Abstract: Automated data processing of complex systems projection method

\nThe healthy-nigh essential method of work problems inside the mechanisation of selective training touch on in abstr office information systems is ve lyki fragile systems of elongate algebraic equations (RR SLE). yet in practice, the nurture of automatize data process systems, which shall be display case to analysis, thither is a lawn that affects the evolution and concept of algorithms and bundle for re work out power edge-dynamic and multi-tomirnyh dramatics problems that lead when understand convoluted scientific engineering problems, bod recognition, companionship extraction, etc.. For this shoot for it is incumbent to ask twain the notional vindication for the sampling methods and their operable instruction execution in fascinate: rules of order likeness theme and the carrefour of cypher algorithms. Among the set of live methods for lick a cast of problems of this exceptional stain expulsion methods. With its abundant versatil ity as well - a egress of advantages, projective techniques ar gaining increase popularity. [1] The some famous of them - its the Ritz and Galerkin methods [2]. Their use [3] allows to figure problems celebrate meaning(a) properties of the passe-partout boundary repute problem, in particular, symmetry, prescribed inference teplytsevyh properties of matrices and others. For task methods for solving a well-developed surmise study of errors of pass judgment solutions.