On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems

DOI10.3233/ASY-211678OpenAlexW3135845849MaRDI QIDQ5029373

Noè Angelo Caruso, Alessandro Michelangeli, Paolo Novati

Publication date: 14 February 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08195

zbMATH Keywords

GMRESbounded linear operatorsill-posed problemsconjugate gradientKrylov subspaceslinear inverse problemsLSQRinfinite-dimensional Hilbert spaceKrylov solutionorthonormal basis discretisation

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items

Krylov solvability under perturbations of abstract inverse linear problems

Uses Software

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