Perturbation analysis of an eigenvector-dependent nonlinear eigenvalue problem with applications

The eigenvector-dependent nonlinear eigenvalue problem arises in many important applications, such as the discretized Kohn–Sham equation in electronic structure calculations and the trace ratio problem in linear discriminant analysis. In this paper, we perform a perturbation analysis for the eigenve...

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Bibliographic Details
Published in:	BIT Vol. 60; no. 1; pp. 1 - 29
Main Authors:	Cai, Yunfeng, Jia, Zhigang, Bai, Zheng-Jian
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.03.2020 Springer Nature B.V
Subjects:	Computational Mathematics and Numerical Analysis Discriminant analysis Eigenvalues Eigenvectors Electronic structure Mathematics Mathematics and Statistics Numeric Computing Optimization Perturbation methods Upper bounds 47J10 Perturbation analysis Kohn–Sham equation 65F30 65F15 Trace ratio optimization Nonlinear eigenvalue problem 15A18
ISSN:	0006-3835, 1572-9125
Online Access:	Get full text
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