A Parallel Algorithm for the Solution of the Deconvolution Problem on Heterogeneous Networks

In this work we present a parallel algorithm for the solution of a least squares problem with structured matrices. This problem arises in many applications mainly related to digital signal processing. The parallel algorithm is designed to speed up the sequential one on heterogeneous networks of computers. The parallel algorithm follows the HeHo strategy (Heterogeneous distribution of processes over processors with homogeneous distribution of computations over the processes) and is implemented using HeteroMPI, a recently developed extension of MPI for programming high performance computations on heterogeneous networks of computers. The obtained results validate HeteroMPI as a very useful tool for portable implementation of parallel algorithms for heterogeneous environments