Fast computation of the rank profile matrix and the generalized Bruhat decomposition
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Publication:2628319
DOI10.1016/j.jsc.2016.11.011zbMath1375.65045arXiv1601.01798OpenAlexW2225704138MaRDI QIDQ2628319
Clément Pernet, Jean-Guillaume Dumas, Ziad Sultan
Publication date: 1 June 2017
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.01798
algorithmGaussian eliminationfactorizationrank profileechelon formfinite chain ringBruhat decompositionMcCoy's rankPLUQ decomposition
Factorization of matrices (15A23) Direct numerical methods for linear systems and matrix inversion (65F05) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items
Exact computations with quasiseparable matrices, Deterministic computation of the characteristic polynomial in the time of matrix multiplication, Elimination-based certificates for triangular equivalence and rank profiles
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