Comments to Symmetrical Smoothing Method and First Step to How to Avoid Irrelevant Extremums

Abstract

The main issues of the original Symmetrical smoothing method consists of approximation of the extremal volume of the set by the smooth symmetric function (sum of step functions) and then solve the optimization problem. when making optimization, besides symmetric solution, can occur another pretendents for the solution, which depends on $\sigma$. Next we show simple way how to avoid them.