### 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.

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

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