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Autor:
Iwo Biborski
Publikováno v:
Linear Algebra and its Applications. 632:246-257
The spread of a matrix is defined as the maximum of the distances between any two eigenvalues of that matrix. In this paper we investigate spread maximization as a function on a compact convex subset of the set of real symmetric matrices. We provide
Publikováno v:
Selecta Mathematica. 23:2523-2552
The article develops techniques for solving equations $$G(x,y)=0$$ , where $$G(x,y)=G(x_1,\ldots ,x_n,y)$$ is a function in a given quasianalytic class (for example, a quasianalytic Denjoy–Carleman class, or the class of $${\mathcal C}^\infty $$ fu
Autor:
Zofia Ambroży, Iwo Biborski
We show that the functions g and g s introduced by Guo Wuwen in [4] are continuous and semialgebraic. We use this fact to prove that the set N n of ordered n -tuples of real numbers, realizable by nonnegative matrices, is a closed set.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::663c31e6242822eb9e5af42e2a9680cd