---
_id: '836'
abstract:
- lang: eng
  text: Recent research has examined how to study the topological features of a continuous
    self-map by means of the persistence of the eigenspaces, for given eigenvalues,
    of the endomorphism induced in homology over a field. This raised the question
    of how to select dynamically significant eigenvalues. The present paper aims to
    answer this question, giving an algorithm that computes the persistence of eigenspaces
    for every eigenvalue simultaneously, also expressing said eigenspaces as direct
    sums of “finite” and “singular” subspaces.
alternative_title:
- PROMS
article_processing_charge: No
author:
- first_name: Marc
  full_name: Ethier, Marc
  last_name: Ethier
- first_name: Grzegorz
  full_name: Jablonski, Grzegorz
  id: 4483EF78-F248-11E8-B48F-1D18A9856A87
  last_name: Jablonski
  orcid: 0000-0002-3536-9866
- first_name: Marian
  full_name: Mrozek, Marian
  last_name: Mrozek
citation:
  ama: 'Ethier M, Jablonski G, Mrozek M. Finding eigenvalues of self-maps with the
    Kronecker canonical form. In: <i>Special Sessions in Applications of Computer
    Algebra</i>. Vol 198. Springer; 2017:119-136. doi:<a href="https://doi.org/10.1007/978-3-319-56932-1_8">10.1007/978-3-319-56932-1_8</a>'
  apa: 'Ethier, M., Jablonski, G., &#38; Mrozek, M. (2017). Finding eigenvalues of
    self-maps with the Kronecker canonical form. In <i>Special Sessions in Applications
    of Computer Algebra</i> (Vol. 198, pp. 119–136). Kalamata, Greece: Springer. <a
    href="https://doi.org/10.1007/978-3-319-56932-1_8">https://doi.org/10.1007/978-3-319-56932-1_8</a>'
  chicago: Ethier, Marc, Grzegorz Jablonski, and Marian Mrozek. “Finding Eigenvalues
    of Self-Maps with the Kronecker Canonical Form.” In <i>Special Sessions in Applications
    of Computer Algebra</i>, 198:119–36. Springer, 2017. <a href="https://doi.org/10.1007/978-3-319-56932-1_8">https://doi.org/10.1007/978-3-319-56932-1_8</a>.
  ieee: M. Ethier, G. Jablonski, and M. Mrozek, “Finding eigenvalues of self-maps
    with the Kronecker canonical form,” in <i>Special Sessions in Applications of
    Computer Algebra</i>, Kalamata, Greece, 2017, vol. 198, pp. 119–136.
  ista: 'Ethier M, Jablonski G, Mrozek M. 2017. Finding eigenvalues of self-maps with
    the Kronecker canonical form. Special Sessions in Applications of Computer Algebra.
    ACA: Applications of Computer Algebra, PROMS, vol. 198, 119–136.'
  mla: Ethier, Marc, et al. “Finding Eigenvalues of Self-Maps with the Kronecker Canonical
    Form.” <i>Special Sessions in Applications of Computer Algebra</i>, vol. 198,
    Springer, 2017, pp. 119–36, doi:<a href="https://doi.org/10.1007/978-3-319-56932-1_8">10.1007/978-3-319-56932-1_8</a>.
  short: M. Ethier, G. Jablonski, M. Mrozek, in:, Special Sessions in Applications
    of Computer Algebra, Springer, 2017, pp. 119–136.
conference:
  end_date: 2015-07-23
  location: Kalamata, Greece
  name: 'ACA: Applications of Computer Algebra'
  start_date: 2015-07-20
date_created: 2018-12-11T11:48:46Z
date_published: 2017-07-27T00:00:00Z
date_updated: 2023-09-26T15:50:52Z
day: '27'
department:
- _id: HeEd
doi: 10.1007/978-3-319-56932-1_8
ec_funded: 1
external_id:
  isi:
  - '000434088200008'
intvolume: '       198'
isi: 1
language:
- iso: eng
month: '07'
oa_version: None
page: 119 - 136
project:
- _id: 255D761E-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '318493'
  name: Topological Complex Systems
publication: Special Sessions in Applications of Computer Algebra
publication_identifier:
  isbn:
  - 978-331956930-7
publication_status: published
publisher: Springer
publist_id: '6812'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finding eigenvalues of self-maps with the Kronecker canonical form
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 198
year: '2017'
...