[en] A mathematical models is presented on which base a rapid algorithm for determination of kinematic parameters of charged particle tracks with arbitrary number of measured points is developed. The track parameters are determined taking into account error total matrix in factor representation. The aim of the work is to obtain appropriate analytical representation for formulas needed to determine kinematic parameters of charged particle tracks. In particular, such representation has been for parameters of rectangular tracks. The algorithms could be used for processing both chamber photographs and of the electron experimental data