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math.NA2024★ 1 cited
On bundle closures of matrix pencils and matrix polynomials
Fernando De Terán, Froilán M. Dopico, Vadym Koval +1
Bundles of matrix polynomials are sets of matrix polynomials with the same size and grade and the same eigenstructure up to the specific values of the eigenvalues. It is known that…
math.NA2022★ 1 cited
Matrix pencils with the numerical range equal to the whole complex plane
Vadym Koval, Patryk Pagacz
The main purpose of this article is to show that the numerical range of a linear pencil is equal to if and only if belongs to the convex hull of the joint…