On broyden's method for the regularization of nonlinear ill-posed problems
DOI10.1080/01630569808816860zbMath0914.65066OpenAlexW2041983486MaRDI QIDQ4221448
Publication date: 7 June 1999
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630569808816860
convergencenumerical testsHilbert spacesnonlinear ill-posed problemsstopping rulequasi-Newton methodBroyden's methoditerative regularization methods
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Related Items (10)
Cites Work
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- Convergence of Newton-like methods for singular operator equations using outer inverses
- A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Broyden's method in Hilbert space
- Phase reconstruction via nonlinear least-squares
- Asymptotic Mesh Independence of Newton–Galerkin Methods via a Refined Mysovskii Theorem
- Quasi-Newton Methods, Motivation and Theory
- Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
- Some Newton-type methods for the regularization of nonlinear ill-posed problems
- Regularizing properties of a truncated newton-cg algorithm for nonlinear inverse problems
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