Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind
From MaRDI portal
Publication:326268
zbMath1358.47008MaRDI QIDQ326268
Nikolay Aleksandrovich Sidorov, Denis Nikolaevich Sidorov, Il'dar Rinatovich Muftahov
Publication date: 12 October 2016
Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)
Full work available at URL: http://isu.ru/journal/downloadArticle?article=_500c804c65fc484182f096512a693366&lang=rus
perturbation theoryregularizationinverse problemsBanach-Steinhaus theoremexpectation\(\delta\)-approximationregularizing equationstable differentiation
Related Items
Lavrentiev regularization of integral equations of the first kind in the space of continuous functions ⋮ On the occasion of the 80th birthday of Professor N. A. Sidorov
Cites Work
- Heuristic regularization methods for numerical differentiation
- Solving the Hammerstein integral equation in the irregular case by successive approximations
- Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method
- Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method
- A certain approach to the problem of regularization on the basis of the perturbation of linear operators
- On small solutions of nonlinear equations with vector parameter in sectorial neighborhoods
- Best approximation of linear operators
- On stable numerical differentiation
- On Perturbation Method for the First Kind Equations: Regularization and Application
- Explicit and implicit parametrizations in the construction of branching solutions by iterative methods
- Numerical Solution of Volterra Integral Equations of the First Kind with Piecewise Continuous Kernel
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
