Relevant bibliographies by topics / Jacobi-Davidson Iteration

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Jacobi-Davidson Iteration'

Author: Grafiati
Published: 6 September 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Jacobi-Davidson Iteration.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Jacobi-Davidson Iteration"

1

Zhao, Jutao, and Pengfei Guo. "A Study on the Convergence Analysis of the Inexact Simplified Jacobi–Davidson Method." Journal of Mathematics 2021 (December 7, 2021): 1–10. http://dx.doi.org/10.1155/2021/2123897.

Full text
Abstract:
The Jacobi–Davidson iteration method is very efficient in solving Hermitian eigenvalue problems. If the correction equation involved in the Jacobi–Davidson iteration is solved accurately, the simplified Jacobi–Davidson iteration is equivalent to the Rayleigh quotient iteration which achieves cubic convergence rate locally. When the involved linear system is solved by an iteration method, these two methods are also equivalent. In this paper, we present the convergence analysis of the simplified Jacobi–Davidson method and present the estimate of iteration numbers of the inner correction equation
APA, Harvard, Vancouver, ISO, and other styles
2

Kong, Yuan, and Yong Fang. "Behavior of the Correction Equations in the Jacobi–Davidson Method." Mathematical Problems in Engineering 2019 (August 5, 2019): 1–4. http://dx.doi.org/10.1155/2019/5169362.

Full text
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.
APA, Harvard, Vancouver, ISO, and other styles
3

Zhou, Yunkai. "Studies on Jacobi–Davidson, Rayleigh quotient iteration, inverse iteration generalized Davidson and Newton updates." Numerical Linear Algebra with Applications 13, no. 8 (2006): 621–42. http://dx.doi.org/10.1002/nla.490.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Sleijpen, Gerard L. G., and Henk A. Van der Vorst. "A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems." SIAM Review 42, no. 2 (2000): 267–93. http://dx.doi.org/10.1137/s0036144599363084.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

G. Sleijpen, Gerard L., and Henk A. Van der Vorst. "A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems." SIAM Journal on Matrix Analysis and Applications 17, no. 2 (1996): 401–25. http://dx.doi.org/10.1137/s0895479894270427.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Freitag, M. A., and A. Spence. "Rayleigh quotient iteration and simplified Jacobi–Davidson method with preconditioned iterative solves." Linear Algebra and its Applications 428, no. 8-9 (2008): 2049–60. http://dx.doi.org/10.1016/j.laa.2007.11.013.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Huang, Yin-Liang, Tsung-Ming Huang, Wen-Wei Lin, and Wei-Cheng Wang. "A Null Space Free Jacobi--Davidson Iteration for Maxwell's Operator." SIAM Journal on Scientific Computing 37, no. 1 (2015): A1—A29. http://dx.doi.org/10.1137/140954714.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Szyld, Daniel B., and Fei Xue. "Efficient Preconditioned Inner Solves For Inexact Rayleigh Quotient Iteration And Their Connections To The Single-Vector Jacobi–Davidson Method." SIAM Journal on Matrix Analysis and Applications 32, no. 3 (2011): 993–1018. http://dx.doi.org/10.1137/100807922.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Jia, ZhongXiao, and Zhen Wang. "A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem." Science in China Series A: Mathematics 51, no. 12 (2008): 2205–16. http://dx.doi.org/10.1007/s11425-008-0050-y.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Hochstenbach, Michiel E., and Yvan Notay. "Controlling Inner Iterations in the Jacobi–Davidson Method." SIAM Journal on Matrix Analysis and Applications 31, no. 2 (2009): 460–77. http://dx.doi.org/10.1137/080732110.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Jacobi-Davidson Iteration"

1

Freitag, Melina. "Inner-outer iterative methods for eigenvalue problems : convergence and preconditioning." Thesis, University of Bath, 2007. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.512248.

Full text
Abstract:
Many methods for computing eigenvalues of a large sparse matrix involve shift-invert transformations which require the solution of a shifted linear system at each step. This thesis deals with shift-invert iterative techniques for solving eigenvalue problems where the arising linear systems are solved inexactly using a second iterative technique. This approach leads to an inner-outer type algorithm. We provide convergence results for the outer iterative eigenvalue computation as well as techniques for efficient inner solves. In particular eigenvalue computations using inexact inverse iteration,
APA, Harvard, Vancouver, ISO, and other styles
2

Kumar, Neeraj. "Finite Element Method based Model Order Reduction for Electromagnetics." Thesis, 2016. https://etd.iisc.ac.in/handle/2005/4926.

Full text
Abstract:
Model order reduction (MOR) refers to the process of reducing the size of large scale discrete systems with the goal of capturing their behavior in a small and tractable model known as the reduced order model (ROM). ROMs are invariably constructed by projecting the original system onto a low rank subspace that captures the physics for specified range/s of parameter/s. The parameters, say for electromagnetic scattering, can be the frequency of excitation, angle of incidence, and/or material parameters. Thus, ROMs enable fast parameter sweep analysis and quick prototyping. Historically, a major
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Jacobi-Davidson Iteration"

1

Kumar, Neeraj, K. J. Vinoy, and S. Gopalakrishnan. "Jacobi-Davidson iteration based reduced order finite element models for radar cross-section." In 2013 IEEE Applied Electromagnetics Conference (AEMC). IEEE, 2013. http://dx.doi.org/10.1109/aemc.2013.7045048.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Kumar, Neeraj, K. J. Vinoy, and S. Gopalakrishnan. "Efficient finite element model order reduction of electromagnetic systems using fast converging Jacobi-Davidson Iteration." In 2014 IEEE International Microwave and RF Conference (IMaRC). IEEE, 2014. http://dx.doi.org/10.1109/imarc.2014.7038957.

Full text
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography