Academic Journal
On the singular two-parameter eigenvalue problem II
| Τίτλος: | On the singular two-parameter eigenvalue problem II |
|---|---|
| Συγγραφείς: | Košir, Tomaž, Plestenjak, Bor |
| Πηγή: | Linear algebra and its applications, vol. 649, pp. 433-451, 2022. ; ISSN: 0024-3795 |
| Στοιχεία εκδότη: | Elsevier |
| Έτος έκδοσης: | 2022 |
| Συλλογή: | University of Ljubljana: Repository (RUJ) / Repozitorij Univerze v Ljubljani |
| Θεματικοί όροι: | singular two-parameter eigenvalue problem, Kronecker canonical form, minimal reducing subspace, stratification, singularni dvoparametrični problem lastnih vrednosti, Kroneckerjeva kanonična oblika, minimalni reducirajoči podprostor, stratifikacija, info:eu-repo/classification/udc/512.643:519.6 |
| Περιγραφή: | In the 1960s, Atkinson introduced an abstract algebraic setting for multiparameter eigenvalue problems. He showed that a nonsingular multiparameter eigenvalue problem is equivalent to the associated system of generalized eigenvalue problems, which is a key relation for many theoretical results and numerical methods for nonsingular multiparameter eigenvalue problems. In 2009, Muhič and Plestenjak extended the above relation to a class of singular two-parameter eigenvalue problems with coprime characteristic polynomials and such that all finite eigenvalues are algebraically simple. They introduced a way to solve a singular two-parameter eigenvalue problem by computing the common regular eigenvalues of the associated system of two singular generalized eigenvalue problems. Using new tools, in particular the stratification theory, we extend this connection to singular two-parameter eigenvalue problems with possibly multiple eigenvalues and such that characteristic polynomials can have a nontrivial common factor. |
| Τύπος εγγράφου: | article in journal/newspaper |
| Περιγραφή αρχείου: | application/pdf; text/url |
| Γλώσσα: | English |
| Relation: | info:eu-repo/grantAgreement/ARRS//N1-0154; https://plus.cobiss.net/cobiss/si/sl/bib/111311363 |
| Διαθεσιμότητα: | https://repozitorij.uni-lj.si/IzpisGradiva.php?id=139719 https://repozitorij.uni-lj.si/Dokument.php?id=160325&dn= https://repozitorij.uni-lj.si/Dokument.php?id=160324&dn= https://plus.cobiss.net/cobiss/si/sl/bib/111311363 https://hdl.handle.net/20.500.12556/RUL-139719 |
| Rights: | http://creativecommons.org/licenses/by-nc-nd/4.0/ ; info:eu-repo/semantics/openAccess |
| Αριθμός Καταχώρησης: | edsbas.AB0BDEC0 |
| Βάση Δεδομένων: | BASE |
| Η περιγραφή δεν είναι διαθέσιμη |