3 papers
math.NA2026
A fast direct solver based neural network for solving PDEs
Jashwanth Reddy Kadaru, Vaishnavi Gujjula
The matrices arising from large scale -body problems can be efficiently represented using hierarchical matrices, whose key idea is that the admissible off-diagonal sub-matrices…
math.NA2023
HODLR3D: Hierarchical matrices for -body problems in three dimensions
V A Kandappan, Vaishnavi Gujjula, Sivaram Ambikasaran
This article introduces HODLR3D, a class of hierarchical matrices arising out of -body problems in three dimensions. HODLR3D relies on the fact that certain off-diagonal matrix…
math.NA2022
HODLR2D: A new class of Hierarchical matrices
V A Kandappan, Vaishnavi Gujjula, Sivaram Ambikasaran
This article introduces HODLR2D, a new hierarchical low-rank representation for a class of dense matrices arising out of body problems in two dimensions. Using this new hierarc…