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This paper presents an efficient method for implementing the Gaussianelimination technique for an nxm (m>=n) matrix, using a 2D SIMD array of nxmprocessors. The described algorithm consists of 2xn-1=O(n) iterations, whichprovides an optimal speed-up over the serial version. A particularity of thealgorithm is that it only requires broadcasts on the rows of the processormatrix and not on its columns. The paper also presents several extensions andapplications of the Gaussian elimination algorithm.

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