Jacobi-like algorithms for the indefinite generalized Hermitian eigenvalue problem
| dc.contributor.author | Mehl, Christian | |
| dc.date.accessioned | 2021-12-17T10:05:15Z | |
| dc.date.available | 2021-12-17T10:05:15Z | |
| dc.date.issued | 2002-06-11 | |
| dc.description.abstract | We discuss structure-preserving Jacobi-like algorithms for the solution of the indefinite generalized Hermitian eigenvalue problem. We discuss a method based on the solution of Hermitian 4-by-4 subproblems which generalizes the Jacobi-like method of Bunse-Gerstner/Faßbender for Hamiltonian matrices. Furthermore, we discuss structure-preserving Jacobi-like methods based on the solution of non-Hermitian 2-by-2 subproblems. For these methods a local convergence proof is given. Numerical test results for the comparison of the proposed methods are presented. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15465 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14238 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | Jacobi-like method | en |
| dc.subject.other | Hermitian pencil | en |
| dc.subject.other | eigenvalues | en |
| dc.title | Jacobi-like algorithms for the indefinite generalized Hermitian eigenvalue problem | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2002, 738 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 65F15 Eigenvalues, eigenvectors | en |