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Behavior of the Correction Equations in the Jacobi–Davidson Method
- Source :
- Mathematical Problems in Engineering, Vol 2019 (2019)
- Publication Year :
- 2019
- Publisher :
- Hindawi Limited, 2019.
-
Abstract
- 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.
- Subjects :
- Current (mathematics)
Article Subject
Property (programming)
Iterative method
lcsh:Mathematics
General Mathematics
General Engineering
010103 numerical & computational mathematics
02 engineering and technology
lcsh:QA1-939
01 natural sciences
Hermitian matrix
lcsh:TA1-2040
Convergence (routing)
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
020201 artificial intelligence & image processing
0101 mathematics
lcsh:Engineering (General). Civil engineering (General)
Subspace topology
Mathematics
Subjects
Details
- ISSN :
- 15635147 and 1024123X
- Volume :
- 2019
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....5412e195d375664c8c30a6d05711d8fe