Güttel, Stefan; Tisseur, Françoise The nonlinear eigenvalue problem. (English) Zbl 1377.65061 Acta Numerica 26, 1-94 (2017). MSC: 65H17 65D05 65-02 PDFBibTeX XMLCite \textit{S. Güttel} and \textit{F. Tisseur}, Acta Numerica 26, 1--94 (2017; Zbl 1377.65061) Full Text: DOI
Kobel, Alexander; Rouillier, Fabrice; Sagraloff, Michael Computing real roots of real polynomials …and now for real! (English) Zbl 1365.65142 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 303-310 (2016). MSC: 65H04 65Y20 PDFBibTeX XMLCite \textit{A. Kobel} et al., in: Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20--22, 2016. New York, NY: Association for Computing Machinery (ACM). 303--310 (2016; Zbl 1365.65142) Full Text: DOI arXiv
Coleman, Thomas F.; Xu, Wei Automatic differentiation in MATLAB using ADMAT with applications. (English) Zbl 1364.65056 Software - Environments - Tools 27. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-435-5/pbk; 978-1-61197-436-2/ebook). xii, 105 p. (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65D25 65-01 68W30 91G60 PDFBibTeX XMLCite \textit{T. F. Coleman} and \textit{W. Xu}, Automatic differentiation in MATLAB using ADMAT with applications. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2016; Zbl 1364.65056) Full Text: DOI
Corless, Robert M.; Fillion, Nicolas A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1295.65001 New York, NY: Springer (ISBN 978-1-4614-8452-3/hbk; 978-1-4614-8453-0/ebook). xxxix, 868 p. (2013). Reviewer: Robert Plato (Siegen) MSC: 65-01 65Gxx 00A06 65Dxx 65Fxx 65T50 65Lxx 65M20 65M70 65M06 PDFBibTeX XMLCite \textit{R. M. Corless} and \textit{N. Fillion}, A graduate introduction to numerical methods. From the viewpoint of backward error analysis. New York, NY: Springer (2013; Zbl 1295.65001) Full Text: DOI
Wang, Kuo-Hsiung; Chen, Wei-Lun; Yang, Dong-Yuh Optimal management of the machine repair problem with working vacation: Newton’s method. (English) Zbl 1180.90098 J. Comput. Appl. Math. 233, No. 2, 449-458 (2009). Reviewer: Stefan Jendo (Warszawa) MSC: 90B25 90C53 PDFBibTeX XMLCite \textit{K.-H. Wang} et al., J. Comput. Appl. Math. 233, No. 2, 449--458 (2009; Zbl 1180.90098) Full Text: DOI
Chun, Changbum; Neta, Beny A third-order modification of Newton’s method for multiple roots. (English) Zbl 1162.65342 Appl. Math. Comput. 211, No. 2, 474-479 (2009). MSC: 65H05 PDFBibTeX XMLCite \textit{C. Chun} and \textit{B. Neta}, Appl. Math. Comput. 211, No. 2, 474--479 (2009; Zbl 1162.65342) Full Text: DOI
Chun, Changbum Some fourth-order iterative methods for solving nonlinear equations. (English) Zbl 1173.65031 Appl. Math. Comput. 195, No. 2, 454-459 (2008). Reviewer: René Lamour (Berlin) MSC: 65H05 PDFBibTeX XMLCite \textit{C. Chun}, Appl. Math. Comput. 195, No. 2, 454--459 (2008; Zbl 1173.65031) Full Text: DOI
Jin, Yi; Kalantari, Bahman On general convergence in extracting radicals via a fundamental family of iteration functions. (English) Zbl 1118.65035 J. Comput. Appl. Math. 206, No. 2, 832-842 (2007). MSC: 65H05 68W30 PDFBibTeX XMLCite \textit{Y. Jin} and \textit{B. Kalantari}, J. Comput. Appl. Math. 206, No. 2, 832--842 (2007; Zbl 1118.65035) Full Text: DOI
Chun, Changbum; Ham, YoonMee Newton-like iteration methods for solving non-linear equations. (English) Zbl 1092.65041 Commun. Numer. Methods Eng. 22, No. 5, 475-487 (2006). Reviewer: Jürgen Guddat (Berlin) MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{C. Chun} and \textit{Y. Ham}, Commun. Numer. Methods Eng. 22, No. 5, 475--487 (2006; Zbl 1092.65041) Full Text: DOI
Geum, Young Hee; Kim, Young Ik Accurate computation of component centers in the degree-\(n\) bifurcation set. (English) Zbl 1154.37348 Comput. Math. Appl. 48, No. 1-2, 163-175 (2004). MSC: 37F10 37-04 37F45 65P30 PDFBibTeX XMLCite \textit{Y. H. Geum} and \textit{Y. I. Kim}, Comput. Math. Appl. 48, No. 1--2, 163--175 (2004; Zbl 1154.37348) Full Text: DOI
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg [Bailey, David H.] The SIAM 100-digit challenge. A study in high-accuracy numerical computing. With a foreword by David H. Bailey. (English) Zbl 1060.65002 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-561-X/pbk; 978-0-89871-796-9/ebook). xi, 306 p. (2004). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65Dxx 65Fxx 68W30 65C50 65T40 PDFBibTeX XMLCite \textit{F. Bornemann} et al., The SIAM 100-digit challenge. A study in high-accuracy numerical computing. With a foreword by David H. Bailey. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2004; Zbl 1060.65002) Full Text: DOI
Geum, Young Hee; Kim, Young Ik A study on computation of component centers in the degree-\(n\) bifurcation set. (English) Zbl 1083.65053 Int. J. Comput. Math. 80, No. 2, 223-232 (2003). Reviewer: Otu Vaarmann (Tallinn) MSC: 65H17 68W30 PDFBibTeX XMLCite \textit{Y. H. Geum} and \textit{Y. I. Kim}, Int. J. Comput. Math. 80, No. 2, 223--232 (2003; Zbl 1083.65053) Full Text: DOI
Süli, Endre; Mayers, David F. An introduction to numerical analysis. (English) Zbl 1033.65001 Cambridge: Cambridge University Press (ISBN 0-521-00794-1/pbk). x, 433 p. (2003). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65Fxx 65Dxx 65Hxx 65Lxx PDFBibTeX XMLCite \textit{E. Süli} and \textit{D. F. Mayers}, An introduction to numerical analysis. Cambridge: Cambridge University Press (2003; Zbl 1033.65001) Full Text: DOI
Geum, Young Hee; Kim, Young Ik An improved computation of component centers in the degree-\(n\) bifurcation set. (English) Zbl 1012.65140 J. Appl. Math. Comput. 10, No. 1-2, 63-73 (2002). Reviewer: Fuhua Ling (Milpitas) MSC: 65P30 37M20 37G10 65H05 PDFBibTeX XMLCite \textit{Y. H. Geum} and \textit{Y. I. Kim}, J. Appl. Math. Comput. 10, No. 1--2, 63--73 (2002; Zbl 1012.65140) Full Text: DOI
Richards, Derek Advanced mathematical methods with Maple. (English) Zbl 0987.65002 Cambridge: Cambridge University Press. xv, 862 p. (2002). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65Dxx 65Lxx 68W30 65Txx 65Hxx 65Pxx PDFBibTeX XMLCite \textit{D. Richards}, Advanced mathematical methods with Maple. Cambridge: Cambridge University Press (2002; Zbl 0987.65002)
Benkő, József; Klincsik, Mihály Increase of \(x_{n+1}=x_{n}-\varphi(x_{n})\) iteration’s order. (English) Zbl 0933.65047 Math. Pannonica 10, No. 2, 291-299 (1999). MSC: 65H05 PDFBibTeX XMLCite \textit{J. Benkő} and \textit{M. Klincsik}, Math. Pannonica 10, No. 2, 291--299 (1999; Zbl 0933.65047) Full Text: EuDML
Gander, Walter; Gruntz, Dominik Derivation of numerical methods using computer algebra. (English) Zbl 0981.65003 SIAM Rev. 41, No. 3, 577-593 (1999). MSC: 65-01 68W30 65H05 65D32 65L06 65L60 97D40 PDFBibTeX XMLCite \textit{W. Gander} and \textit{D. Gruntz}, SIAM Rev. 41, No. 3, 577--593 (1999; Zbl 0981.65003) Full Text: DOI