A Polynomial Preconditioned Global CMRH Method for Linear Systems with Multiple Right-Hand Sides
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The restarted global CMRH method (Gl-CMRH(m)) (Heyouni, 2001) is an attractive method for linear systems with multiple right-hand sides.
However, Gl-CMRH(m) may converge slowly or even stagnate due to a limited Krylov subspace.
To ameliorate this drawback, a polynomial preconditioned variant of Gl-CMRH(m) is presented.
We give a theoretical result for the square case that assures that the number of restarts can be reduced with increasing values of the polynomial degree.
Numerical experiments from real applications are used to validate the effectiveness of the proposed method.
American Psychological Association (APA)
Zhang, Ke& Gu, Chuanqing. 2013. A Polynomial Preconditioned Global CMRH Method for Linear Systems with Multiple Right-Hand Sides. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-473007
Modern Language Association (MLA)
Zhang, Ke& Gu, Chuanqing. A Polynomial Preconditioned Global CMRH Method for Linear Systems with Multiple Right-Hand Sides. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-473007
American Medical Association (AMA)
Zhang, Ke& Gu, Chuanqing. A Polynomial Preconditioned Global CMRH Method for Linear Systems with Multiple Right-Hand Sides. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-473007
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473007