Eigenschemes and the Jordan canonical form

@article{Abo2016EigenschemesAT,
  title={Eigenschemes and the Jordan canonical form},
  author={Hirotachi Abo and David Eklund and Thomas Kahle and Chris Peterson},
  journal={Linear Algebra and its Applications},
  year={2016},
  volume={496},
  pages={121-151}
}
  • Hirotachi Abo, David Eklund, +1 author Chris Peterson
  • Published 2016
  • Mathematics
  • Linear Algebra and its Applications
  • Abstract We study the eigenscheme of a matrix which encodes information about the eigenvectors and generalized eigenvectors of a square matrix. The two main results in this paper are a decomposition of the eigenscheme of a matrix into primary components and the fact that this decomposition encodes the numeric data of the Jordan canonical form of the matrix. We also describe how the eigenscheme can be interpreted as the zero locus of a global section of the tangent bundle on projective space… CONTINUE READING

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