Condition numbers of a nearly singular simple root of a polynomial

DOI10.1016/S0168-9274(01)00029-0zbMath0985.65046MaRDI QIDQ5944560

Winkler, Joab R.

Publication date: 27 May 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

polynomialcondition numberscomplex rootcondition estimationdouble root

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) Numerical computation of solutions to single equations (65H05)

Related Items (5)

A statistical analysis of the numerical condition of multiple roots of polynomials. ⋮ A comparison of the average case numerical condition of the power and bernstein polynomial bases ⋮ Computing multiple roots of inexact polynomials ⋮ The numerical condition of univariate and bivariate degree elevated Bernstein polynomials ⋮ Distance bounds of \(\varepsilon\)-points on hypersurfaces

Cites Work

• On condition numbers and the distance to the nearest ill-posed problem
• On the condition of algebraic equations
• Lectures on Finite Precision Computations
• Unnamed Item

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