Arrowhead decomposition for a block-tridiagonal system of linear equations

Pavel Belov, Eduard Nugumanov, Sergey Yakovlev

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


The arrowhead decomposition method which allows efficient parallel solution of a blocktridiagonal system of linear equations is presented. The computational speedup with respect to the matrix sweeping algorithm is analytically estimated by taking into account the number of elementary operations of multiplication for the parallel and serial parts of the decomposition method. It is shown that the maximal speedup is achieved for the finite number of parallel processors. For a given size of the initial system of linear equations, the parameters of the computational system which give the maximal speedup are obtained. Computational experiments confirm the analytical estimations of the computational speedup.

Original languageEnglish
Pages (from-to)447-452
Number of pages6
JournalCEUR Workshop Proceedings
StatePublished - 1 Jan 2015
Event1st Russian Conference on Supercomputing Days 2015, RuSCDays 2015 - Moscow, Russian Federation
Duration: 28 Sep 201529 Sep 2015

Scopus subject areas

  • Computer Science(all)


  • Arrowhead decomposition method
  • Block-tridiagonal matrix
  • Computational speedup
  • Matrix sweeping algorithm
  • Parallel solution
  • System of linear equations


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