Index rank-$k$ numerical range of matrices

We introduce the $\alpha-$higher rank form of the matrix numerical range, which is a special case of the matrix polynomial version of higher rank numerical range. We also, investigate some algebraic and geometrical properties of this set for general and nilpotent matrices. Some examples to confirm t...

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Veröffentlicht in:	Journal of Mahani Mathematical Research Center 2023-11, Vol.13 (1), p.525-534
Hauptverfasser:	Sharifeh Rezagholi, Rouholah Yasini
Format:	Artikel
Sprache:	eng
Schlagworte:	alpha-$higher rank numerical range alpha-$numerical range index higher rank numerical range index numerical range
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We introduce the $\alpha-$higher rank form of the matrix numerical range, which is a special case of the matrix polynomial version of higher rank numerical range. We also, investigate some algebraic and geometrical properties of this set for general and nilpotent matrices. Some examples to confirm the results are brought.
ISSN:	2251-7952 2645-4505
DOI:	10.22103/jmmr.2023.21566.1445