DOI arXiv
Du, Nguyen Huu; Linh, Vu Hoang; Mehrmann, Volker Robust stability of differential-algebraic equations. (English) Zbl 1281.34002 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations I. Berlin: Springer (ISBN 978-3-642-34927-0/pbk; 978-3-642-34928-7/ebook). Differential-Algebraic Equations Forum, 63-95 (2013). Reviewer: René Lamour (Berlin) MSC: 34-02 34A09 34D10 93B35 93D09 34D20 34A30 PDFBibTeX XMLCite \textit{N. H. Du} et al., in: Surveys in differential-algebraic equations I. Berlin: Springer. 63--95 (2013; Zbl 1281.34002) Full Text: DOI Link
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