Stability of roots of polynomials under linear combinations of derivatives

DOI10.1007/s00365-009-9061-3zbMath1202.30008arXiv0808.3972OpenAlexW2085885532MaRDI QIDQ607485

Vania Mascioni, Branko Ćurgus

Publication date: 22 November 2010

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3972

zbMATH Keywords

roots of polynomialslinear operatorsminimum root separation

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Cites Work

• Unnamed Item
• Roots and polynomials as homeomorphic spaces
• Perturbations of roots under linear transformations of polynomials
• On the location of critical points of polynomials
• The Minimum Root Separation of a Polynomial
• Inverse spectral problem for normal matrices and the Gauss-Lucas theorem
• Polynomial minimum root separation

This page was built for publication: Stability of roots of polynomials under linear combinations of derivatives