An algorithmic approach to simultaneous triangularization

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We present and prove the validity of an algorithm constructing a simultaneous triangularization of a set on N matrices in Cn × n. To do so, we first prove that if a set of matrices has a common block decomposition, then the set of matrices has a simultaneous triangularization if and only if the blocks on the diagonal have a simultaneous triangularization.

Original languageEnglish
Pages (from-to)2975-2981
Number of pages7
JournalLinear Algebra and Its Applications
Volume430
Issue number11-12
DOIs
StatePublished - 1 Jun 2009
Externally publishedYes

Keywords

  • Common eigenvector
  • Lie Algebra
  • Simultaneous triangularization

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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