Parameter Influence On The Zeros Of Network­Determinants

• To a network N(q) with determinant D(s;q) depending on a parameter vector q Î Rr via identification of some of its vertices, a network N^ (q) is assigned. The paper deals with procedures to find N^ (q), such that its determinant D^ (s;q) admits a factorization in the determinants of appropriate subnetworks, and with the estimation of the deviation of the zeros of D^ from the zeros of D. To solve the estimation problem state space methods are applied.

Author: S. Feldmann, P. Lang, D. Prätzel-Wolters urn:nbn:de:hbz:386-kluedo-12983 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (36) Report English 2002 2002 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 2004/02/02 Equicofactor matrix polynomials; Matrix perturbation theory; Networks; Realization theory Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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