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math.NA2018★ 4 cited
Symmetric indefinite triangular factorization revealing the rank profile matrix
Jean-Guillaume Dumas, Clement Pernet
We present a novel recursive algorithm for reducing a symmetric matrix to a triangular factorization which reveals the rank profile matrix. That is, the algorithm computes a factor…
math.NA2013★ 1 cited
Simultaneous computation of the row and column rank profiles
Jean-Guillaume Dumas, Clément Pernet, Ziad Sultan
Gaussian elimination with full pivoting generates a PLUQ matrix decomposition. Depending on the strategy used in the search for pivots, the permutation matrices can reveal some inf…