Controllability and Accumulation of Errors Arising in a General Iteration Method

Authors : Faik Gürsoy, Abdul Rahim Khan, Kadri Doğan

Pages : 77-82

Doi:10.33401/fujma.812274

View : 22 | Download : 11

Publication Date : 2021-06-01

Article Type : Research

Abstract :In this paper, we propose and analyze a three-step general iteration method which is a special case of an iteration method proposed in (S. Thianwan and S. Suantai, Convergence criteria of a new three-step iteration with errors for nonexpansive nonself-mappings, Comput. Math. Appl. 52 (2006), 1107-1118). Here we intend to study directly the accumulation, estimation and control of random errors in the newly proposed general iteration method. We give conditions under which the accumulated-error in our iteration method is bounded and controllable in a permissible range.
Keywords : Error Analysis, Random Errors, TS iteration method