An iterative regularization method for ill-posed Hammerstein type operator equation

DOI10.1515/JIIP.2009.049zbMath1190.65092MaRDI QIDQ5187988

M. Kunhanandan, Santhosh George

Publication date: 10 March 2010

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

zbMATH Keywords

Hilbert spacesiterative regularizationadaptive parameter choicenonlinear ill-posed operator equationsHammerstein type equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Nonlinear ill-posed problems (47J06) 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)

Related Items

Cubic convergence order yielding iterative regularization methods for ill-posed Hammerstein type operator equations ⋮ Two-step Newton-Tikhonov method for Hammerstein-type equations: finite-dimensional realization ⋮ Expanding the applicability of a two step Newton-type projection method for ill-posed problems ⋮ A two step Newton type iteration for ill-posed Hammerstein type operator equations in Hilbert scales ⋮ Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations ⋮ Derivative free regularization method for nonlinear ill-posed equations in Hilbert scales

Uses Software

• KELLEY

Cites Work

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