The article discusses the use of graphics processing units for solving large system of linear algebraic equations (SLAE). A heterogeneous multiprocessor computing platform produced by the NIIVK, whose architecture allows the integration of general‑ purpose microprocessor modules with graphics processor modules was used as an equipment for solving SLAEs. The description of the SLAE solution program, developed on the basis of the CUBLAS CUDA software interface library, is given. A method is proposed for increasing the accuracy of calculations of linear systems based on the use of a modified Gauss method. It has been established that the use of the modified Gauss method practically does not increase the program operation time with a significant increase in the accuracy of calculations. It is concluded that the use of graphics processors for solving SLAEs allows processing matrices of a larger size compared to the use of general‑purpose microprocessors.