{"alternative_title":["PROMS"],"_id":"836","doi":"10.1007/978-3-319-56932-1_8","conference":{"location":"Kalamata, Greece","name":"ACA: Applications of Computer Algebra","end_date":"2015-07-23","start_date":"2015-07-20"},"author":[{"last_name":"Ethier","first_name":"Marc","full_name":"Ethier, Marc"},{"orcid":"0000-0002-3536-9866","first_name":"Grzegorz","full_name":"Jablonski, Grzegorz","id":"4483EF78-F248-11E8-B48F-1D18A9856A87","last_name":"Jablonski"},{"full_name":"Mrozek, Marian","first_name":"Marian","last_name":"Mrozek"}],"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."}],"publication":"Special Sessions in Applications of Computer Algebra","publication_status":"published","type":"conference","date_updated":"2023-09-26T15:50:52Z","volume":198,"publication_identifier":{"isbn":["978-331956930-7"]},"isi":1,"external_id":{"isi":["000434088200008"]},"project":[{"_id":"255D761E-B435-11E9-9278-68D0E5697425","grant_number":"318493","name":"Topological Complex Systems","call_identifier":"FP7"}],"status":"public","page":"119 - 136","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","department":[{"_id":"HeEd"}],"article_processing_charge":"No","month":"07","date_created":"2018-12-11T11:48:46Z","citation":{"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.","short":"M. Ethier, G. Jablonski, M. Mrozek, in:, Special Sessions in Applications of Computer Algebra, Springer, 2017, pp. 119–136.","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>","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>.","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>","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.","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>."},"quality_controlled":"1","scopus_import":"1","title":"Finding eigenvalues of self-maps with the Kronecker canonical form","oa_version":"None","publist_id":"6812","language":[{"iso":"eng"}],"intvolume":"       198","day":"27","year":"2017","publisher":"Springer","ec_funded":1,"date_published":"2017-07-27T00:00:00Z"}