Schätzle, Reiner On the perturbation of the zeros of complex polynomials. (English) Zbl 0954.65037 IMA J. Numer. Anal. 20, No. 2, 185-202 (2000). The author investigates the deviation of the zeros of a polynomial and improves earlier results by A. Ostrowski [Solution of equations and systems of equations. (1960; Zbl 0115.11201), Appendix A] and A. Schönhage [The fundamental theorem of algebra in terms of computational complexity. Univ. Tübingen, preliminary report (1982)] by providing sharp estimate.The applications are given in estimating the differences of root-radii. Reviewer: Matthew He (Ft.Lauderdale) Cited in 2 Documents MSC: 65H05 Numerical computation of solutions to single equations 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) 65E05 General theory of numerical methods in complex analysis (potential theory, etc.) 12Y05 Computational aspects of field theory and polynomials (MSC2010) Keywords:polynomial zeros; perturbation of coefficients; complex polynomials Citations:Zbl 0115.11201 PDFBibTeX XMLCite \textit{R. Schätzle}, IMA J. Numer. Anal. 20, No. 2, 185--202 (2000; Zbl 0954.65037) Full Text: DOI