Browsing Mathematics by Author "George, S."

Now showing items 1-10 of 10

An a-posteriori parameter choice for simplified regularization of ill-posed problems

George, S.; Nair, M.T. (Integral Equations and Operator Theory. 16(3); 1993; 392-399.)

An a posteriori parameter choice strategy is proposed for the simplified regularization of ill-posed problems where no information about the smoothness of the unknown solution is required. If the smoothness of the solution ...
Approximation Methods for Ill-Posed Operator Equations

George, S.
Approximation Methods for Nonlinear Ill-Posed Hammerstein Type Operator Equations

Kunhanandan, M.
A class of discrepancy principles for the simplified regularization of ill-posed problems

George, S.; Nair, M.T. (Journal of the Australian Mathematical Society Series B-Applied Mathematics. 36; 1994; 242-248.)

A class of discrepancy principles for the choice of parameters for the simplified regularization of ill-posed problems is proposed. This procedure does not require knowledge of the unknown solution, and if the smoothness ...
An iterative regularization method for ill-posed Hammerstein type operator equation

George, S.; Kunhanandan, M. (Journal of Inverse and Ill-Posed Problems. 17(9); 2009; 831-844.)

A combination of Newton's method and a regularization method has been considered for obtaining a stable approximate solution for ill-posed Hammerstein type operator equation. By choosing the regularization parameter according ...
An iterative regularization method for ill-posed Hammerstein type operator equations with monotone nonlinear part

Kunhanandan, M.; George, S. (International Journal of Mathematical Analysis. 4(34); 2010; 1673-1685.)

We considered a procedure for solving an ill-posed Hammerstein type operator equation KF(x) = y, by solving the linear equation Kz = y first for z and then solving the nonlinear equation F(x) = z. Convergence analysis is ...
Iterative regularization methods for ill-posed Hammerstein-type operator equations in Hilbert scales

Argyros, I.K.; George, S.; Kunhanandan, M. (Studia Universitatis Babes-Bolayi Mathematica. 59(2); 2014; 247-262.)

In this paper we report on a method for regularizing a nonlinear Hammerstein type operator equation in Hilbert scales. The proposed method is a combination of Lavrentieve regularization method and a Modified Newton's method ...
Newton Lavrentiev regularization for ill-posed operator equations in Hilbert scalese

George, S.; Pareth, S.; Kunhanandan, M. (Applied Mathematics and Computation. 219(24); 2013; 11191-11197.)

In this paper we consider the two step method for approximately solving the ill-posed operator equation F(x)=f, where F:D(F) subset of or equal to X to X, is a nonlinear monotone operator defined on a real Hilbert space ...
Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence-rates

George, S.; Nair, M.T. (Journal of Optimization Theory and Applications. 83(1); 1994; 217-222.)

Schock (Ref. 1) considered a general a posteriori parameter choice strategy for the Tikhonov regularization of the ill-posed operator equation Tx=y which provides nearly the optimal rate of convergence if the minimal-norm ...
A two step Newton type iteration for ill-posed Hammerstein type operator equations in Hilbert scales

Shobha, M.E.; George, S.; Kunhanandan, M. (Journal of Integral Equations and Applications. 26(1); 2014; 91-116.)

In this paper regularized solutions of ill-posed Hammerstein type operator equation KF(x) = y, where K : X->Y is a bounded linear operator with non-closed range and F : X->X is non-linear, are obtained by a two step Newton ...

Now showing items 1-10 of 10

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Browsing Mathematics by Author "George, S."

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