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

Victoria E. Howle, Stephen A. Vavasis

Research output: Contribution to journalArticle

30 Scopus citations

Abstract

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 [6] to enhance accuracy. Computational results are described.

Original languageEnglish
Pages (from-to)1150-1178
Number of pages29
JournalSIAM Journal on Matrix Analysis and Applications
Volume26
Issue number4
DOIs
StatePublished - 2005

Keywords

  • Complex-symmetric systems
  • Electrical power networks
  • Iterative methods
  • Preconditioning
  • Support-tree preconditioning

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