Dubickas, Artūras Root separation for polynomials with reducible derivative. (English) Zbl 1489.11048 Math. Slovaca 70, No. 5, 1079-1086 (2020). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 11C08 12D10 PDF BibTeX XML Cite \textit{A. Dubickas}, Math. Slovaca 70, No. 5, 1079--1086 (2020; Zbl 1489.11048) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Akian} et al., Linear Algebra Appl. 528, 394--435 (2017; Zbl 1428.15009) Full Text: DOI arXiv
Batra, Prashant Newton’s method and the computational complexity of the fundamental theorem of algebra. (English) Zbl 1262.03129 Dilhage, R. (ed.) et al., Proceedings of the fourth international conference on computability and complexity in analysis (CCA 2007), Siena, Italy, June 16–18, 2007. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 202, 201-218 (2008). MSC: 03F60 03D15 PDF BibTeX XML Cite \textit{P. Batra}, Electron. Notes Theor. Comput. Sci. 202, 201--218 (2008; Zbl 1262.03129) Full Text: DOI
Masser, David; Vaaler, Jeffrey D. Counting algebraic numbers with large height. I. (English) Zbl 1211.11115 Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 237-243 (2008). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11G50 PDF BibTeX XML Cite \textit{D. Masser} and \textit{J. D. Vaaler}, Dev. Math. 16, 237--243 (2008; Zbl 1211.11115) Full Text: DOI
Dubickas, A. Polynomials with a root close to an integer. (English) Zbl 0972.11013 Lith. Math. J. 39, No. 3, 245-250 (1999); and Liet. Mat. Rink. 39, No. 3, 310-316 (1999). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11C08 11R09 PDF BibTeX XML Cite \textit{A. Dubickas}, Lith. Math. J. 39, No. 3, 245--250 (1999); and Liet. Mat. Rink. 39, No. 3, 310--316 (1999; Zbl 0972.11013) Full Text: DOI
Mignotte, Maurice On the distance between the roots of a polynomial. (English) Zbl 0835.12002 Appl. Algebra Eng. Commun. Comput. 6, No. 6, 327-332 (1995). Reviewer: E.J.Barbeau (Toronto) MSC: 12D10 30C15 PDF BibTeX XML Cite \textit{M. Mignotte}, Appl. Algebra Eng. Commun. Comput. 6, No. 6, 327--332 (1995; Zbl 0835.12002) Full Text: DOI
Glesser, P. Upper bound for the norm of the factors of a polynomial: case where all the roots of the polynomial are real. (Majoration de la norme des facteurs d’un polynôme: Cas où toutes les racines du polynôme sont réelles.) (French) Zbl 0778.12001 RAIRO, Inform. Théor. Appl. 27, No. 2, 121-134 (1993). Reviewer: E.J.Barbeau (Toronto) MSC: 12D10 12D05 26C10 30C15 PDF BibTeX XML Cite \textit{P. Glesser}, RAIRO, Inform. Théor. Appl. 27, No. 2, 121--134 (1993; Zbl 0778.12001) Full Text: DOI EuDML
Mignotte, Maurice On the product of the largest roots of a polynomial. (English) Zbl 0756.65074 J. Symb. Comput. 13, No. 6, 605-611 (1992). Reviewer: S.Filippi (Gießen) MSC: 65H05 65E05 30C15 12Y05 PDF BibTeX XML Cite \textit{M. Mignotte}, J. Symb. Comput. 13, No. 6, 605--611 (1992; Zbl 0756.65074) Full Text: DOI
Kaltofen, Erich Computing the irreducible real factors and components of an algebraic curve. (English) Zbl 0737.14018 Appl. Algebra Eng. Commun. Comput. 1, No. 2, 135-148 (1990). Reviewer: E.Ederle (München) MSC: 14Q05 68W30 PDF BibTeX XML Cite \textit{E. Kaltofen}, Appl. Algebra Eng. Commun. Comput. 1, No. 2, 135--148 (1990; Zbl 0737.14018) Full Text: DOI
Mignotte, Maurice An inequality about irreducible factors of integer polynomials. (English) Zbl 0648.12002 J. Number Theory 30, No. 2, 156-166 (1988). Reviewer: Kenneth S. Williams (Ottawa) MSC: 11R09 11C08 PDF BibTeX XML Cite \textit{M. Mignotte}, J. Number Theory 30, No. 2, 156--166 (1988; Zbl 0648.12002) Full Text: DOI
Cerlienco, L.; Mignotte, M.; Piras, F. Computing the measure of a polynomial. (English) Zbl 0629.12002 J. Symb. Comput. 4, 21-33 (1987). Reviewer: David W. Boyd (Vancouver) MSC: 11R09 11Y40 PDF BibTeX XML Cite \textit{L. Cerlienco} et al., J. Symb. Comput. 4, 21--33 (1987; Zbl 0629.12002) Full Text: DOI
Rump, Siegfried M. Polynomial minimum root separation. (English) Zbl 0405.12018 Math. Comput. 33, 327-336 (1979). MSC: 12D10 65H05 PDF BibTeX XML Cite \textit{S. M. Rump}, Math. Comput. 33, 327--336 (1979; Zbl 0405.12018) Full Text: DOI