DocumentCode
1221655
Title
Physical and mathematical structure determine convergence rate of iterative techniques
Author
Canning, Francis X.
Author_Institution
Rockwell Int. Sci. Center, Thousand Oaks, CA, USA
Volume
25
Issue
4
fYear
1989
fDate
7/1/1989 12:00:00 AM
Firstpage
2825
Lastpage
2827
Abstract
The use of various iterative techniques used to solve the moment-method equation is discussed. The conjugate gradient method has previously been used to solve moment-method problems. Since the moment-method matrix (theoretically) has a positive definite Hermitian part, the generalized conjugate residual (GCR) method can also be used. Sample calculations show that the GCR has superior convergence, especially when the moment-method discretization preserves the abovementioned matrix property
Keywords
convergence of numerical methods; iterative methods; conjugate gradient method; convergence rate; generalized conjugate residual; iterative techniques; mathematical structure; moment-method equation; moment-method matrix; Canning; Convergence; Eigenvalues and eigenfunctions; Equations; Gradient methods; Iterative algorithms; Iterative methods; Matrix decomposition; Moment methods; Scattering;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.34296
Filename
34296
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