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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | George, S. | |
| dc.contributor.author | Pareth, S. | |
| dc.date.accessioned | 2020-03-31T06:51:36Z | - |
| dc.date.available | 2020-03-31T06:51:36Z | - |
| dc.date.issued | 2012 | |
| dc.identifier.citation | IAENG International Journal of Applied Mathematics, 2012, Vol.42, 3, pp.164-170 | en_US |
| dc.identifier.uri | http://idr.nitk.ac.in/jspui/handle/123456789/9859 | - |
| dc.description.abstract | In this paper, we consider, a finite dimensional realization of Newton type iterative method for Lavrentiev regularization of ill-posed equations. Precisely we consider the ill-posed equation F(x) = f when the available data is f ? with | en_US |
| dc.description.abstract | f - f ? | en_US |
| dc.description.abstract | ? ? and the operator F: D(F) ? X ? X is a nonlinear monotone operator defined on a real Hilbert space X. The error estimate obtained under a general source condition on x 0 - x? (where x 0 is the initial guess and x? is the solution of F(x) = f) is of optimal order. The regularization parameter ? is chosen according to the adaptive method considered by Perverzev and Schock (2005). An example is provided to show the efficiency of the proposed method. | en_US |
| dc.title | An application of newton type iterative method for lavrentiev regularization for ill-posed equations: Finite dimensional realization | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | 1. Journal Articles | |
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