A new step size rule for the superiorization method and its application in computerized tomography

In this paper, we consider a regularized least squares problem subject to convex constraints. Our algorithm is based on the superiorization technique, equipped with a new step size rule which uses subgradient projections. The superiorization method is a two-step method where one step reduces the val...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 90; no. 3; pp. 1253 - 1277
Main Authors:	Nikazad, T., Abbasi, M., Afzalipour, L., Elfving, T.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.07.2022 Springer Nature B.V
Subjects:	Algebra Algorithms Computed tomography Computer Science Conjugate gradient method Convergence Iterative methods Least squares method Numeric Computing Numerical Analysis Original Paper Regularization Theory of Computation Tomography Strictly quasi-nonexpansive operator Convex feasibility problem Computed tomography 65F10 Convex optimization Sequential block method Perturbation resilient iterative method 47J25 Superiorization 47H14
ISSN:	1017-1398, 1572-9265, 1572-9265
Online Access:	Get full text
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