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MNM‐A novel technique for iterative solution of matrix equation arising in the method‐of‐moments formulation
Author(s) -
Mittra Raj,
Prakash V. V. S.,
Ma JiFu,
Yeo Junho,
Huang NengTien,
Kwon Soon Jae
Publication year - 2002
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.10243
Subject(s) - extrapolation , method of moments (probability theory) , conjugate gradient method , iterative method , mathematics , matrix (chemical analysis) , dependency (uml) , simple (philosophy) , algorithm , mathematical optimization , computer science , mathematical analysis , materials science , philosophy , statistics , software engineering , epistemology , estimator , composite material
This article introduces a simple and efficient technique for generating the initial guess for iterative solutions of a large dense system of linear equations arising in the method‐of‐moments (MoM) formulation of electromagnetic (EM) problems. The proposed approach is based on an extrapolation of the solution vector from those generated at previous frequencies. The extrapolated solution is further refined, if required, by using the conjugate gradient (CG) technique. Questions regarding the accuracy of the solution, as well as its dependency on the stopping criterion and the frequency step size, have been investigated for a large class of EM problems, and representative results are presented. The superiority of the present technique over existing approaches for generating the initial estimate of the solution is demonstrated. © 2002 Wiley Periodicals, Inc. Microwave Opt Technol Lett 33: 74–78, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10243