Nonparallel flat portions on the boundaries of numerical ranges of 4-by-4 nilpotent matrices
The 4-by-4 nilpotent matrices whose numerical ranges have nonparallel flat portions on their boundary that are on lines equidistant from the origin are characterized. Their numerical ranges are always symmetric about a line through the origin and all possible angles between the lines containing the...
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| Veröffentlicht in: | The Electronic journal of linear algebra 2021-08, Vol.37, p.504-523 |
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| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The 4-by-4 nilpotent matrices whose numerical ranges have nonparallel flat portions on their boundary that are on lines equidistant from the origin are characterized. Their numerical ranges are always symmetric about a line through the origin and all possible angles between the lines containing the flat portions are attained. |
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| ISSN: | 1081-3810 1081-3810 |
| DOI: | 10.13001/ela.2021.5785 |