A homotopy-projection method for the parameter estimation problems

DOI10.1080/17415970701228204zbMath1258.65095OpenAlexW2060034145MaRDI QIDQ4908299

Y. Liu, Yi-Xin Dou, Bo Han

Publication date: 5 March 2013

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970701228204

zbMATH Keywords

Tikhonov regularizationparameter estimation problemhomotopy-projection method

Mathematics Subject Classification ID

Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (2)

A class of homotopy with regularization for nonlinear ill-posed problems in Hilbert space ⋮ An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation

Uses Software

• TIGRA

Cites Work

• Globally convergent homotopy methods: A tutorial
• A widely convergent method for determining the distributed parameters of the elliptical equation
• A modified Landweber iteration for solving parameter estimation problems
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
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• Well posedness and convergence of some regularisation methods for non-linear ill posed problems
• A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
• Fast Seismic Ray Tracing
• 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 homotopy method for the inversion of a two-dimensional acoustic wave equation
• A modified landweber method for inverse problems
• Factors influencing the ill-posedness of nonlinear problems
• Some Newton-type methods for the regularization of nonlinear ill-posed problems
• TIGRA an iterative algorithm for regularizing nonlinear ill-posed problems
• Numerical Solution of Inverse Scattering Problems with Multi-experimental Limited Aperture Data
• A convergence analysis of a method of steepest descent and a two–step algorothm for nonlinear ill–posed problems
• Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions

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