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On Newton-Raphson Method

Author

Listed:
  • Mircea Cirnu

    (University “Politehnica” Of Bucharest)

  • Irina Badralexi

    (University “Politehnica” Of Bucharest)

Abstract

Recent versions of the well-known Newton-Raphson method for solving algebraic equations are presented. First of these is the method given by J. H. He in 2003. He reduces the problem to solving a second degree polynomial equation. 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 a third order polynomial equation, which has always a real root. First of the authors of present paper obtained higher order polynomial equations, which for orders 2 and 3 are reduced to equations given by He and respectively by Wei-Wu-Mei, with much improved form. In this paper, we present these methods. An example is given.

Suggested Citation

  • Mircea Cirnu & Irina Badralexi, 2011. "On Newton-Raphson Method," Romanian Economic Business Review, Romanian-American University, vol. 5(1), pages 91-94, May.
  • Handle: RePEc:rau:journl:v:5:y:2011:i:1:p:91-94
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    Keywords

    newton-raphson;

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