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math.NA2022★ 3 cited
HODLRD: A new Black-box fast algorithm for -body problems in -dimensions with guaranteed error bounds
Ritesh Khan, V A Kandappan, Sivaram Ambikasaran
In this article, we prove new theorems bounding the rank of different sub-matrices arising from these kernel functions. Bounds like these are often useful for analyzing the complex…
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…