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arXiv · 2003.09956

Scalable parallel algorithm for solving non-stationary systems of linear inequalities

Leonid B. Sokolinsky·Irina M. Sokolinskaya
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Abstract

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.

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Leonid B. Sokolinsky, Irina M. Sokolinskaya. 2020-03-22. Scalable parallel algorithm for solving non-stationary systems of linear inequalities. https://doi.org/10.1134/s1995080220080181

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