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Computing and Visualization in Science |
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Arithmetic operations like multiplication, inversion, and Cholesky or LR factorization of H<sup>2</sup>-matrices
can be implemented based on two fundamental operations: the matrix-vector multiplication with submatrices
and the low-rank update of submatrices. While the matrix-vector multiplication is straightforward, implementing efficient low-rank updates with adaptively optimized cluster bases poses a significant challenge.<ref name="HARE14">{{cite journal|last=Börm|first=Steffen|last2=Reimer|first2=Knut|date=2015|title=Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates|journal=
== Literature ==
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