Modified minimal error method for nonlinear ill-posed problems

DOI10.1515/cmam-2017-0024zbMath1453.65123OpenAlexW2740234951MaRDI QIDQ1642866

M. Sabari, Santhosh George

Publication date: 15 June 2018

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2017-0024

zbMATH Keywords

nonlinear ill-posed problemdiscrepancy principleregularization methodminimal error method

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Uses Software

• TIGRA

Cites Work

• Iterative regularization methods for nonlinear ill-posed problems
• Iterative solution methods for inconsistent linear equations with nonself-adjoint operators
• An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems
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• A convergence rate result for a steepest descent method and a minimal error method for the solution of nonlinear ill-posed problems
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• Inverse free iterative methods for nonlinear ill-posed operator equations
• Regularization methods for the stable solution of inverse problems
• A derivative-free iterative method for nonlinear ill-posed equations with monotone operators
• 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
• Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation
• On convergence of regularized modified Newton's method for nonlinear ill-posed problems
• Expanding the applicability of Tikhonov's regularization and iterative approximation for ill-posed problems
• On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• Tikhonov regularisation for non-linear ill-posed problems: optimal convergence rates and finite-dimensional approximation
• A modified landweber method for inverse problems
• Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems
• TIGRA an iterative algorithm for regularizing nonlinear ill-posed problems

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