Estimating roots of polynomials using perturbation theory

Perturbation 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...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 188; no. 2; pp. 2025 - 2028
Main Authors Pakdemirli, M., Yurtsever, H.A.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 15.05.2007
Elsevier
Subjects
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Perturbation theory
Roots of polynomials
Sciences and techniques of general use
Perturbation theory
Roots of polynomials
Polynomial
Numerical analysis
Applied mathematics
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Summary:Perturbation 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.11.071