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 language | English |
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Pages (from-to) | 125-138 |
Number of pages | 14 |
Journal | Applied Numerical Mathematics |
Volume | 164 |
DOIs | |
Publication status | Published - Jun 2021 |
Keywords
- Bendixson theorem
- Eigenvalue distribution
- Generalized Bendixson theorem
- Matrix pair
- Refinement