An iterative method for solving complex-symmetric systems arising in electrical power modeling

We propose an iterative method for solving a complex-symmetric linear system arising in electric power networks. Our method extends Gremban, Miller, and Zagha's [in Proceedings of the International Parallel Processing Symposium, IEEE Computer Society, Los Alamitos, CA, 1995] support-tree precon...

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Veröffentlicht in:	SIAM journal on matrix analysis and applications 2005, Vol.26 (4), p.1150-1178
Hauptverfasser:	HOWLE, Victoria E, VAVASIS, Stephen A
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Exact sciences and technology Generators Iterative methods Laboratories Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Sciences and techniques of general use
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Zusammenfassung:	We propose an iterative method for solving a complex-symmetric linear system arising in electric power networks. Our method extends Gremban, Miller, and Zagha's [in Proceedings of the International Parallel Processing Symposium, IEEE Computer Society, Los Alamitos, CA, 1995] support-tree preconditioner to handle complex weights and vastly different admittances. Our underlying iteration is a modification to transpose-free QMR to enhance accuracy. Computational results are described.
ISSN:	0895-4798 1095-7162
DOI:	10.1137/S0895479800370871