Iterative regularization methods for ill-posed problems
Tomba, Ivan <1985>
Subject
MAT/08 Analisi numerica
Description
This Ph.D thesis focuses on iterative regularization methods for regularizing linear and nonlinear ill-posed problems. Regarding linear problems, three new stopping rules for the Conjugate Gradient method applied to the normal equations are proposed and tested in many numerical simulations, including some tomographic images reconstruction problems.
Regarding nonlinear problems, convergence and convergence rate results are provided for a Newton-type method with a modified version of Landweber iteration as an
inner iteration in a Banach space setting.
Tomba, Ivan (2013) Iterative regularization methods for ill-posed problems, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Matematica , 25 Ciclo. DOI 10.6092/unibo/amsdottorato/5588.