Year: 2025
Type: article
Abstract: . This study examines, in the framework of variational regularization methods, a multipenalty regularization approach which builds upon the uniform penalty (UPEN) method, previously proposed by the authors for nuclear magnetic resonance data processing. The paper introduces two iterative methods, UpenMM and GUpenMM, formulated within the majorization-minimization framework. These methods are designed to identify appropriate regularization parameters and solutions for linear inverse problems utilizing multipenalty regularization. The paper demonstrates the convergence of these methods and illustrates their potential through numerical examples, showing the practical utility of pointwise regularization terms in solving various inverse problems.
DOI: 10.1137/23m1600943
Institution: University of Bologna
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4408415957