SOME RESULTS ON THE JOINT HIGHER NUMERICAL RANGES AND RADII OF MATRICES

作者：Aghamollaei Gholamreza^*; Nourollahi Mohammad Ali

来源：Miscolc Mathematical Notes, 2017, 18(1): 47-56.

DOI：10.18514/MMN.2017.1728

• joint k-numerical range
• joint k-numerical radius
• joint k-norm
• matrix polynomial norms

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.

• 出版日期2017