Abstract
The aim of this article is to present a brief review and a numerical comparison of iterative methods applied to solve the polynomial equations with real coefficients. In this paper, four numerical methods are compared, namely: Horner’s method, Synthetic division with Chebyshev method (Proposed Method), Synthetic division with Modified Newton Raphson method and Birge-Vieta method which will helpful to the readers to understand the importance and usefulness of these methods.
Highlights
Numerical techniques are very important in the applications of Scientific and Engineering fields
This article provides a brief on the comparative study of different methods for Numerical method to find the positive and negative roots of the polynomial equations by using various iterative techniques such as Horner’s method, Synthetic division, Chebyshev method, Modified Newton-Raphson method and Birge-Vieta method
Compared to the method of long division of polynomials, synthetic division requires less writing and fewer calculations. This means that the synthetic division is the shortest method compared to the traditional long division of a polynomial for the special cases were the division by a linear factor
Summary
Numerical techniques are very important in the applications of Scientific and Engineering fields. It is broadly used in all the major scientific disciplines. This article provides a brief on the comparative study of different methods for Numerical method to find the positive and negative roots of the polynomial equations by using various iterative techniques such as Horner’s method, Synthetic division, Chebyshev method, Modified Newton-Raphson method and Birge-Vieta method
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