The Cache-Oblivious Gaussian Elimination Paradigm: Theoretical Framework, Parallelization and Experimental Evaluation

• Published in: Theory of computing systems Vol. 47; no. 4; pp. 878 - 919
• Main Authors: Chowdhury, Rezaul Alam, Ramachandran, Vijaya
• Format: Journal Article
• Language: English
• Published: New York Springer-Verlag 01.11.2010; Springer Nature B.V
• Subjects: Algorithms; Computer Science; Decomposition; Theory of Computation; Cache-oblivious; Tiling; Matrix multiplication; Parallel; Gaussian elimination; All-pairs shortest path

We consider triply-nested loops of the type that occur in the standard Gaussian elimination algorithm, which we denote by GEP (or the Gaussian Elimination Paradigm). We present two related cache-oblivious methods I-GEP and C-GEP, both of which reduce the number of cache misses incurred (or I/Os perf...