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cs.SC2016★ 1 cited
Computing with quasiseparable matrices
Clement Pernet
The class of quasiseparable matrices is defined by a pair of bounds, called the quasiseparable orders, on the ranks of the maximal sub-matrices entirely located in their strictly l…
cs.SC2016★ 14 cited
Fast Computation of the Rank Profile Matrix and the Generalized Bruhat Decomposition
Jean-Guillaume Dumas, Clement Pernet, Ziad Sultan
The row (resp. column) rank profile of a matrix describes the stair-case shape of its row (resp. column) echelon form. We here propose a new matrix invariant, the rank profile matr…