dynamic string-averaging – Optimization Online

Convergence and Perturbation Resilience of Dynamic String-Averaging Projection Methods

Published: 2012/06/01

Biomedical Applications, Convex Optimization, Parallel Algorithms dynamic string-averaging, fixed point, hilbert space, metric projection, nonexpansive operator, perturbation resilience, projection methods, superiorization method, variable strings, variable weights

We consider the convex feasibility problem (CFP) in Hilbert space and concentrate on the study of string-averaging projection (SAP) methods for the CFP, analyzing their convergence and their perturbation resilience. In the past, SAP methods were formulated with a single predetermined set of strings and a single predetermined set of weights. Here we extend the … Read more