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Ilmenau : Universitätsverlag Ilmenau, 2021. - 131 Seiten.
ISBN 978-3-86360-246-8
DOI 10.22032/dbt.49285
URN urn:nbn:de:gbv:ilm1-2021000151
Preis (Druckausgabe): 19,90 €
Zugl.: Dissertation, Technische Universität Ilmenau, 2021
In this thesis we study the eigenvalues of linear matrix pencils and their behavior under perturbations of the pencil coefficients.
In particular we address
In (i) and (ii) we exploit the connection between matrix pencils and certain subspaces via their Weyr characteristics. This provides a way of lifting perturbation measures for subspaces such as the gap distance to the set of matrix pencils.
In (iii) one has to solve a large scale non-convex optimization problem which appears e.g. in optimal redesign of integrated circuits.
We show how feasible solutions close to the optimal value can be computed.
Finally, this is used to improve the bandwidth of two circuits (two-stage CMOS & μA741).
Zugriff auf den Volltext über die dbt:
https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2021000151
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