vibro-Lanczos, a symmetric Lanczos solver for vibro-acoustic simulations

Umut Tabak, Daniel J. Rixen

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)


An efficient symmetric Lanczos method for the solution of vibro-acoustic eigenvalue problems is presented in this paper. Although finite element discretization results in real but nonsymmetric system matrices, we show that an efficient iteration scheme on a symmetric representation can be built up by using a transformation matrix. In order to decrease the numerical costs of the orthogonalizations performed, we propose to use a partial orthogonalization scheme for the symmetric case. The proposed method is tested on two large problems in order to demonstrate its efficiency and accuracy.

Original languageEnglish
Pages (from-to)290-311
JournalInternational Journal for Numerical Methods in Engineering
Issue number4
Publication statusPublished - 2016


  • Lanczos
  • partial reorthogonalization
  • symmetric
  • vibro-acoustics

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