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Some Generalizations of the Chebyshev Method for Simultaneous Determination of All Roots of Polynomial Equations

A. I. Iliev, Kh. I. Semerdzhiev

math.NAarXiv:math/0104280

Abstract

Iterative methods for the simultaneous determination of all roots of an equation are dis-cussed. The multiplicities of the roots are assumed to be known in advance. The methods are proved to have a cubical rate of convergence. Numerical examples are given.

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