Akritas, A.G., Strzebonski, A.W. and Vigklas, P.S. (2008) Improving the Performance of the Continued Fractions Method Using New Bounds of Positive Roots. Nonlinear Analysis: Modelling and Control, 13, 265-279.
https://doi.org/10.15388/NA.2008.13.3.14557

has been cited by the following article:

• TITLE: Solution to Polynomial Equations, a New Approach

  AUTHORS: Fleur T. Tehrani

  KEYWORDS: Polynomial Solutions, Quartic Equations, Computer Algorithms

  JOURNAL NAME: Applied Mathematics, Vol.11 No.2, January 21, 2020

  ABSTRACT: A new approach for solving polynomial equations is presented in this study. Two techniques for solving quartic equations are described that are based on a new method which was recently developed for solving cubic equations. Higher order polynomial equations are solved by using a new and efficient algorithmic technique. The proposed methods rely on initially identifying the vicinities of the roots and do not require the use of complicated formulas, roots of complex numbers, or application of graphs. It is proposed that under the stated conditions, the methods presented provide efficient techniques to find the roots of polynomial equations.