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A new method for solving systems of linear algebraic equations of a specialtype arising in solving problems of image reconstruction has been proposed.This method, due to a certain symmetry of the matrix and the choice of thevoxel numeration method for two-dimensional problems, allows us to divide theinitial system of algebraic equations into two independent systems, whichenables us to carry out the calculation in parallel. The dimension of thematrices of the resulting systems is 4 times less than the dimension of theoriginal matrix, and these matrices are less dispersed.

About one method of parallelization of calculations during the reconstruction of a tomographic image