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On the local convergence of an iterative approach for inverse singular value problems
- Source :
-
Journal of Computational & Applied Mathematics . Jan2007, Vol. 198 Issue 2, p344-360. 17p. - Publication Year :
- 2007
-
Abstract
- Abstract: The purpose of this paper is to provide the convergence theory for the iterative approach given by M.T. Chu [Numerical methods for inverse singular value problems, SIAM J. Numer. Anal. 29 (1992), pp. 885–903] in the context of solving inverse singular value problems. We provide a detailed convergence analysis and show that the ultimate rate of convergence is quadratic in the root sense. Numerical results which confirm our theory are presented. It is still an open issue to prove that the method is Q-quadratic convergent as claimed by M.T. Chu. [Copyright &y& Elsevier]
- Subjects :
- *STOCHASTIC convergence
*MATHEMATICAL functions
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 198
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 22473557
- Full Text :
- https://doi.org/10.1016/j.cam.2005.06.050