scientific article; zbMATH DE number 7705670

zbMath1519.47063MaRDI QIDQ6106808

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Publication date: 3 July 2023

Full work available at URL: http://www.math.nthu.edu.tw/~amen/2022/AMEN-201122.pdf

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zbMATH Keywords

error boundslocal convergence\(m\)-accretive mappingsmodified Chebyshev's iterative method

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Cites Work

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• Regularization methods for nonlinear ill-posed problems with accretive operators
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• An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems
• Extended Newton-type iteration for nonlinear ill-posed equations in Banach space
• A modified Chebyshev's iterative method with at least sixth order of convergence
• 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
• Local convergence of an at least sixth-order method in Banach spaces
• Nonlinear Ill-posed Problems of Monotone Type
• Convergence and Applications of Newton-type Iterations
• On the method of Lavrentiev regularization for nonlinear ill-posed problems

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