Scalable Parallel Algorithm for Solving Non-stationary Systems of Linear Inequalities.

Autor: Sokolinsky, L. B., Sokolinskaya, I. M.
Zdroj: Lobachevskii Journal of Mathematics; Aug2020, Vol. 41 Issue 8, p1571-1580, 10p
Abstrakt: In this paper, a scalable iterative projection-type algorithm for solving non-stationary systems of linear inequalities is considered. A non-stationary system is understood as a large-scale system of inequalities in which coefficients and constant terms can change during the calculation process. The proposed parallel algorithm uses the concept of pseudo-projection which generalizes the notion of orthogonal projection. The parallel pseudo-projection algorithm is implemented using the parallel BSF-skeleton. An analytical estimation of the algorithm scalability boundary is obtained on the base of the BSF cost metric. The large-scale computational experiments were performed on a cluster computing system. The obtained results confirm the efficiency of the proposed approach. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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