Guglielmi, Nicola; Protasov, Vladimir Yu. Computing the spectral gap of a family of matrices. (English) Zbl 1525.65029 Math. Comput. 93, No. 345, 259-291 (2024). MSC: 65F15 15A18 15A60 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{V. Yu. Protasov}, Math. Comput. 93, No. 345, 259--291 (2024; Zbl 1525.65029) Full Text: DOI
Chitour, Yacine; Guglielmi, Nicola; Protasov, Vladimir Yu.; Sigalotti, Mario Switching systems with dwell time: computing the maximal Lyapunov exponent. (English) Zbl 1485.92078 Nonlinear Anal., Hybrid Syst. 40, Article ID 101021, 22 p. (2021). MSC: 92D20 93C30 93C05 PDFBibTeX XMLCite \textit{Y. Chitour} et al., Nonlinear Anal., Hybrid Syst. 40, Article ID 101021, 22 p. (2021; Zbl 1485.92078) Full Text: DOI arXiv HAL
Cicone, Antonio; Guglielmi, Nicola; Protasov, Vladimir Yu. Linear switched dynamical systems on graphs. (English) Zbl 1391.37035 Nonlinear Anal., Hybrid Syst. 29, 165-186 (2018). MSC: 37E25 93C55 37N35 PDFBibTeX XMLCite \textit{A. Cicone} et al., Nonlinear Anal., Hybrid Syst. 29, 165--186 (2018; Zbl 1391.37035) Full Text: DOI arXiv
Guglielmi, Nicola; Laglia, Linda; Protasov, Vladimir Polytope Lyapunov functions for stable and for stabilizable LSS. (English) Zbl 1361.93050 Found. Comput. Math. 17, No. 2, 567-623 (2017). MSC: 93D05 93C30 93C05 93B60 15A60 15-04 15A18 90C90 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., Found. Comput. Math. 17, No. 2, 567--623 (2017; Zbl 1361.93050) Full Text: DOI arXiv
Charina, M.; Conti, C.; Guglielmi, N.; Protasov, V. Regularity of non-stationary subdivision: a matrix approach. (English) Zbl 06695813 Numer. Math. 135, No. 3, 639-678 (2017). MSC: 65D17 15A60 39A99 PDFBibTeX XMLCite \textit{M. Charina} et al., Numer. Math. 135, No. 3, 639--678 (2017; Zbl 06695813) Full Text: DOI arXiv
Charina, Maria; Conti, Costanza; Guglielmi, Nicola; Protasov, Vladimir Limits of level and parameter dependent subdivision schemes: a matrix approach. (English) Zbl 1410.65045 Appl. Math. Comput. 272, Part 1, 20-27 (2016). MSC: 65D17 PDFBibTeX XMLCite \textit{M. Charina} et al., Appl. Math. Comput. 272, Part 1, 20--27 (2016; Zbl 1410.65045) Full Text: DOI arXiv Link
Guglielmi, Nicola; Protasov, Vladimir Yu. Invariant polytopes of sets of matrices with application to regularity of wavelets and subdivisions. (English) Zbl 1382.15033 SIAM J. Matrix Anal. Appl. 37, No. 1, 18-52 (2016). MSC: 15A60 15A18 42C40 90C90 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{V. Yu. Protasov}, SIAM J. Matrix Anal. Appl. 37, No. 1, 18--52 (2016; Zbl 1382.15033) Full Text: DOI arXiv
Guglielmi, N.; Zennaro, M. Canonical construction of polytope Barabanov norms and antinorms for sets of matrices. (English) Zbl 1320.15017 SIAM J. Matrix Anal. Appl. 36, No. 2, 634-655 (2015). MSC: 15A60 15-04 15A18 90C90 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Zennaro}, SIAM J. Matrix Anal. Appl. 36, No. 2, 634--655 (2015; Zbl 1320.15017) Full Text: DOI Link
Guglielmi, Nicola; Zennaro, Marino Stability of linear problems: Joint spectral radius of sets of matrices. (English) Zbl 1318.65081 Dieci, Luca (ed.) et al., Current challenges in stability issues for numerical differential equations. Lectures of the CIME-EMS summer school, Cetraro, Italy, June 2011. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-01299-5/pbk; 978-3-319-01300-8/ebook). Lecture Notes in Mathematics 2082. CIME Foundation Subseries, 265-313 (2014). MSC: 65Q10 39A06 39A30 65F15 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Zennaro}, Lect. Notes Math. 2082, 265--313 (2014; Zbl 1318.65081) Full Text: DOI
Guglielmi, Nicola; Protasov, Vladimir Exact computation of joint spectral characteristics of linear operators. (English) Zbl 1273.65054 Found. Comput. Math. 13, No. 1, 37-97 (2013). MSC: 65F15 15A60 15-04 15A18 90C90 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{V. Protasov}, Found. Comput. Math. 13, No. 1, 37--97 (2013; Zbl 1273.65054) Full Text: DOI arXiv
Guglielmi, N.; Zennaro, M. On the asymptotic regularity of a family of matrices. (English) Zbl 1247.15006 Linear Algebra Appl. 436, No. 7, 2093-2104 (2012). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15A18 15A60 15B48 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Zennaro}, Linear Algebra Appl. 436, No. 7, 2093--2104 (2012; Zbl 1247.15006) Full Text: DOI Link
Guglielmi, Nicola; Manni, Carla; Vitale, Davide Convergence analysis of \(C^{2}\) Hermite interpolatory subdivision schemes by explicit joint spectral radius formulas. (English) Zbl 1210.65058 Linear Algebra Appl. 434, No. 4, 884-902 (2011). Reviewer: Gabriela Cristescu (Arad) MSC: 65D18 15A60 65D05 65D15 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., Linear Algebra Appl. 434, No. 4, 884--902 (2011; Zbl 1210.65058) Full Text: DOI
Cicone, Antonio; Guglielmi, Nicola; Serra-Capizzano, Stefano; Zennaro, Marino Finiteness property of pairs of \(2\times 2\) sign-matrices via real extremal polytope norms. (English) Zbl 1186.15006 Linear Algebra Appl. 432, No. 2-3, 796-816 (2010). Reviewer: Petko Hr. Petkov (Sofia) MSC: 15A18 65F15 15B35 15A60 PDFBibTeX XMLCite \textit{A. Cicone} et al., Linear Algebra Appl. 432, No. 2--3, 796--816 (2010; Zbl 1186.15006) Full Text: DOI
Guglielmi, Nicola; Zennaro, Marino An algorithm for finding extremal polytope norms of matrix families. (English) Zbl 1139.65027 Linear Algebra Appl. 428, No. 10, 2265-2282 (2008). MSC: 65F15 65L20 34B05 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Zennaro}, Linear Algebra Appl. 428, No. 10, 2265--2282 (2008; Zbl 1139.65027) Full Text: DOI
Guglielmi, N.; Zennaro, M. On the limit products of a family of matrices. (English) Zbl 1025.15040 Linear Algebra Appl. 362, 11-27 (2003). Reviewer: Alexey Alimov (Moskau) MSC: 15A60 15A18 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Zennaro}, Linear Algebra Appl. 362, 11--27 (2003; Zbl 1025.15040) Full Text: DOI
Guglielmi, N.; Zennaro, M. On the asymptotic properties of a family of matrices. (English) Zbl 0971.15016 Linear Algebra Appl. 322, No. 1-3, 169-192 (2001). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A60 15A18 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Zennaro}, Linear Algebra Appl. 322, No. 1--3, 169--192 (2001; Zbl 0971.15016) Full Text: DOI