Supercomputer Environment for Recursive Matrix Algorithms

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...

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Bibliographic Details
Published in:arXiv.org 2023-03
Main Authors: Malaschonok, Gennadi, Sidko, Alla
Format: Article
Language:English
Subjects:
Algorithms
Cholesky factorization
Decentralized control
Distributed memory
Mathematical analysis
Sparse matrices
Supercomputers
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2303.11017