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

doi:10.1016/S0096-3003(02)00187-X

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

School of Mathematics and Statistics

City University of Hong Kong

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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%.

Original language	English
Pages (from-to)	157-163
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	139
Issue number	1
DOIs	https://doi.org/10.1016/S0096-3003(02)00187-X
State	Published - 1 Jul 2003

Keywords

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

Access to Document

10.1016/S0096-3003(02)00187-X

Cite this

@article{2573100bd3f04419b41b7641c95d5cc8,

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

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\%.",

keywords = "Dense and spare matrices, Integral equations and boundary element methods, Iterative methods, Linear systems, The MEI method in electromagnetics",

author = "Jiang, \{Yao Lin\} and Liu, \{Yao Wu\} and Mei, \{Kenneth K.\} and Chen, \{Richard M.M.\}",

year = "2003",

month = jul,

day = "1",

doi = "10.1016/S0096-3003(02)00187-X",

language = "英语",

volume = "139",

pages = "157--163",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "1",

}

TY - JOUR

T1 - A new iterative technique for large and dense linear systems from the MEI method in electromagnetics

AU - Jiang, Yao Lin

AU - Liu, Yao Wu

AU - Mei, Kenneth K.

AU - Chen, Richard M.M.

PY - 2003/7/1

Y1 - 2003/7/1

N2 - 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%.

AB - 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%.

KW - Dense and spare matrices

KW - Integral equations and boundary element methods

KW - Iterative methods

KW - Linear systems

KW - The MEI method in electromagnetics

UR - https://www.scopus.com/pages/publications/0037410890

U2 - 10.1016/S0096-3003(02)00187-X

DO - 10.1016/S0096-3003(02)00187-X

M3 - 文章

AN - SCOPUS:0037410890

SN - 0096-3003

VL - 139

SP - 157

EP - 163

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this