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A new method for network redesign via rank one updates
Author(s) -
Gernandt Hannes,
Krauße Dominik,
Sommer Ralf,
Trunk Carsten
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710396
Subject(s) - rank (graph theory) , eigenvalues and eigenvectors , set (abstract data type) , matrix (chemical analysis) , capacitance , computer science , mathematics , algorithm , theoretical computer science , combinatorics , materials science , chemistry , physics , programming language , electrode , quantum mechanics , composite material
We present a method to place the eigenvalues of an electrical network towards a prescribed set of complex numbers by inserting an additional capacitance into the network. For the proof, we use recent results on rank one perturbations of regular matrix pencils. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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