Akian, Marianne; Gaubert, Stéphane; Sharify, Meisam Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots. (English) Zbl 1428.15009 Linear Algebra Appl. 528, 394-435 (2017). Reviewer: Iveta Hnetynkova (Praha) MSC: 15A18 15A22 15A80 47J10 PDFBibTeX XMLCite \textit{M. Akian} et al., Linear Algebra Appl. 528, 394--435 (2017; Zbl 1428.15009) Full Text: DOI arXiv
De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier Eigenvalue condition numbers and pseudospectra of Fiedler matrices. (English) Zbl 1372.65141 Calcolo 54, No. 1, 319-365 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65H04 65F15 65F35 15A12 PDFBibTeX XMLCite \textit{F. De Terán} et al., Calcolo 54, No. 1, 319--365 (2017; Zbl 1372.65141) Full Text: DOI Link
Nakatsukasa, Yuji; Noferini, Vanni On the stability of computing polynomial roots via confederate linearizations. (English) Zbl 1347.65096 Math. Comput. 85, No. 301, 2391-2425 (2016). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65H04 65F15 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} and \textit{V. Noferini}, Math. Comput. 85, No. 301, 2391--2425 (2016; Zbl 1347.65096) Full Text: DOI Link
De Terán, Fernando; Dopico, Froilán M.; Pérez, Javier New bounds for roots of polynomials based on Fiedler companion matrices. (English) Zbl 1288.15010 Linear Algebra Appl. 451, 197-230 (2014). MSC: 15A18 15A60 15B99 65F15 65F35 65H04 PDFBibTeX XMLCite \textit{F. De Terán} et al., Linear Algebra Appl. 451, 197--230 (2014; Zbl 1288.15010) Full Text: DOI
Bini, Dario A.; Noferini, Vanni; Sharify, Meisam Locating the eigenvalues of matrix polynomials. (English) Zbl 1291.15048 SIAM J. Matrix Anal. Appl. 34, No. 4, 1708-1727 (2013). Reviewer: Tin Yau Tam (Auburn) MSC: 15A42 15A22 15A80 15A18 15A54 PDFBibTeX XMLCite \textit{D. A. Bini} et al., SIAM J. Matrix Anal. Appl. 34, No. 4, 1708--1727 (2013; Zbl 1291.15048) Full Text: DOI arXiv Link
Melman, A. Generalization and variations of Pellet’s theorem for matrix polynomials. (English) Zbl 1305.15029 Linear Algebra Appl. 439, No. 5, 1550-1567 (2013). MSC: 15A18 12D10 30C15 PDFBibTeX XMLCite \textit{A. Melman}, Linear Algebra Appl. 439, No. 5, 1550--1567 (2013; Zbl 1305.15029) Full Text: DOI arXiv
Bini, Dario A.; Noferini, Vanni Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method. (English) Zbl 1281.65061 Linear Algebra Appl. 439, No. 4, 1130-1149 (2013). MSC: 65F15 15A16 15A54 PDFBibTeX XMLCite \textit{D. A. Bini} and \textit{V. Noferini}, Linear Algebra Appl. 439, No. 4, 1130--1149 (2013; Zbl 1281.65061) Full Text: DOI arXiv
Strobach, Peter A fitting algorithm for real coefficient polynomial rooting. (English) Zbl 1242.65096 J. Comput. Appl. Math. 236, No. 13, 3238-3255 (2012). MSC: 65H04 26C10 65F15 PDFBibTeX XMLCite \textit{P. Strobach}, J. Comput. Appl. Math. 236, No. 13, 3238--3255 (2012; Zbl 1242.65096) Full Text: DOI
Pan, Victor Y.; Zheng, Ai-Long New progress in real and complex polynomial root-finding. (English) Zbl 1217.65087 Comput. Math. Appl. 61, No. 5, 1305-1334 (2011). MSC: 65H04 PDFBibTeX XMLCite \textit{V. Y. Pan} and \textit{A.-L. Zheng}, Comput. Math. Appl. 61, No. 5, 1305--1334 (2011; Zbl 1217.65087) Full Text: DOI
Plestenjak, Bor Numerical methods for the tridiagonal hyperbolic quadratic eigenvalue problem. (English) Zbl 1130.65055 SIAM J. Matrix Anal. Appl. 28, No. 4, 1157-1172 (2006). Reviewer: Vasilis Dimitriou (Chania) MSC: 65F15 15A69 65F50 PDFBibTeX XMLCite \textit{B. Plestenjak}, SIAM J. Matrix Anal. Appl. 28, No. 4, 1157--1172 (2006; Zbl 1130.65055) Full Text: DOI Link
Gemignani, Luca Computing a factor of a polynomial by means of multishift LR algorithms. (English) Zbl 0915.65037 SIAM J. Matrix Anal. Appl. 19, No. 1, 161-181 (1998). Reviewer: Costică Moroşanu (Iaşi) MSC: 65H05 12Y05 26C10 65F15 PDFBibTeX XMLCite \textit{L. Gemignani}, SIAM J. Matrix Anal. Appl. 19, No. 1, 161--181 (1998; Zbl 0915.65037) Full Text: DOI