Perturbation theorems for estimating magnitudes of roots of polynomials

DOI10.1016/j.amc.2010.03.020zbMath1190.65076OpenAlexW2010003104WikidataQ58206667 ScholiaQ58206667MaRDI QIDQ972942

N. Elmas, Mehmet Pakdemirli

Publication date: 21 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.020

zbMATH Keywords

estimationperturbation theoryroots of polynomialsmagnitudes of roots

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Numerical computation of solutions to single equations (65H05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10) Numerical computation of roots of polynomial equations (65H04)

Related Items (2)

A new perturbation technique in solution of nonlinear differential equations by using variable transformation ⋮ A comprehensive perturbation theorem for estimating magnitudes of roots of polynomials

Cites Work

• Generation of root finding algorithms via perturbation theory and some formulas
• A root-finding algorithm with fifth order derivatives
• Perturbative derivation and comparisons of root-finding algorithms with fourth order derivatives
• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• Estimating roots of polynomials using perturbation theory
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