### Parallel Implementations of RCM Algorithm for Bandwidth Reduction of Sparse Matrices

#### Abstract

for reordering sparse matrices. It is typically used to speed up the computation of

sparse linear systems of equations. This paper describes two parallel approaches

for the RCM algorithm as well as an optimized version of each one based on some

proposed enhancements. The first one exploits a strategy for reducing lazy threads,

while the second one makes use of a static bucket array as the main data structure

and suppress some steps performed by the original algorithm. These related changes

led to outstanding reordering time results and significant bandwidth reductions.

The performance of two algorithms is compared with the respective implementation

made available by Boost library. The OpenMP framework is used for supporting

the parallelism and both versions of the algorithm are tested with large sparse and

structural symmetric matrices.

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DOI: https://doi.org/10.5540/tema.2017.018.03.449

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