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math.NA2026
Hybrid hierarchical matrices with adaptive mixed precision storage
Ritesh Khan, Erin Carson
Hierarchical matrices are data-sparse approximations of dense matrices that are widely used for fast matrix computations. Hierarchical matrices are built using a tree data structur…
math.NA2024
New Algebraic Fast Algorithms for -body Problems in Two and Three Dimensions
Ritesh Khan, Sivaram Ambikasaran
We present two new algebraic multilevel hierarchical matrix algorithms to perform fast matrix-vector product (MVP) for -body problems in dimensions, namely efficient $\mathc…
math.NA2024
A hybrid interpolation ACA accelerated method for parabolic boundary integral operators
Sivaram Ambikasaran, Ritesh Khan, Johannes Tausch +1
We consider piecewise polynomial discontinuous Galerkin discretizations of boundary integral reformulations of the heat equation. The resulting linear systems are dense and block-l…