[00771] New class of Nested Hierarchical matrices and its applications
Session Time & Room : 5B (Aug.25, 10:40-12:20) @E603
Type : Contributed Talk
Abstract : I'll discuss a new class of nested Hierarchical matrices in $2$D (HODLR2D^2). This is based on weak admissibility criteria and the compressions are done using NCA. Using this Hierarchical framework, one can perform matrix-vector product that scales almost linearly; hence, large dense linear systems arising out of $N$ body problems can be solved using iterative solvers with almost linear complexity. Also, I'll discuss its performance over other Hierarchical matrices and applications in solving integral equation and radial basis interpolation.