On the eigenvalues and eigenvectors of block triangular preconditioned block matrices

Pestana, Jennifer (2014) On the eigenvalues and eigenvectors of block triangular preconditioned block matrices. SIAM Journal on Matrix Analysis and Applications, 35. pp. 517-525. ISSN 0895-4798 (https://doi.org/10.1137/130920897)

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Abstract

Block lower triangular matrices and block upper triangular matrices are popular preconditioners for $2\times 2$ block matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two preconditioned matrices are related.

ORCID iDs

Pestana, Jennifer ORCID: https://orcid.org/0000-0003-1527-3178

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• Item metadata

  Item type:	Article
  ID code:	55440
  Dates:	Date Event 24 April 2014 Published 24 April 2014 Published Online 19 February 2014 Accepted
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	03 Feb 2016 13:31
  Last modified:	12 Dec 2024 03:40
  URI:	https://strathprints.strath.ac.uk/id/eprint/55440