Modified Newton-type processes generating Fejér approximations of regularized solutions to nonlinear equations

DOI10.1134/S0081543814020138zbMath1305.65148OpenAlexW2068892283MaRDI QIDQ483417

Vladimir V. Vasin

Publication date: 17 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814020138

zbMATH Keywords

convergencenumerical exampleerror estimateGauss-Newton-type methodsFejér approximationinverse gravimetry problemLavrent'ev's schememodified Newton-type methodnonlinear irregular operator equationrregularizationtwo-stage algorithm

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (4)

Convergence analysis of the adjoint ensemble method in inverse source problems for advection-diffusion-reaction models with image-type measurements ⋮ Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators ⋮ Modified steepest descent method for nonlinear irregular operator equations ⋮ Two-stage method of construction of regularizing algorithms for nonlinear ill-posed problems

Cites Work

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• On the regularization of singular systems of linear algebraic equations by shifts
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• 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 algorithm based on the newton-kantorovich method for solving variational inequalities
• Iterative methods for solving ill-posed problems with a priori information in Hilbert spaces
• The application of the method of Fejer approximations to the solution of problems of convex programming with non-smooth constraints
• The Relaxation Method for Linear Inequalities

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