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A new iterative technique for large and dense linear systems from the MEI method in electromagnetics

  • Yao-Lin Jiang
  • , Yao-Wu Liu
  • , Kenneth K. Mei
  • , Richard M.M. Chen

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

In this paper we present a new iterative technique for large and dense linear systems. This technique originally came from the MEI method in electromagnetic fields. The effectiveness of the new technique is safeguarded by a convergence theorem given here. Numerical experiments illustrate that the computed errors for the first approximation with initial guess zero (i.e., the known MEI equation) are within 0.09-0.26%. © 2002 Elsevier Science Inc. All rights reserved.
Original languageEnglish
Pages (from-to)157-163
JournalApplied Mathematics and Computation
Volume139
Issue number1
DOIs
Publication statusPublished - 1 Jul 2003

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

This research was supported by the Hong Kong Research Grants Council 9040237, 9040421, 9040268, the Nature Science Foundation of China NSFC 10171080 and the National High Technology Research and Development Program of China 2001 AA 111 042 (863 Program).

Research Keywords

  • Dense and spare matrices
  • Integral equations and boundary element methods
  • Iterative methods
  • Linear systems
  • The MEI method in electromagnetics

RGC Funding Information

  • RGC-funded

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