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ELA

EIGENVALUES OF PARTIALLY PRESCRIBED MATRICES

∗

MARIJA DODIG†

Abstract. In this paper, loop connections of two linear systems are studied. As the main result, the possible eigenvalues of a matrix of a system obtained as a result of these connections are determined.

Key words. Loop connections, Feedback equivalence, Eigenvalues.

AMS subject classifications.93B05, 15A21.

∗Received by the editors June 5, 2007. Accepted for publication June 8, 2008. Handling Editor:

Joao Filipe Queiro.

† Centro de Estruturas Lineares e Combinat´orias, CELC, Universidade de Lisboa, Av. Prof.

Gama Pinto 2, 1649-003 Lisboa, Portugal ([email protected]).

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 17, pp. 316-332, July 2008

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