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

Authors:
Yao-Lin Jiang;Yao-Wu Liu;Kenneth K. Mei;Richard M. M. Chen
Affiliations:
Institute of Information and System Sciences, School of Science, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China;Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China;Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China;School of Creative Media, City University of Hong Kong, Hong Kong, China
Venue:
Applied Mathematics and Computation
Year:
2003

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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%.