A Generalization of Obreshkoff-Ehrlich Method for Multiple Roots of Algebraic, Trigonometric and Exponential Equations

Details A Generalization of Obreshkoff-Ehrlich Method for Multiple Roots of Algebraic, Trigonometric and Exponential Equations A Generalization of Obreshkoff-Ehrlich Method for Multiple Roots of Algebraic, Trigonometric and Exponential Equations

2001-04-25

arxiv.org/abs/math/0104236v1

Math. Balk., New Ser., 14, No 1-2, 2000, 17-28

Mathematics

Numerical Analysis

12 pages

Scientific paper

In this paper methods for simultaneous finding all roots of generalized
polynomials are developed. These methods are related to the case when the roots
are multiple. They possess cubic rate of convergence and they are as
labour-consuming as the known methods related to the case of polynomials with
simple roots only.

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