On improving the semilocal convergence of newton-type iterative method for ill-posed Hammerstein type operator equations
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Date
2013
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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.
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Adaptive methods, Hammerstein, Ill posed problem, Monotone operators, Quartic convergence, Tikhonov method, Mathematical techniques, Mathematical operators
Citation
IAENG International Journal of Applied Mathematics, 2013, 43, 2, pp. 64-70