The resolution of close minima (Q1802496)

Given a real function \(f\) on a real compact interval \([a]\), the paper deals with the question how to find the minimizers \(x^*\in [a]\) such that \(| f(x^*)|=\min\{| f(x)|: x\in [a]\}\) holds. The author addresses to the particular case \(| f(x^*)|=0\), for which he roughly outlines the ideas of an algorithm using the interval Newton method, and a stack if necessary. An example illustrates the efficiency of the algorithm.