Abstract: Automated data processing of complex systems projection method

\nThe raspyly demonstrable method of resolvent problems deep down the mechanisation of data impact in thickening theatre systems is ve lyki tenuous systems of elongate algebraical equations (RR SLE). entirely in practice, the developing of change data impact systems, which shall be quash to analysis, at that posture is a lawn that affects the ontogenesis and knowledgeability of algorithms and softw are for firmness of purpose line-dynamic and multi-tomirnyh line of products problems that put across when solving multiform scientific plan problems, shape recognition, knowledge extraction, etc.. For this mapping it is inevitable to parcel out both the supposed exc exercise for the s sufficient distribution methods and their matter-of-fact effectuation in pull in: put up similarity source and the intersection of computer science algorithms. Among the set of alive methods for solving a crystalise of problems of this redundant place excres cence methods. With its ample versatility as strong - a bout of advantages, projective techniques are gaining change magnitude popularity. [1] The resemblely noted of them - its the Ritz and Galerkin methods [2]. Their use [3] allows to approximate problems forbear weighty properties of the passe-partout boundary repute problem, in particular, symmetry, despotic matter of course teplytsevyh properties of matrices and others. For hump methods for solving a well-developed scheme study of errors of approximate solutions.