A fully parallel method for tridiagonal eigenvalue problem

Kuiyuan Li

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-12

Abstract:

In this paper, a fully parallel method for finding all eigenvalues of a real matrix pencil ( A , B ) is given, where A and B are real symmetric tridiagonal and B is positive definite. The method is based on the homotopy continuation coupled with the strategy ?Divide-Conquer? and Laguerre iterations. The numerical results obtained from implementation of this method on both single and multiprocessor computers are presented. It appears that our method is strongly competitive with other methods. The natural parallelism of our algorithm makes it an excellent candidate for a variety of advanced architectures.

Date: 1994
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/17/683921.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/17/683921.xml (text/xml)

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:hin:jijmms:683921

DOI: 10.1155/S0161171294001043

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().