Hierarchical matrix: Difference between revisions

Revision as of 12:59, 4 February 2018

Revision as of 13:55, 16 May 2018

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<ref name="BERJ03">{{cite journal|last=Bebendorf|first=Mario|last2=Rjasanow|first2=Sergej|date=2003|title=Adaptive low-rank approximation of collocation matrices|journal=Computing|volume=70|pages=1&ndash;24|doi=10.1007/s00607-002-1469-6}}</ref>

<ref name="BOGR05">{{cite journal|last=Börm|first=Steffen|last2=Grasedyck|first2=Lars|date=2005|title=Hybrid cross approximation of integral operators|journal=Num. Math.|volume=101|pages=221&ndash;249|doi=10.1007/s00211-005-0618-1}}</ref>

,<ref name="BOCH16">{{cite journal|last=Börm|first=Steffen|last2=Christophersen|first2=Sven|date=2016|title=Approximation of integral operators by Green quadrature and nested cross approximation|journal=Num. Math.|volume=133|pages=409&ndash;442|url=https://dx.doi.org/10.1007/s00211-015-0757-y|doi=10.1007/s00211-015-0757-y|arxiv=1404.2234}}</ref>

preconditioning the resulting systems of linear equations

,<ref name="FAMEPR16">{{cite journal|last=Faustmann|first=Markus|last2=Melenk|first2=J.&nbsp;Markus|last3=Praetorius|first3=Dirk|date=2016|title=Existence of H-matrix approximants to the inverses of BEM matrices: The simple-layer operator|journal=Math. Comp.|volume=85|pages=119&ndash;152|url=https://dx.doi.org/10.1090/mcom/2990|doi=10.1090/mcom/2990}}</ref>