Study of the convergence of computer calculations (on the example of the Mueller sequence)

Abstract

In the qualification (bachelor's) work, the sequence of Mueller and the convergence of computer research are studied. Errors in computer calculations of simple expressions have been demonstrated. A mathematical substantiation of the problem of unstable initial values is constructed, when we know in advance the number to which the values of the members of the sequence should coincide, but standard methods of computer calculations give an incorrect result