Efficient Gaussian Elimination on a 2D SIMD Array of Processors without Column Broadcasts
Distributed, Parallel, and Cluster Computing
2009-12-11 v1 Data Structures and Algorithms
Numerical Analysis
Abstract
This paper presents an efficient method for implementing the Gaussian elimination technique for an nxm (m>=n) matrix, using a 2D SIMD array of nxm processors. The described algorithm consists of 2xn-1=O(n) iterations, which provides an optimal speed-up over the serial version. A particularity of the algorithm is that it only requires broadcasts on the rows of the processor matrix and not on its columns. The paper also presents several extensions and applications of the Gaussian elimination algorithm.
Cite
@article{arxiv.0912.2047,
title = {Efficient Gaussian Elimination on a 2D SIMD Array of Processors without Column Broadcasts},
author = {Mugurel Ionut Andreica},
journal= {arXiv preprint arXiv:0912.2047},
year = {2009}
}