Perturbation theorems for estimating magnitudes of roots of polynomials

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dc.contributor.authorPakdemirli M.
dc.contributor.authorElmas N.
dc.date.accessioned2024-07-22T08:21:01Z
dc.date.available2024-07-22T08:21:01Z
dc.date.issued2010
dc.description.abstractTwo additional new theorems are posed and proven to estimate the magnitudes of roots of polynomials. Perturbation theory and the order of magnitude of terms are employed to develop the theorems. The theorems may be useful to estimate the order of magnitudes of the roots of a polynomial a priori before solving the equation. The theorems are developed for two special classes of polynomials of arbitrary order with their coefficients satisfying certain conditions. Numerical applications of the theorems are presented as examples. It is shown that the theorems produce good estimates for the magnitudes of roots. © 2010 Elsevier Inc. All rights reserved.
dc.identifier.DOI-ID10.1016/j.amc.2010.03.020
dc.identifier.issn00963003
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18422
dc.language.isoEnglish
dc.subjectPolynomials
dc.subject12D10
dc.subjectApriori
dc.subjectArbitrary order
dc.subjectNumerical applications
dc.subjectOrder of magnitude
dc.subjectPerturbation theory
dc.subjectSpecial class
dc.subjectPerturbation techniques
dc.titlePerturbation theorems for estimating magnitudes of roots of polynomials
dc.typeArticle

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