Equation Solving by Iterative Methods

Jean-Pierre Corriou
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Jean-Pierre Corriou: University of Lorraine

Chapter Chapter 3 in Numerical Methods and Optimization, 2021, pp 69-106 from Springer

Abstract: Abstract The purpose is solving a single equation. After the explanation of Graeffe’s, Bernoulli’s, and Bairstow’s methods designed for polynomials, a large range of iterative methods for any function are exposed, bisection, regula falsi, successive substitutions, Newton’s method, and derived methods such as secant, Wegstein’s, and Aitken’s methods. The homotopy method concludes this chapter. All the described methods are illustrated by a significant numerical example.

Date: 2021
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DOI: 10.1007/978-3-030-89366-8_3

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