enclosing roots of polynomial equations and their applications to iterative processes

Clicks: 170
ID: 144033
2009
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Ranked #8 of 17 articles by views in journal of oral pathology & medicine : official publication of the international association of oral pathologists and the american academy of oral pathology

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Abstract
We introduce a special class of real recurrentpolynomials fn (n ≥ 1) of degree n,with unique positive roots sn, which are decreasingas n increases. The first root s1, as well asthe last one denoted by s∞ are expressed in closedform, and enclose all sn (n > 1).
This technique is also used to find weaker than before[Kantorovich and Akilov, 1982] sufficient convergence conditions for some popular iterative processes converging to solutions of equations.
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hilout2009surveysenclosing Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Saïd Hilout;Ioannis K. Argyros
Journal journal of oral pathology & medicine : official publication of the international association of oral pathologists and the american academy of oral pathology
Year 2009
DOI
DOI not found
URL
http://www.utgjiu.ro/math/sma/v04/p10.pdf
Keywords
mathematics

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