On sequential minimization of Tikhonov functionals in ill-posed problems with a priori information on solutions

DOI10.1515/JIIP.2011.019zbMath1280.47064OpenAlexW1987974711MaRDI QIDQ2874491

Mikhail Yu. Kokurin

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2011.019

zbMATH Keywords

global optimizationill-posed problemlocal strong convexitysource-type conditionthe Tikhonov functional

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (5)

Necessary and sufficient conditions for the polynomial convergence of the quasi-reversibility and finite-difference methods for an ill-posed Cauchy problem with exact data ⋮ On the global minimization of discretized residual functionals of conditionally well-posed inverse problems ⋮ Reduction of variational inequalities with irregular operators on a ball to regular operator equations ⋮ On the clustering of stationary points of Tikhonov's functional for conditionally well-posed inverse problems ⋮ Sourcewise representability conditions and power estimates of convergence rate in Tikhonov's scheme for solving ill-posed extremal problems

Cites Work

• Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations
• TIGRA an iterative algorithm for regularizing nonlinear ill-posed problems

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