Parallel Algorithm for LaGrange’s Interpolation on BSN-Mesh

Abstract

The efficient mapping of numerical problems over parallel architectures is a desirable and challenging task. Bi-Swapped Networks (BSN) is a new class of network architecture related to the family of Swapped or Optical Transpose Interconnection System (OTIS) Networks. The architectural advancement of BSN ensures vertex symmetry and thus improves algorithmic efficiency. Further, it ensures regularity, modularity, scalability, robustness of the network. In the present article, parallel implementation of Lagrange’s interpolation over BSN-Mesh is performed. The architectural properties of BSN make it a desirable network for the efficient parallel mapping over it. The parallel algorithm for LaGrange’s interpolation is designed over BSN-Mesh and then analyzed accordingly. The proposed parallel algorithm claims to map LaGrange’s interpolation over BSN-Mesh in 12(n−1) electronic and five optical moves.