An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints

DOI10.1007/s00211-014-0629-xzbMath1317.65133arXiv1206.3706OpenAlexW1993774250MaRDI QIDQ2514242

Maarten V. de Hoop, Otmar Scherzer, Lingyun Qiu

Publication date: 3 February 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3706

zbMATH Keywords

duality mappingBanach spacenonlinear operator equationdiscrepancy principleill-posed problemBregman distancenonlinear inverse problemmulti-level algorithm\( p \)-convex Banach space\( q \)-smooth Banach spaceprojected steepest descent method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

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