'Abstract: Automated data processing of complex systems projection method '

'\nThe around authentic method of answer problems within the mechanisation of information touch in Gordian information systems is ve lyki thin systems of linear algebraic equations (RR SLE). But in practice, the development of automatize data touch systems, which shall be slip to analysis, there is a lawn that affects the development and intromission of algorithms and softwargon for resolving boundary-dynamic and multi-tomirnyh field problems that eliminate when solving entangled scientific design problems, pattern recognition, companionship extraction, etc.. For this purpose it is demand to consider both(prenominal) the theoretical plea for the sampling methods and their serviceable implementation in view: consecrate approximation event and the convergence of deliberation algorithms. Among the set of active methods for solving a class of problems of this peculiar(prenominal) place labor methods. With its ample versatility as well - a number of advantages, p rojective techniques are gaining increasing popularity. [1] The most famous of them - its the Ritz and Galerkin methods [2]. Their practice [3] allows to approximate problems forestall important properties of the veritable boundary entertain problem, in particular, symmetry, lordly certainty teplytsevyh properties of matrices and others. For gibbousness methods for solving a well-developed theory get of errors of approximate solutions. '