Sparse Factorization of the Impedance Matrix in an Overlapped Localizing Basis: TMz Case

R. J. Adams, Aiming Zhu, F. X. Canning

Research output: Contribution to journalConference articlepeer-review


It has been observed that localizing current modes provide sparse factorizations of discrete integral equations at low frequencies. This paper extends these results by incorporating overlapping localized modes. For TMz scattering, it is observed that the computational complexity of the resulting factorization algorithm approaches O(N log N) . The memory complexity of the factored representation scales approximately as O(N) for electrically small arrays. Results from the 3-D implementation of these algorithms will be presented separately at this meeting.

Original languageEnglish
Pages (from-to)4081-4084
Number of pages4
JournalIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
StatePublished - 2006
EventIEEE Antennas and Propagation Society International Symposium, APS 2006 - Albuquerque, NM, United States
Duration: Jul 9 2006Jul 14 2006

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Publisher Copyright:
©2006 IEEE

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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