• DocumentCode
    1895840
  • Title

    Approximate matrix factorization using overlapped localizing functions on a shifted tree

  • Author

    Xu, Xin ; Arcot, Kiran ; Adams, Robert J.

  • Author_Institution
    Electr. & Comput. Eng., Univ. of Kentucky, Lexington, KY, USA
  • fYear
    2010
  • fDate
    11-17 July 2010
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    Different types of local global solution (LOGOS) modes have been proposed to develop fast direct solvers for electromagnetic wave problems. While the non-overlapping localizing LOGOS (NL-LOGOS) factorization is provably error controllable, it is more difficult to control the factorization error when using overlapped localizing LOGOS (OL-LOGOS) modes. This paper describes a new procedure for obtaining the OL-LOGOS modes. It is shown that the new procedure provides higher efficiency than the NL-LOGOS factorization while providing improved error control performance.
  • Keywords
    electromagnetic waves; matrix decomposition; trees (mathematics); LOGOS; electromagnetic wave problems; error control performance; local global solution; matrix factorization; overlapped localizing functions; shifted tree; Canning; Equations; Error correction; Geometry; Matrix decomposition; Pediatrics; Sparse matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Antennas and Propagation Society International Symposium (APSURSI), 2010 IEEE
  • Conference_Location
    Toronto, ON
  • ISSN
    1522-3965
  • Print_ISBN
    978-1-4244-4967-5
  • Type

    conf

  • DOI
    10.1109/APS.2010.5561989
  • Filename
    5561989