Efficient Gaussian Elimination on a 2D SIMD Array of Processors without Column Broadcasts

Mugurel Ionut Andreica (1)

1 Parallel and Distributed Systems Laboratory [Bucarest]

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.

Mots clés: parallel Gaussian elimination; SIMD; 2D processor array

Domaines: Algorithme et structure de données [cs.DS]; Calcul parallèle, distribué et partagé [cs.DC]

Mugurel Ionut Andreica. Efficient Gaussian Elimination on a 2D SIMD Array of Processors without Column Broadcasts. Scientific Bulletin - "Politehnica" University of Bucharest Electrical engineering and Computer science, 2009, 71 (4), pp.83-98. ⟨hal-00472610⟩