A method of reducing the number of members of the committee systems of linear inequalities

The problem of discriminant analysis under mild conditions is reduced to a system of linear inequalities. However, this system can turn out to be inconsistent, which happens rather frequently. This is when the method of committees is used. The quality of a committee is improved as the number of its members drops. A method of reducing the number of members of committees, if this is fundamentally possible, is considered. © 2017, Pleiades Publishing, Ltd.