2 citations · 4 across the 4 of their papers we have counts for
5 papers
The higher rank numerical range of matrix polynomials
Aikaterini Aretaki, John Maroulas
The notion of the higher rank numerical range for matrix polynomials is introduced here and some fundamental geometrical properties…
The k-rank numerical radii
Aikaterini Aretaki, John Maroulas
The -rank numerical range is expressed via an intersection of a countable family of numerical ranges with respect to $n\times (n…
Investigating the Numerical Range of Non Square Matrices
Aikaterini Aretaki, John Maroulas
A presentation of numerical range for rectangular matrices is undertaken in this paper, introducing two different definitions and elaborating basic properties. Then we are extended…
The generalized Levinger transformation
M. Adam, J. Maroulas
In this paper, we present new results relating the numerical range of a matrix with generalized Levinger transformation $\mathcal{L}(A,α,β) = \alphaH_A +\betaS_A$, where …
Further results on the Craig-Sakamoto equation
John Maroulas
In this paper necessary and sufficient conditions are stated for the Craig-Sakamoto equation det(I-sA-tB) = det(I-sA)det(I-tB), for all scalars s, t. Moreover, spectral properties…