270
Views
6
CrossRef citations to date
0
Altmetric
Section B

A Guass–Newton-like method for inverse eigenvalue problems

&
Pages 1435-1447 | Received 06 Aug 2012, Accepted 11 Nov 2012, Published online: 22 Feb 2013
 

Abstract

In this paper, we propose a Guass–Newton-like method for finding least-square solutions to inverse eigenvalue problems. We show that the proposed method converges under some mild conditions. In particular, if the method converges to the exact solution, the convergence rate is at least quadratic in the root sense. Numerical examples are given to justify the theoretical result.

2010 AMS Subject Classifications :

Acknowledgements

The authors are very grateful to the two anonymous referees for their valuable comments which have considerably improved this paper. The authors also thank Prof. Xiao-Qing Jin for helpful discussions on this problem. This research is supported by the grant MYRG086(Y1-L2)-FST12-VSW from the University of Macau.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.