Aikaterini Aretaki

activity

20092020

most citedInvestigating the Numerical Range of Non Square Matrices

2 citations · 6 across the 5 of their papers we have counts for

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math.RA2011★ 2 cited

The higher rank numerical range of matrix polynomials

Aikaterini Aretaki, John Maroulas

The notion of the higher rank numerical range $Λ_{k} (L (λ))$ for matrix polynomials $L (λ) = A_{m} λ^{m} + ... + A_{1} λ + A_{0}$ is introduced here and some fundamental geometrical properties…

math.RA2011

The higher rank numerical range of nonnegative matrices

Aikaterini Aretaki, John Maroulas

In this article the well known "Perron-Frobenius theory" is investigated involving the higher rank numerical range $Λ_{k} (A)$ of an irreducible and entrywise nonnegative matrix $A$ …