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Matrices with eigenvectors in a given subspace

Giorgio Ottaviani, Bernd Sturmfels

Source record

Source: Crossref

Published: Aug 31, 2012

DOI: 10.1090/s0002-9939-2012-11404-2

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Source abstract

The Kalman variety of a linear subspace in a vector space consists of all endomorphisms that possess an eigenvector in that subspace. We study the defining polynomials and basic geometric invariants of the Kalman variety.

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Matrices with eigenvectors in a given subspace — Mathematical Frontier Network