The role of Increasing the Number of Iterations for Numerical Methods upon Digital Image

Abstract

Due to its numerical procedure, an expected error occurred in applying the numerical algorithms. A challenging attempt toward using such approximation methods on digital image has been utilized here. Bisection, Newton Raphson, and secant methods are some numerical techniques which have been used here for certain considerations to test their evaluation upon a digital image through investigating the role of increasing the number of iterations each time. Results show that Bisection method is the best numerical technique than other used techniques in its approximated use upon an image with least and stable absolute and relative errors. Increasing the number of iterations didn't affect its numerical procedure while an alternative errors with a bell shape resulted in the case of Newton- Raphson and secant methods. Absolute error seems to be more sensitive estimator than relative one toward detecting the suitable number of iterations that caused a least significant error