Algorithms for projecting a point onto a level surface of a continuous function on a compact set
N. K. Arutyunova, Aidar Mansurovich Dulliev, В. И. Заботин · Computational Mathematics and Mathematical Physics · 2014
Given an equation f ( x ) = 0, the problem of finding its solution nearest to a given point is considered. In contrast to the authors’ previous works dealing with this problem, exact algorithms are proposed assuming that the function f is continuous on a compact set. The convergence of the algorithms is proved, and their performance is illustrated with test examples.