Finite dimensional realization of a Tikhonov gradient type-method under weak conditions

DOI10.1007/s12215-016-0241-2zbMath1356.65147OpenAlexW2303512694MaRDI QIDQ2374445

Santhosh George, P. Jidesh, Vorkady. S. Shubha

Publication date: 15 December 2016

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-016-0241-2

zbMATH Keywords

algorithmiterative methodTikhonov regularizationadaptive methodnonlinear inverse problemsnonlinear ill-posed operator equationsTikhonov gradient-type method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (3)

Finite dimensional realization of a Tikhonov gradient type-method under weak conditions ⋮ A simplified iteratively regularized projection method for nonlinear ill-posed problems ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators
• Iterative regularization methods for nonlinear ill-posed problems
• An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems
• The problem of the convergence of the iteratively regularized Gauss- Newton method
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• A family of strings with spin
• Inverse free iterative methods for nonlinear ill-posed operator equations
• Finite dimensional realization of a Tikhonov gradient type-method under weak conditions
• 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
• Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems
• Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation
• On convergence of regularized modified Newton's method for nonlinear ill-posed problems
• A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
• Iteratively Regularized Gauss–Newton Method for Nonlinear Inverse Problems with Random Noise
• A modified landweber method for inverse problems
• Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems
• On convergence rates for the iteratively regularized Gauss-newton method
• Some Newton-type methods for the regularization of nonlinear ill-posed problems
• On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

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