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Comparisons of the application of various conjugate‐gradient algorithms to electromagnetic radiation from conducting bodies of revolution
Author(s) -
Davidson David B.,
McNamara Derek A.
Publication year - 1988
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.4650010706
Subject(s) - preconditioner , conjugate gradient method , biconjugate gradient method , matrix (chemical analysis) , nonlinear conjugate gradient method , interpretation (philosophy) , biconjugate gradient stabilized method , method of moments (probability theory) , gradient method , mathematics , algorithm , computer science , iterative method , materials science , artificial intelligence , gradient descent , statistics , estimator , artificial neural network , composite material , programming language
Descriptions are given of the application of the classical conjugate‐gradient (CG) matrix solution algorithm and variants thereof (three types of preconditioner and the biconjugate gradient method) to the matrix equations obtained on application of the moment method to the reduced subproblems describing radiation from conducting bodies of revolution, and the associated numerical results. A recent debate in the literature on the interpretation of the application of CG methods to electromagnetic problems is put in perspective.