Finding eigenvalues of self-maps with the Kronecker canonical form

M. Ethier, G. Jablonski, M. Mrozek, in:, I. Kotsireas, E. Martínez-Moro (Eds.), Springer, 2017, pp. 119–136.

Download
No fulltext has been uploaded. References only!

Conference Paper | Published | English
Author
; ;
Editor
;
Department
Series Title
PROMS
Abstract
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.
Publishing Year
Date Published
2017-07-27
Volume
198
Page
119 - 136
Conference
ACA: Applications of Computer Algebra
Conference Location
Kalamata, Greece
Conference Date
2017-07-20 – 2017-07-23
IST-REx-ID

Cite this

Ethier M, Jablonski G, Mrozek M. Finding eigenvalues of self-maps with the Kronecker canonical form. In: Kotsireas I, Martínez-Moro E, eds. Vol 198. Springer; 2017:119-136. doi:10.1007/978-3-319-56932-1_8
Ethier, M., Jablonski, G., & Mrozek, M. (2017). Finding eigenvalues of self-maps with the Kronecker canonical form. In I. Kotsireas & E. Martínez-Moro (Eds.) (Vol. 198, pp. 119–136). Presented at the ACA: Applications of Computer Algebra, Kalamata, Greece: Springer. https://doi.org/10.1007/978-3-319-56932-1_8
Ethier, Marc, Grzegorz Jablonski, and Marian Mrozek. “Finding Eigenvalues of Self-Maps with the Kronecker Canonical Form.” edited by Ilias Kotsireas and Edgar Martínez-Moro, 198:119–36. Springer, 2017. https://doi.org/10.1007/978-3-319-56932-1_8.
M. Ethier, G. Jablonski, and M. Mrozek, “Finding eigenvalues of self-maps with the Kronecker canonical form,” presented at the ACA: Applications of Computer Algebra, Kalamata, Greece, 2017, vol. 198, pp. 119–136.
Ethier M, Jablonski G, Mrozek M. 2017. Finding eigenvalues of self-maps with the Kronecker canonical form. ACA: Applications of Computer Algebra, PROMS, vol. 198. 119–136.
Ethier, Marc, et al. Finding Eigenvalues of Self-Maps with the Kronecker Canonical Form. Edited by Ilias Kotsireas and Edgar Martínez-Moro, vol. 198, Springer, 2017, pp. 119–36, doi:10.1007/978-3-319-56932-1_8.

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar
ISBN Search