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MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS by Jovana Dzunic, Ljiljana Petkovic, Beny Neta, Miodrag Petkovic

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Chapter 7

Simultaneous methods for polynomial zeros

The problem of finding polynomial zeros,polynomial zeros although one of the oldest problems in mathematics, is still important since it appears in a vast variety of branches of mathematics and technical science, physics, computer science, control theory, signal processing, even in economics and social sciences. More details can be found in McNamee’s book “Numerical Methods for Roots of Polynomials” McNamee, 2007. The bibliography compiled by McNamee contains about 8000 entries. Although any method for finding a single root of an equation can be applied to a polynomial equation as well, the method of deflation is not a good choice when all zeros are required since it produces approximations of ...

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