Estimating roots of polynomials using perturbation theory

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dc.contributor.authorPakdemirli M.
dc.contributor.authorYurtsever H.A.
dc.date.accessioned2024-07-22T08:23:01Z
dc.date.available2024-07-22T08:23:01Z
dc.date.issued2007
dc.description.abstractPerturbation theory and the order of magnitude of terms are employed to develop two theorems. The theorems may be useful to estimate the order of magnitude of the roots of a polynomial a priori before solving the equation. The theorems are developed for two special types of polynomials of arbitrary order with their coefficients satisfying certain conditions. Numerical applications of the theorems are presented as examples. © 2006 Elsevier Inc. All rights reserved.
dc.identifier.DOI-ID10.1016/j.amc.2006.11.071
dc.identifier.issn00963003
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19344
dc.language.isoEnglish
dc.subjectLinear equations
dc.subjectNumerical methods
dc.subjectPerturbation techniques
dc.subjectProblem solving
dc.subjectTheorem proving
dc.subjectEquation solving
dc.subjectPolynomial roots
dc.subjectPolynomial approximation
dc.titleEstimating roots of polynomials using perturbation theory
dc.typeArticle

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