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https://doi.org/10.1515/9780691235394

has been cited by the following article:

• TITLE: Novel Method to Deal with Interval Quadratic Equations via Sign-Variation Analysis

  AUTHORS: Nicolas Yvain, Isaac Elishakoff

  KEYWORDS: Analytical Results, Quadratic Equations, Bounds, Sign-Variation Analysis, Interval Word Problems

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.10, October 31, 2023

  ABSTRACT: In this article, analytical results are obtained apparently for the first time in the literature, for the lower and upper bounds of the roots of quadratic equations when two or all three coefficients a, b, c constitute an interval, with a method called the sign-variation analysis. The results are compared with the parametrization technique offered by Elishakoff and Miglis, and with the solution yielded by minimization and maximization commands of the Maple software. Solutions for some interval word problems are also provided to edulcorate the methodology. This article only focuses on the real roots of those quadratic equations, complex solutions being beyond this investigation.