Two-frequency decomposition

A. Buzdin*, G. Wittum

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


In this paper, we present a preconditioner for large systems of linear equations based on the block decomposition for block-tridiagonal matrices. This decomposition is in many respects similar to the frequency-filtering method of Wittum [8] and also to the frequency-filtering decomposition of Wagner [4]-[6]. In contrast to these methods, our approach requires no pointwise filtering conditions but, as in [1], only averaged ones; this simplifies the implementation without any loss of efficiency. Theoretical analysis of the model problem leads to the convergence rate 1 - O(h1/3). Numerical experiments demonstrate similar convergence behaviour for a wider class of problems.

Original languageEnglish (US)
Pages (from-to)269-295
Number of pages27
JournalNumerische Mathematik
Issue number2
StatePublished - Apr 2004
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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