Some results on the joint higher numerical ranges and radii of matrices

Some results on the joint higher numerical ranges and radii of matrices

In this paper, some algebraic properties of the joint k-numerical radius, joint k- radius and the joint k-norm of matrices are investigated. Moreover, using the joint higher numerical ranges of diagonal matrices which are convex polyhedrons, a description for the shape of the higher numerical ranges...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2017, Vol.18 (1), p.47-56
Hauptverfasser: Aghamollaei, Gholamreza, Nourollahi, Mohammad Ali
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, some algebraic properties of the joint k-numerical radius, joint k- radius and the joint k-norm of matrices are investigated. Moreover, using the joint higher numerical ranges of diagonal matrices which are convex polyhedrons, a description for the shape of the higher numerical ranges of matrix polynomials is given.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2017.1728