English

Highly Scalable Multiplication for Distributed Sparse Multivariate Polynomials on Many-core Systems

Symbolic Computation 2013-04-01 v1 Instrumentation and Methods for Astrophysics Distributed, Parallel, and Cluster Computing Mathematical Software

Abstract

We present a highly scalable algorithm for multiplying sparse multivariate polynomials represented in a distributed format. This algo- rithm targets not only the shared memory multicore computers, but also computers clusters or specialized hardware attached to a host computer, such as graphics processing units or many-core coprocessors. The scal- ability on the large number of cores is ensured by the lacks of synchro- nizations, locks and false-sharing during the main parallel step.

Keywords

Cite

@article{arxiv.1303.7425,
  title  = {Highly Scalable Multiplication for Distributed Sparse Multivariate Polynomials on Many-core Systems},
  author = {Mickael Gastineau and Jacques Laskar},
  journal= {arXiv preprint arXiv:1303.7425},
  year   = {2013}
}

Comments

15 pages, 5 figures

R2 v1 2026-06-21T23:50:21.644Z