sparsification
Laplacians.approxQual
Laplacians.conditionNumber
Laplacians.conditionNumber
Laplacians.sparsify
Laplacians.support
Laplacians.sparsify
— Method.as = sparsify(a; ep=0.5)
Apply Spielman-Srivastava sparsification: sampling by effective resistances. ep
should be less than 1.
Laplacians.approxQual
— Method.eps = approxQual(graph1, graph2; tol=1e-5, verbose=false)
Computes the eps for which graph1 and graph2 are eps approximations of each other. That is, L1 <= (1+eps) L2, and vice versa.
It is randomized, so you might want to run it again if you don't trust the answers.
Laplacians.conditionNumber
— Method.kappa = conditionNumber(graph, precon; tol=1e-5, verbose=false)
Computes the relative condition number of graph and a preconditioning function.
It is randomized, so you might want to run it again if you don't trust the answers.
Laplacians.conditionNumber
— Method.kapps = conditionNumber(graph1, graph2; tol=1e-5, verbose=false)
Computes the relative condition number of graph1 and graph2.
It is randomized, so you might want to run it again if you don't trust the answers.
Laplacians.support
— Method.sup12, sup21 = support(graph1, graph2; tol=1e-5)
Computes the support of graph1 wrt graph2, and the other way around. It is randomized, so you might want to run it again if you don't trust the answers.