PPT-+ Symbolic sparse Gaussian elimination: A = LU

Add fill edge a gt b if there is a path from a to b through lowernumbered vertices But this doesn t work with numerical pivoting 1 2 3 4 7 6 5 A G A LU Nonsymmetric

matching column graph hall column matching hall graph block strong dulmage mendelsohn bipartite theorem alternating rows connected diagonal matrix

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