Matrices with Eigenvectors in a Given Subspace
Algebraic Geometry
2012-10-22 v2 Optimization and Control
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.
Cite
@article{arxiv.1012.1016,
title = {Matrices with Eigenvectors in a Given Subspace},
author = {Giorgio Ottaviani and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1012.1016},
year = {2012}
}
Comments
13 pages, added five references