Universal linear approximations of solutions to nonlinear operator equations and their application

DOI10.1515/JIIP.1997.5.6.507zbMath0907.65052OpenAlexW1978890600MaRDI QIDQ4213184

Anatoly B. Bakushinsky

Publication date: 4 March 1999

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.1997.5.6.507

zbMATH Keywords

Hilbert spaceNewton iterationill-posed problemnonlinear operator equationsinverse scattering problemsBorn approximationpseudoinverse operatoruniversal linear approximation solutions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Ill-posed problems for PDEs (35R25) Inverse scattering problems in quantum theory (81U40) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for ill-posed problems for integral equations (65R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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