Hierarchical matrix: Difference between revisions

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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=Comp.Computing Vis.and Sci.Visualization in Science|volume=16|issue=6|pages=247&ndash;258|arxiv=1402.5056|doi=10.1007/s00791-015-0233-3}}</ref>
 
== Literature ==