The various matrix decompositions (LSP, PLUQ, LQUP, PLE, CUP …) and their relation to Gaussian elimination can be a bit confusing. Clément recently gave a nice talk about these, their relation, their complexities, parallelisation and our implementation of PLE decomposition in the M4RI library. I didn’t attend the talk but the slides surely are interesting.
Clément Pernet’s talk on Gaussian elimination
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