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DC Field | Value | Language |
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dc.contributor.author | Pareth, S. | - |
dc.contributor.author | George, S. | - |
dc.date.accessioned | 2020-03-30T10:22:54Z | - |
dc.date.available | 2020-03-30T10:22:54Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Communications in Computer and Information Science, 2012, Vol.305 CCIS, , pp.302-310 | en_US |
dc.identifier.uri | http://idr.nitk.ac.in/jspui/handle/123456789/8865 | - |
dc.description.abstract | In this paper we consider the finite dimensional realization of a Newton-type iterative method for obtaining an approximate solution to the nonlinear ill-posed operator equation F(x) = f, where F:D(F) ? X ? X is a nonlinear monotone operator defined on a real Hilbert space X. It is assumed that F(x?) = f and that the only available data are f ? with ?f - f ?? ? ?. It is proved that the proposed method has a local convergence of order three. The regularization parameter ? is chosen according to the balancing principle considered by Perverzev and Schock (2005) and obtained an optimal order error bounds under a general source condition on x 0-x? (here x 0 is the initial approximation). The test example provided endorses the reliability and effectiveness of our method. � 2012 Springer-Verlag. | en_US |
dc.title | Projection scheme for newton-type iterative method for Lavrentiev regularization | en_US |
dc.type | Book chapter | en_US |
Appears in Collections: | 2. Conference Papers |
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