2016 :
Fast Computation of the Rank Profile Matrix and the Generalized Bruhat Decomposition
Jean-Guillaume Dumas, Clément Pernet and Ziad Sultan. January 2016
Keywords: Echelon form, Rank profile, Gaussian elimination, McCoy's rank, Bruhat decomposition, PLUQ decomposition
2015 :
Computing the Rank Profile Matrix
Jean-Guillaume Dumas, Clément Pernet and Ziad Sultan.
ISSAC'15 , July 2015
Keywords: Gaussian elimination, Rank profile, Echelon form, PLUQ decomposition.
Parallel Algebraic Linear Algebra Dedicated Interface ( pdf )
Thierry Gautier, Jean-Louis Roch, Ziad Sultan and Bastien Vialla
PASCO'15 , July 2015
Keywords: Domain Specific Language, Shared Memory Parallelism, Dataflow Parallelism, Cutting Strategy
Recursion based parallelization of exact dense linear algebra routines for Gaussian elimination
Jean-Guillaume Dumas, Thierry Gautier, Clément Pernet, Jean-Louis Roch and Ziad Sultan.
Keywords: PLUQ decomposition, Parallel shared memory computation, Finite field, Dataflow task dependencies, NUMA architecture
2014 :
Parallel computation of echelon forms
Jean-Guillaume Dumas, Thierry Gautier, Clément Pernet and Ziad Sultan.
EuroPar 2014 , Porto
Keywords: Echelon forms, Parallel algorithms
2013 :
Simultaneous computation of the row and column rank profiles ( pdf )
Jean-Guillaume Dumas, Clément Pernet and Ziad Sultan.
ISSAC'13 , Juin 2013
Keywords: Rank profile – PLUQ triangularization – Rank sensitive – In place.