A Polynomial Preconditioned Global CMRH Method for Linear Systems with Multiple Right‐Hand Sides

Ke Zhang and Chuanqing Gu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/457089

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:457089

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().