Two-step Newton-Tikhonov method for Hammerstein-type equations: finite-dimensional realization

DOI10.5402/2012/783579zbMath1264.65214OpenAlexW2119249490WikidataQ58692358 ScholiaQ58692358MaRDI QIDQ1954426

Santhosh George, Monnanda Erappa Shobha

Publication date: 11 June 2013

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/783579

zbMATH Keywords

nonlinear ill-posed Hammerstein-type operator equationstwo-Step Newton-Tikhonov method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (2)

Expanding the applicability of a two step Newton-type projection method for ill-posed problems ⋮ Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations

Cites Work

• A convergence analysis for directional two-step Newton methods
• Iterative regularization methods for nonlinear ill-posed problems
• Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators
• A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations
• Continuous modified Newton's-type method for nonlinear operator equations
• A simplified generalized Gauss-Newton method for nonlinear ill-posed problems
• Newton–Tikhonov regularization of ill-posed Hammerstein operator equation
• An iterative regularization method for ill-posed Hammerstein type operator equation
• Regularized Versions of Continuous Newton's Method and Continuous Modified Newton's Method Under General Source Conditions
• A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations
• On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

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