Algebraic way in the description of the method of target iterative classification

In job the algorithm of target iterative classification (“CYCLE”) is considered from the point of view of the algebraic approach for algorithms of recognition with the standard training information. In the terms of the given approach for algorithm “CYCLE” is selected a class of the recognizing operators. The weak completeness of this class is proved. The reception of construction of the training tables is offered, on which the increase of quality of recognition is possible.