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

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

2001-04-29

arxiv.org/abs/math/0104280v1

Comput. Math. Math. Phys., 1999, 39, No 9, 1384-1391

Mathematics

Numerical Analysis

8 pages

Scientific paper

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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