On Improving the Semilocal Convergence of Newton-Type Iterative Method for Ill-posed Hammerstein Type Operator Equations

Shobha, Monnanda Erappa and George, Santhosh (2013) On Improving the Semilocal Convergence of Newton-Type Iterative Method for Ill-posed Hammerstein Type Operator Equations. IAENG International Journal of Applied Mathematics, 43 (2).

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Abstract

George and Pareth( 2012), presented a quartically convergent Two Step Newton type method for approximately solving an ill-posed operator equation in the finite dimensional setting of Hilbert spaces. In this paper we use the analogous Two Step Newton type method to approximate a solution of ill-posed Hammerstein type operator equation.

Item Type: Article
Uncontrolled Keywords: Hammerstein operators, Quartic convergence, Newton Tikhonov method, monotone operator, ill-posed problems, adaptive method
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 27 Aug 2013 09:57
Last Modified: 27 Aug 2013 09:57
URI: http://eprints.manipal.edu/id/eprint/136917

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