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

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

doi:10.1109/APS.2006.1711524

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

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

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

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 language	English
Pages (from-to)	4081-4084
Number of pages	4
Journal	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
DOIs	https://doi.org/10.1109/APS.2006.1711524
State	Published - 2006
Event	IEEE Antennas and Propagation Society International Symposium, APS 2006 - Albuquerque, NM, United States Duration: Jul 9 2006 → Jul 14 2006

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Publisher Copyright:
©2006 IEEE

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/APS.2006.1711524

Cite this

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title = "Sparse Factorization of the Impedance Matrix in an Overlapped Localizing Basis: TMz Case",

abstract = "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.",

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N2 - 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.

AB - 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.

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

Abstract

Bibliographical note

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