On refinement of the generalized Bendixson theorem

Zhong Zhi Bai, Wen Ting Wu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We further refine and extend the results given by Bai and Ng (Numer. Math. 96 (2003) 197-220), obtaining a complete version of the generalized Bendixson theorem with respect to a square complex matrix pair. By relaxing these bounds we also provide a few simplified versions of this generalized Bendixson theorem, which are more intuitive in description and more convenient in application.

Original languageEnglish
Pages (from-to)125-138
Number of pages14
JournalApplied Numerical Mathematics
Volume164
DOIs
Publication statusPublished - Jun 2021

Keywords

  • Bendixson theorem
  • Eigenvalue distribution
  • Generalized Bendixson theorem
  • Matrix pair
  • Refinement

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