Parallel iterative regularization methods for solving systems of ill-posed equations

DOI10.1016/j.amc.2009.02.045zbMath1170.65035OpenAlexW2020478885MaRDI QIDQ1026330

Pham Ky Anh, Cao Van Chung

Publication date: 24 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.02.045

zbMATH Keywords

convergenceiterative algorithmnumerical resultsparallel computationiterative regularization methodregularized solutionnonlinear ill-posed operator equationdemiclosed operatorLavrent'ev regularizationMonotone operatorsystem of linear first kind Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Parallel numerical computation (65Y05) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Systems of nonsingular linear integral equations (45F05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (7)

Parallel methods for regularizing systems of equations involving accretive operators ⋮ Parallel regularized Newton method for nonlinear ill-posed equations ⋮ Approximate solution for integral equations involving linear Toeplitz plus Hankel parts ⋮ Unnamed Item ⋮ Parallel Hybrid Methods for a Finite Family of Relatively Nonexpansive Mappings ⋮ Explicit extragradient-like method with regularization for variational inequalities ⋮ Parallel iteratively regularized Gauss–Newton method for systems of nonlinear ill-posed equations

Cites Work

• Iterative regularization methods for nonlinear ill-posed problems
• Regularization of nonlinear ill-posed variational inequalities and convergence rates
• Viscosity approximation methods for nonexpansive mappings
• A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations
• On Projection Algorithms for Solving Convex Feasibility Problems
• Convergence and regularity of trust region methods for nonlinear ill-posed inverse problems
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
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