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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

http://math.technion.ac.il/iic/ela

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