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

5 citations · 12 across the 5 of their papers we have counts for

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5 papers

math.NA2001★ 5 cited

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

A. I. Iliev, Kh. I. Semerdzhiev

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…

math.NA2001★ 2 cited

A Generalization of Obreshkoff-Ehrlich Method for Multiple Roots of Polynomial Equations

A. I. Iliev

In this paper we develop a new method which is a generalization of the Obreshkoff -Ehrlich method for the cases of algebraic, trigonometric and exponential polynomials. This method…

math.NA2001

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

A. Iliev, Khr. Semerdzhiev

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 pro…

math.NA2001★ 2 cited

Generalization of Ehrlich-Kjurkchiev method for multiple roots of algebraic equations

Anton I. Iliev

In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in…

math.NA2001★ 3 cited

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

A. I. Iliev

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 c…