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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Vydáno v:Programming and computer software Ročník 48; číslo 2; s. 90 - 101
Hlavní autoři: Malaschonok, G. I., Sidko, A. A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Moscow Pleiades Publishing 01.04.2022
Springer Nature B.V
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ISSN:0361-7688, 1608-3261
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:0361-7688
1608-3261
DOI:10.1134/S0361768822020086