Behavior of the Correction Equations in the Jacobi–Davidson Method
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-08-05
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
The Jacobi–Davidson iteration method is efficient for computing several eigenpairs of Hermitian matrices.
Although the involved correction equation in the Jacobi–Davidson method has many developed variants, the behaviors of them are not clear for us.
In this paper, we aim to explore, theoretically, the convergence property of the Jacobi–Davidson method influenced by different types of correction equations.
As a by-product, we derive the optimal expansion vector, which imposed a shift-and-invert transform on a vector located in the prescribed subspace, to expand the current subspace.
American Psychological Association (APA)
Kong, Yuan& Fang, Yong. 2019. Behavior of the Correction Equations in the Jacobi–Davidson Method. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-4.
https://search.emarefa.net/detail/BIM-1195998
Modern Language Association (MLA)
Kong, Yuan& Fang, Yong. Behavior of the Correction Equations in the Jacobi–Davidson Method. Mathematical Problems in Engineering No. 2019 (2019), pp.1-4.
https://search.emarefa.net/detail/BIM-1195998
American Medical Association (AMA)
Kong, Yuan& Fang, Yong. Behavior of the Correction Equations in the Jacobi–Davidson Method. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-4.
https://search.emarefa.net/detail/BIM-1195998
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195998