Victor P. Parallel algorithms for investigating and solving systems of linear algebraic equations with sparse matrices

Developed and investigated are parallel algorithms for direct and iterative methods for solving systems of linear algebraic equations with sparse matrices of irregular structure that arise in the mathematical modeling of processes, phenomena, systems in different subject areas, where solving problems of linear algebra is an intermediate or final stage. Investigated are properties of parallel algorithms, ascertained are conditions of expediency of using direct or iterative methods with previous resuming matrix to block structure. Algorithms are approbated for applied problems, especially for mathematical modeling in tasks of durability analysis of building structures. Results of research is executed both for the computers of traditional architecture and parallel MIMD-computers.