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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2010 Volume 22, Number 7, Pages 33–52 (Mi mm2995)

This article is cited in 3 papers

Calculation of roots and there multiplicity for nonlinear equation

N. N. Kalitkin, L. V. Kuzmina

Institute for Mathematical Modelling of Rus. Acad. Sci., Moscow

Abstract: Different methods for calculation of nonlinear equation roots were compared. There of seconds method occuerd the most effective for simple roots. The methods of bisections and golden section were effective for multiple roots, but the last iterations should be performed by the method of seconds with the Aitken extrapolation for accuracy improving. All this methods termit to establish a root multiplicity.

UDC: 519.615.5

Received: 21.09.2009


 English version:
Mathematical Models and Computer Simulations, 2011, 3:1, 65–80

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© Steklov Math. Inst. of RAS, 2026