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Published January 1988 | public
Book Section - Chapter

Gauss-Jordan inversion with pivoting on the Caltech Mark II hypercube

Abstract

The performance of a parallel Gauss-Jordan matrix inversion algorithm on the Mark II hypercube3 at Caltech is discussed. We will show that parallel Gauss-Jordan inversion is superior to parallel Gaussian elimination for inversion, and discuss the reasons for this. Empirical and theoretical efficiencies for parallel Gauss-Jordan inversion as a function of matrix dimension for different numbers and configurations of processors are presented. The theoretical efficiencies are in quantitative agreement with the empirical efficiencies.

Additional Information

© 1988 ACM. It is a pleasure to acknowledge that this work was supported by the Department of Energy, grant DE-FG-03-85ER25009.

Additional details

Created:
August 19, 2023
Modified:
October 23, 2023