On the perturbation of the zeros of complex polynomials
Copyright policy )On the perturbation of the zeros of complex polynomials
The author investigates the deviation of the zeros of a polynomial and improves earlier results by \textit{A. Ostrowski} [Solution of equations and systems of equations. (1960; Zbl 0115.11201), Appendix A] and \textit{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.
- University of Freiburg Germany
complex polynomials, General theory of numerical methods in complex analysis (potential theory, etc.), perturbation of coefficients, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Computational aspects of field theory and polynomials, Numerical computation of solutions to single equations, polynomial zeros
complex polynomials, General theory of numerical methods in complex analysis (potential theory, etc.), perturbation of coefficients, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Computational aspects of field theory and polynomials, Numerical computation of solutions to single equations, polynomial zeros
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