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

'\nThe roughly create method of result problems within the automation of information impact in complicated information systems is ve lyki sparse systems of linear algebraical equations (RR SLE). But in practice, the development of automatize data bear on systems, which shall be motif to analysis, there is a lawn that affects the development and reality of algorithms and softw atomic number 18 for radical boundary-dynamic and multi-tomirnyh field problems that befall when solving coordination compound scientific plan problems, pattern recognition, cognition extraction, etc.. For this purpose it is requisite to consider both the theoretical plea for the sampling methods and their pragmatical implementation in view: raise approximation solution and the convergence of reckon algorithms. Among the set of alive methods for solving a class of problems of this excess place riddance methods. With its ample versatility as well - a number of advantages, projective techni ques are gaining increasing popularity. [1] The most famous of them - its the Ritz and Galerkin methods [2]. Their occasion [3] allows to approximate problems livelihood important properties of the maestro boundary cheer problem, in particular, symmetry, arrogant certainty teplytsevyh properties of matrices and others. For expulsion methods for solving a well-developed theory sketch of errors of approximate solutions. '