The Kalman variety of a linear subspace in a vector space consists of all endomorphism that possess an eigenvector in that subspace. We study the defining polynomials and basic geometric invariants of the Kalman variety.
Matrices with Eigenvectors in a Given Subspace / Giorgio Ottaviani; Bernd Sturmfels. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 141:(2013), pp. 1219-1232. [10.1090/S0002-9939-2012-11404-2]
Matrices with Eigenvectors in a Given Subspace
OTTAVIANI, GIORGIO MARIA;
2013
Abstract
The Kalman variety of a linear subspace in a vector space consists of all endomorphism that possess an eigenvector in that subspace. We study the defining polynomials and basic geometric invariants of the Kalman variety.
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