Perturbation results on the zero-locus of a polynomial

DOI10.1016/j.jsc.2016.04.001zbMath1354.65093OpenAlexW2333676831MaRDI QIDQ346546

Maria-Laura Torrente, Mauro C. Beltrametti, Andrew John Sommese

Publication date: 29 November 2016

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11567/862520

zbMATH Keywords

Bombieri's normlocation of zeros of multivariate polynomialsperturbations of real polynomialsWalsh's contraction principle

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) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of roots of polynomial equations (65H04)

Related Items (2)

Perturbation of polynomials and applications to the Hough transform ⋮ Nonnegative forms with sublevel sets of minimal volume

Uses Software

• CoCoA

Cites Work

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• Products of polynomials in many variables
• On the numerical condition of algebraic curves and surfaces. I: Implicit equations
• Products of polynomials and a priori estimates for coefficients in polynomial decompositions: A sharp result
• Perturbation bounds for polynomials
• A converse to the Grace–Walsh–Szegő theorem
• Complexity of Bezout's Theorem I: Geometric Aspects
• How the Roots of a Polynomial Vary with its Coefficients: A Local Quantitative Result
• A condition number theorem for underdetermined polynomial systems
• Differential Identities
• A Theorem of Grace on the Zeros of Polynomials, Revisited
• Complex analysis. Transl. from the German by Dan Fulea
• Finding the roots of polynomial equations: An algorithm with linear command

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