supported by Laboratory Directed Research and Development Funding from Berkeley Lab;provided by the Director,Office of Science,of the US Department of Energy(Grant No.DE-AC02-05CH11231);the Alfred P Sloan Foundation;the DOE Scientific Discovery through the Advanced Computing Program;the DOE Center for Applied Mathematics for Energy Research Applications Program;the National Science Foundation of USA(Grant Nos.DMS-1312659 and DMS-1454939)
For a sparse non-singular matrix A, generally A- 1 is a dense matrix. However, for a class of matrices, A-1 can be a matrix with off-diagonal decay properties, i.e., |Aij^-1| decays fast to 0 with respect to the inc...