Convergence of the method of regularization for finding normal quasisolutions in problems with free phase and a completely continuous operator

DOI10.1007/s10958-023-06557-0OpenAlexW4384156172MaRDI QIDQ6175480

Yury P. Topolyuk

Publication date: 18 August 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06557-0

zbMATH Keywords

nonlinear operatormethod of regularizationquasisolutionsconvergence of methodproblems with free phasenormal quasisolution

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05)

Cites Work

• Computing quasisolutions of nonlinear inverse problems via efficient minimization of trust region problems
• Regularization methods in Banach spaces.
• Some application examples of minimization based formulations of inverse problems and their regularization
• Synthesis of Radiating Systems with Flat Aperture According to a Given Power Directivity Pattern. ІІ. Finding Solutions at the Bifurcation Points
• Optical Wavefront Reconstruction: Theory and Numerical Methods
• On phase correction in tomographic research
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