Numerische Mathematik

, Volume 101, Issue 2, pp 221–249 | Cite as

Hybrid cross approximation of integral operators

  • Steffen BörmEmail author
  • Lars Grasedyck


The efficient treatment of dense matrices arising, e.g., from the finite element discretisation of integral operators requires special compression techniques. In this article we use the Open image in new window -matrix representation that approximates the dense stiffness matrix in admissible blocks (corresponding to subdomains where the underlying kernel function is smooth) by low-rank matrices. The low-rank matrices are assembled by a new hybrid algorithm (HCA) that has the same proven convergence as standard interpolation but also the same efficiency as the (heuristic) adaptive cross approximation (ACA).

Mathematics Subject Classification (2000)

45B05 65N38 68P05 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Max-Planck-Institute for Mathematics in the SciencesLeipzigGermany

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