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									As the result of theoretical analysis next information was concluded:
								 
									
										On the basis of the offered theoretical communication model and computing system architecture features
												comparative analysis of parallel matrix-vector calculation algorithms has been lead.
										On the basis of the item (1) result and parallel algorithms for the linear ODE systems Cauchy problem solving
												on SIMD computer systems [2] suitable block parallel algorithms for matrix–vector multiplication have been offered
												and investigated.
										On the basis of a material [5] parallel algorithm for the ODE system Cauchy problem solving has been offered and
												investigated for a fixed parameters of problem and computer system topology. 
									 
 
									In prospective further researches practical characteristics of performance of offered algorithms implementations on the
									computing system considered topology will be investigated. As priority task the finding-out problem of adequacy of theoretical
									characteristics conformity of the offered communication model and practical parameters for the investigated algorithms and
									the computing system is considered.
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