New Methods For Solving Algebraic Equations
AbstractIteration methods are very useful in solving nonlinear algebraic equations. The most famous such method is Newton’s method deduced by first order Taylor expansion. In 2003, J. H. He gives a new faster convergent method, based on second order Taylor expansion, that gives a quadratic equation for the iterations difference xn+1-xn . However He’s method is not applicable when this equation has complex roots. In 2008, D. Wei, J. Wu and M. Mei eliminated this deficiency, obtaining from third order Taylor expansion a cubic equation, that always has a real root. In this paper, we present the three methods and their applications to some particular equations.
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Bibliographic InfoArticle provided by Romanian-American University in its journal Journal of Information Systems and Operations Management.
Volume (Year): 4 (2010)
Issue (Month): 1 (May)
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