Year: 2018
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 1 : pp. 139–150
Abstract
A modification to the Newton method for nonlinear eigenvalue problems is proposed and locally quadratic convergence of this algorithm is established. Numerical examples show the efficiency of the method and reduced computational cost.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.100916.061117a
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 1 : pp. 139–150
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Nonlinear eigenvalue problem smallest singular value Newton method quadratic convergence.
-
Spectral Distribution and Numerical Methods for Rational Eigenvalue Problems
Chen, Xiaoping | Wei, Wei | Shi, Xueying | Luo, AnSymmetry, Vol. 14 (2022), Iss. 6 P.1270
https://doi.org/10.3390/sym14061270 [Citations: 1] -
A smallest singular value method for nonlinear eigenvalue problems
Sadkane, Miloud
Linear and Multilinear Algebra, Vol. 71 (2023), Iss. 1 P.16
https://doi.org/10.1080/03081087.2021.2017832 [Citations: 0] -
On Convergence of MRQI and IMRQI Methods for Hermitian Eigenvalue Problems
Chen, Fang | Miao, Cun-Qiang | Muratova, Galina V.Communications on Applied Mathematics and Computation, Vol. 3 (2021), Iss. 1 P.189
https://doi.org/10.1007/s42967-020-00079-1 [Citations: 1]