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A generalization of inverse power method for computing eigenpairs of symmetric tensors.
- Source :
-
Linear & Multilinear Algebra . Dec2022, Vol. 70 Issue 20, p4973-4990. 18p. - Publication Year :
- 2022
-
Abstract
- In this paper, we propose generalized inverse power methods with variable shifts for finding the smallest H-/Z-eigenvalue and associated H-/Z-eigenvector of symmetric tensors. The methods are guaranteed to always converge to a H-/Z-eigenpair. Furthermore, for an even order nonsingular symmetric M -tensor, the proposed method with any positive initial point always converges to the smallest H-eigenvalue. Numerical results are reported to illustrate that the proposed methods often can find the smallest H-/Z-eigenvalue instead of other H-/Z-eigenvalues of symmetric tensors. Moreover, we can always get the smallest H-eigenvalue for an even order nonsingular symmetric M -tensor. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GENERALIZATION
*EIGENVALUES
*EIGENVECTORS
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 70
- Issue :
- 20
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 160969458
- Full Text :
- https://doi.org/10.1080/03081087.2021.1902461