NEW METHODS FOR SOLVING ALGEBRAIC EQUATIONS

Mircea Cirnu and Irina Badralexi
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Mircea Cirnu: University “Politehnica” of Bucharest
Irina Badralexi: University “Politehnica” of Bucharest

Journal of Information Systems & Operations Management, 2010, vol. 4, issue 1, 137-140

Abstract: Iteration 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.

Keywords: equations (search for similar items in EconPapers)
Date: 2010
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