MMN-1728

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

Gholamreza Aghamollaei; Mohammad Ali Nourollahi;

Abstract

In this paper‎, some algebraic properties of the joint k-numerical radius‎, ‎joint k-spectral 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.


Vol. 18 (2017), No. 1, pp. 47-56
DOI: https://doi.org/10.18514/MMN.2017.1728


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