On a Generalisation of Obreshkoff-Ehrlich Method for Simultaneous Extraction of All Roots of Polynomials Over an Arbitrary Chebyshev System

Details On a Generalisation of Obreshkoff-Ehrlich Method for Simultaneous Extraction of All Roots of Polynomials Over an Arbitrary Chebyshev System On a Generalisation of Obreshkoff-Ehrlich Method for Simultaneous Extraction of All Roots of Polynomials Over an Arbitrary Chebyshev System

2001-04-25

arxiv.org/abs/math/0104235v2

C. R. Acad. Bulg. Sci., 53, No 7, 2000, 39-42

Mathematics

Numerical Analysis

4 pages

Scientific paper

New modifications of the methods for simultaneous extraction of all roots of
polynomials over an arbitrary Chebyshev system are elaborated. A cubic
convergence of iterations is proved. The method presented is a generalisation
of the classical methods of Obreshkoff and Ehrlich for simultaneous seeking of
all roots of algebraic equations. Numerical examples are provided.

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