Newton–Lavrentiev regularization of ill-posed Hammerstein type operator equation

DOI10.1163/156939406778474550zbMath1109.47052OpenAlexW2049239260MaRDI QIDQ3410888

Santhosh George

Publication date: 16 November 2006

Full work available at URL: https://doi.org/10.1163/156939406778474550

zbMATH Keywords

Hilbert spaceill-posed problemHammerstein type equationnonlinear superposition operatortwo-step iterative process

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Nonlinear ill-posed problems (47J06) Inverse problems for integral equations (45Q05)

Related Items (6)

A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations ⋮ Two-step modified Newton method for nonlinear Lavrentiev regularization ⋮ A two step Newton type iteration for ill-posed Hammerstein type operator equations in Hilbert scales ⋮ A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations ⋮ Unnamed Item ⋮ Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations

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