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World Journal of Engineering
Research and Technology

An International Peer Reviewed Journal for Engineering Research and Technology

ISSN 2454-695X

Impact Factor : 5.218

ICV : 79.45

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Indexing

Abstract

WEAKNESS AND RECOVERY OF GRAEFFE’S ROOT SQUARING METHOD

W. Z. Loskor*

ABSTRACT

Graeffe's method is one of the roots finding method of a polynomial with real co-efficient. All the roots real and complex, repeated and non-repeated of a polynomial simultaneously are determined by Graeffe’s root squaring method. In this study, some weaknesses of the Graeffe’s method clearly and specifically mentioned and their recoveries have been discussed. It is said in[9] that this statement is not universally true. The method is valid if the algebraic equations satisfy the conditions, (i) equations with zero-coefficient must have at least one pair of equidistant non-zero coefficient from the zero-coefficient; (ii) any transformed equation of a given equation with non-zero coefficient may have zero coefficients but these new coefficients must satisfy (i); and (iii) all the coefficients of nonlinear algebraic equation must not be unity.

[Full Text Article]