Error and convergence in numerical implementations of the conjugate gradient method (EM problems)

Error and convergence in numerical implementations of the conjugate gradient method (EM problems)

The conjugate gradient method has previously been applied in electromagnetics in two ways: to moment method matrices and directly to continuous operator equations. Numerical implementations of these two methods are shown here to be equivalent. It is concluded that the advantage of the conjugate grad...

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Veröffentlicht in:IEEE transactions on antennas and propagation 1988-12, Vol.36 (12), p.1824-1827
Hauptverfasser: Ray, S.L., Peterson, A.F.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Character generation
Convergence of numerical methods
Equations
Exact sciences and technology
Finite wordlength effects
Gradient methods
Iterative algorithms
Magnetics
Matrix decomposition
Moment methods
Radiocommunications
Radiowave propagation
Telecommunications
Telecommunications and information theory
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Zusammenfassung:The conjugate gradient method has previously been applied in electromagnetics in two ways: to moment method matrices and directly to continuous operator equations. Numerical implementations of these two methods are shown here to be equivalent. It is concluded that the advantage of the conjugate gradient method is therefore its potential computational efficiency as a solution procedure, not its ability to achieve a more exact solution than the moment method.< >
ISSN:0018-926X
1558-2221
DOI:10.1109/8.14405