On dependence of MR- and MM-algorithms upon the value of switching control variable CTR

Kozek and Trzmielak-Stanisławska (1987) proposed and theoretically justified some modifications of the M- and R-algorithms for zero-finding by Bus and Dekker (1975), called MM and MR, respectively. The modifications depend on some control variable ctr for which optimal critical values CTR based on a stochastic model of calculations were proposed. A comparative study of MR-, MM-algorithms with different values of CTR, and of the Bus-Dekker M- and R-algorithms was made, to support the theoretical conclusions. The present paper contains the results of this study and some supplementary conclusions.