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arXiv · 1012.1016

Matrices with Eigenvectors in a Given Subspace

Giorgio Ottaviani·Bernd Sturmfels
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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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Giorgio Ottaviani, Bernd Sturmfels. 2010-12-05. Matrices with Eigenvectors in a Given Subspace. https://arxiv.org/abs/1012.1016

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