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Application of the preconditioned conjugate‐gradient algorithm to the integral equations for microwave circuits
Author(s) -
Tsang K. F.,
Chen R. S.,
Lei Mo,
Yung Edward K. N.
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.10434
Subject(s) - conjugate gradient method , discretization , diagonal , mathematics , diagonal matrix , classification of discontinuities , matrix (chemical analysis) , biconjugate gradient method , algorithm , dimension (graph theory) , band matrix , microwave , mathematical analysis , symmetric matrix , square matrix , geometry , computer science , eigenvalues and eigenvectors , conjugate residual method , telecommunications , physics , combinatorics , materials science , gradient descent , composite material , quantum mechanics , machine learning , artificial neural network
In this Letter, both the banded diagonal matrix and the symmetric successive overrelaxation (SSOR) precondition CG techniques are applied to dense matrix equations from the mixed potential integral equation (MPIE) to enhance computational efficiency. Numerical calculations show that the banded diagonal matrix preconditioned conjugate‐gradient (CG) technique is efficient only for the discretization along one dimension, whereas the SSOR scheme is efficient for the discretization in two dimensions. Some typical microstrip discontinuities are analyzed and good results demonstrate the validity of the proposed algorithms. © 2002 Wiley Periodicals, Inc. Microwave Opt Technol Lett 34: 266–270, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10434