Interval Method of Bisection for a Metrologically Based Search for the Roots of Equations with Inaccurately Specified Initial Data

Abstract

A modification of the method of bisection for the purpose of searching for the root of a nonlinear equation is presented. Through the use of the modification, it becomes possible to use the method of bisection to solve equations of indirect measurements in full agreement with the metrological requirements imposed on the results of indirect measurements. It is shown that through the use of data on inaccuracies in the coefficients of equations that are the results of direct measurements it becomes possible to speed up the search for the root as well as achieving a reliable estimate of the characteristics of the error.