within this paper we make a comparison in terms of performances between the GMRES method and the K equivalent real formulation, when both applied to the solution of complex linear systems like Cz = γ. As well we point out how performances grow worse passing from complex to real arithmetics, except that C fulfills suitable conditions. Everything is verified over a set of matrices coming out from discretization via MoM of the electrical field integral equation in the electromagnetic scattering by an ideal electric conductor.

Equivalent Real Formulations for Solving Complex LInear Systems in Computational Electromagnetics / Angiulli, Giovanni; Tringali, S; Di Massa, G. - (2006). (Intervento presentato al convegno 5th European Conference on Numerical Methods in Electromagnetism tenutosi a Lilla - France nel November 29, 2006).

Equivalent Real Formulations for Solving Complex LInear Systems in Computational Electromagnetics

ANGIULLI, Giovanni;
2006-01-01

Abstract

within this paper we make a comparison in terms of performances between the GMRES method and the K equivalent real formulation, when both applied to the solution of complex linear systems like Cz = γ. As well we point out how performances grow worse passing from complex to real arithmetics, except that C fulfills suitable conditions. Everything is verified over a set of matrices coming out from discretization via MoM of the electrical field integral equation in the electromagnetic scattering by an ideal electric conductor.
2006
Computational Electromagnetics; Krylov Solvers; Method of Moments
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/15638
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