Generalization and variations of Pellet's theorem for matrix polynomials

We derive a generalized matrix version of Pellet's theorem, itself based on a generalized Rouch\'{e} theorem for matrix-valued functions, to generate upper, lower, and internal bounds on the eigenvalues of matrix polynomials. Variations of the theorem are suggested to try and overcome situations where Pellet's theorem cannot be applied.Comment: 20 page

Geometric aspects of Pellet's and related theorems

Pellet's theorem determines when the zeros of a polynomial can be separated into two regions, according to their moduli. We refine one of those regions and replace it with the closed interior of a lemniscate that provides more precise information on the location of the zeros. Moreover, Pellet's theorem is considered the generalization of a zero inclusion region due to Cauchy. Using linear algebra tools, we derive a different generalization that leads to a sequence of smaller inclusion regions, which are also the closed interiors of lemniscates.Comment: 16 pages, 5 figure

Main trends in experimental morphological research in angiology and outlook for its development

The main prospective trends in the problem of collateral circulation and new trends in experimental angiology with respect to the effect of gravitational forces, hypodynamia and hypokinesia on the vascular bed are discussed

Draaiboek voor beoordeling natuurontwikkeling

Om natuurwaarden op oude landbouwgronden te realiseren zijn vaak ingrijpende en kostbare maatregelen nodig. Of het gewenste resultaat wordt bereikt was meestal moeilijk vast te stellen door een gebrek aan geregistreerde informatie. Alterra ontwikkelde een methode waarmee projecten voortaan beter kunnen worden geëvalueer