On the Continuous Dependence of the Roots of a Polynomial on its Coefficients

DOI10.2307/2319971zbMath0434.32003OpenAlexW4230136203MaRDI QIDQ3872739

Ann M. Sergott, D. J. Uherka

Publication date: 1977

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2319971

zbMATH Keywords

roots of polynomials

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05)

Related Items (9)

The MGT-Fourier model in the supercritical case ⋮ Some lower bounds for the spectral radius of matrices using traces ⋮ Limits of Jensen polynomials for partitions and other sequences ⋮ When should a polynomial’s root nearest to a real number be real itself? ⋮ The Gerber-Shiu function and the generalized Cramér-Lundberg model ⋮ Worst-case complexity of cyclic coordinate descent: \(O(n^2)\) gap with randomized version ⋮ Logarithmic norms and regular perturbations of differential equations ⋮ Long-run growth rates of discrete multiplicative processes in Markovian environments ⋮ Some inertia theorems in Euclidean Jordan algebras

This page was built for publication: On the Continuous Dependence of the Roots of a Polynomial on its Coefficients