Supercomputer Environment for Recursive Matrix Algorithms

03/20/2023

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by   Gennadi Malaschonok, et al.

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A new runtime environment for the execution of recursive matrix algorithms on a supercomputer with distributed memory is proposed. It is designed both for dense and sparse matrices. The environment ensures decentralized control of the computation process. As an example of a block recursive algorithm, the Cholesky factorization of a symmetric positive definite matrix in the form of a block dichotomous algorithm is described. The results of experiments with different numbers of cores are presented, demonstrating good scalability of the proposed solution.