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Information × Registration Number 0223U001880, 0122U200118 , R & D reports Title Develop adaptive algorithms for high-performance computing for mathematical modeling of physical and technical processes in a changing computer environment. Step 2 "Develop elements of artificial intelligence for recognizing matrix structures of computational problems; investigate the use of mixed bit in solving linear algebra problems on computers with parallel computing." popup.stage_title Head Khimich Oleksandr M., Доктор фізико-математичних наук Registration Date 04-02-2023 Organization V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences of Ukraine popup.description2  The theoretical foundations were developed and the efficiency of using variable (mixed) bit depth and multibit arithmetic for solving computational problems (in particular, systems of linear algebraic equations and partial algebraic eigenvalue problem) arising in the mathematical modeling of physical and technical processes on parallel computers was investigated; a priori estimates of acceleration and efficiency coefficients and a priori estimates of errors of computer solutions when using mixed bit on hybrid architecture computers; study of the structures of matrices of computational problems, in particular, Jacobi matrices of systems of nonlinear equations; development of training tools for artificial neural networks for automatic computer identification of structures and characteristics of sparse matrices. Product Description popup.authors Popov Oleksandr V. Sydoruk Volodymyr A. Chystyakov Oleksii V. Chystyakova Tamara V. popup.nrat_date 2023-02-04 Close