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Revised Pursuit Algorithm for Solving Non-stationary Linear Programming Problems on Modern Computing Clusters with Manycore Accelerators

  • Irina Sokolinskaya
  • Leonid Sokolinsky
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 687)

Abstract

This paper is devoted to the new edition of the parallel Pursuit algorithm proposed the authors in previous works. The Pursuit algorithm uses Fejer’s mappings for building pseudo-projection on polyhedron. The algorithm tracks changes in input data and corrects the calculation process. The previous edition of the algorithm assumed using a cube-shaped pursuit region with the number of K cells in one dimension. The total number of cells is \(K^n\), where n is the problem dimension. This resulted in high computational complexity of the algorithm. The new edition uses a cross-shaped pursuit region with one cross-bar per dimension. Such a region consists of only \(n(K-1)+1\) cells. The new algorithm is intended for cluster computing system with Xeon Phi processors.

Keywords

Non-stationary linear programming problem Fejer’s mappings Pursuit algorithm Massive parallelism Cluster computing systems MIC architecture Intel Xeon Phi Native mode OpenMP 

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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  1. 1.South Ural State UniversityChelyabinskRussia

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