The relation between the weight factor and the number of steps in a projection

Abstract

This paper gives an implementation of a projection algorithm for solving the convex feasibility problem. We analyze the influence of the weight factor from the projection algorithm on the total number of steps needed to obtain a solution of a convex feasibility problem. We solve a linear system of inequations using a projection algorithm and we determine how the weight factor influence the total number of iterations calculated until the system solution is obtain.

2000 Mathematics Subject Classification. Primary 39B12; Secondary 46A03.

Key words and phrases. Mann-type iteration, convex feasibility problem, weak and strong convergence, projection methods.