--- _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: Special Sessions in Applications of Computer Algebra. Vol 198. Springer; 2017:119-136. doi:10.1007/978-3-319-56932-1_8' apa: 'Ethier, M., Jablonski, G., & Mrozek, M. (2017). Finding eigenvalues of self-maps with the Kronecker canonical form. In Special Sessions in Applications of Computer Algebra (Vol. 198, pp. 119–136). Kalamata, Greece: Springer. https://doi.org/10.1007/978-3-319-56932-1_8' chicago: Ethier, Marc, Grzegorz Jablonski, and Marian Mrozek. “Finding Eigenvalues of Self-Maps with the Kronecker Canonical Form.” In Special Sessions in Applications of Computer Algebra, 198:119–36. Springer, 2017. https://doi.org/10.1007/978-3-319-56932-1_8. ieee: M. Ethier, G. Jablonski, and M. Mrozek, “Finding eigenvalues of self-maps with the Kronecker canonical form,” in Special Sessions in Applications of Computer Algebra, 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.” Special Sessions in Applications of Computer Algebra, vol. 198, Springer, 2017, pp. 119–36, doi:10.1007/978-3-319-56932-1_8. 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' ...