Improved LOGOS factorization algorithm for low-to-moderate frequencies

Xu Yuan; Xu Xin; Robert J. Adams

doi:10.1109/APS.2007.4396813

Improved LOGOS factorization algorithm for low-to-moderate frequencies

Xu Yuan, Xu Xin, Robert J. Adams

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

The advantages of the modifications summarized above (i.e., relaxed tolerance via (4) and fast ΘR factorization) for the algorithm indicated in Figure 1 are that: 1. The accuracy of the initial (sparse) representation of Z can be relaxed from O(ε²) to O(ε). 2. The LOGOS modes (both overlapped and non-overlapped) can be computed much more rapidly via the ΘR factorization. Numerical examples (2-D and 3-D) will be used to demonstrate these improvements. In particular, it will be shown that the proposed changes both reduce the total factorization times and memory requirements reported in [1]. For large problems, the total CPU costs are reduced by more than an order of magnitude.

Original language	English
Title of host publication	2007 IEEE Antennas and Propagation Society International Symposium, AP-S
Pages	5579-5582
Number of pages	4
DOIs	https://doi.org/10.1109/APS.2007.4396813
State	Published - 2007
Event	2007 IEEE Antennas and Propagation Society International Symposium, AP-S - Honolulu, HI, United States Duration: Jun 10 2007 → Jun 15 2007

Publication series

Name	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)	1522-3965

Conference

Conference	2007 IEEE Antennas and Propagation Society International Symposium, AP-S
Country/Territory	United States
City	Honolulu, HI
Period	6/10/07 → 6/15/07

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/APS.2007.4396813

Cite this

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title = "Improved LOGOS factorization algorithm for low-to-moderate frequencies",

abstract = "The advantages of the modifications summarized above (i.e., relaxed tolerance via (4) and fast ΘR factorization) for the algorithm indicated in Figure 1 are that: 1. The accuracy of the initial (sparse) representation of Z can be relaxed from O(ε2) to O(ε). 2. The LOGOS modes (both overlapped and non-overlapped) can be computed much more rapidly via the ΘR factorization. Numerical examples (2-D and 3-D) will be used to demonstrate these improvements. In particular, it will be shown that the proposed changes both reduce the total factorization times and memory requirements reported in [1]. For large problems, the total CPU costs are reduced by more than an order of magnitude.",

author = "Xu Yuan and Xu Xin and Adams, {Robert J.}",

year = "2007",

doi = "10.1109/APS.2007.4396813",

language = "English",

isbn = "1424408776",

series = "IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)",

pages = "5579--5582",

booktitle = "2007 IEEE Antennas and Propagation Society International Symposium, AP-S",

note = "2007 IEEE Antennas and Propagation Society International Symposium, AP-S ; Conference date: 10-06-2007 Through 15-06-2007",

}

Yuan, X, Xin, X & Adams, RJ 2007, Improved LOGOS factorization algorithm for low-to-moderate frequencies. in 2007 IEEE Antennas and Propagation Society International Symposium, AP-S., 4396813, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), pp. 5579-5582, 2007 IEEE Antennas and Propagation Society International Symposium, AP-S, Honolulu, HI, United States, 6/10/07. https://doi.org/10.1109/APS.2007.4396813

Improved LOGOS factorization algorithm for low-to-moderate frequencies. / Yuan, Xu; Xin, Xu; Adams, Robert J.
2007 IEEE Antennas and Propagation Society International Symposium, AP-S. 2007. p. 5579-5582 4396813 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Xin, Xu

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N2 - The advantages of the modifications summarized above (i.e., relaxed tolerance via (4) and fast ΘR factorization) for the algorithm indicated in Figure 1 are that: 1. The accuracy of the initial (sparse) representation of Z can be relaxed from O(ε2) to O(ε). 2. The LOGOS modes (both overlapped and non-overlapped) can be computed much more rapidly via the ΘR factorization. Numerical examples (2-D and 3-D) will be used to demonstrate these improvements. In particular, it will be shown that the proposed changes both reduce the total factorization times and memory requirements reported in [1]. For large problems, the total CPU costs are reduced by more than an order of magnitude.

AB - The advantages of the modifications summarized above (i.e., relaxed tolerance via (4) and fast ΘR factorization) for the algorithm indicated in Figure 1 are that: 1. The accuracy of the initial (sparse) representation of Z can be relaxed from O(ε2) to O(ε). 2. The LOGOS modes (both overlapped and non-overlapped) can be computed much more rapidly via the ΘR factorization. Numerical examples (2-D and 3-D) will be used to demonstrate these improvements. In particular, it will be shown that the proposed changes both reduce the total factorization times and memory requirements reported in [1]. For large problems, the total CPU costs are reduced by more than an order of magnitude.

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Improved LOGOS factorization algorithm for low-to-moderate frequencies

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