George, S.M, M.Gopal, M.Godavarma, C.Argyros, I.K.2026-02-032025Journal of Complexity, 2025, 87, , pp. -0885064Xhttps://doi.org/10.1016/j.jco.2024.101921https://idr.nitk.ac.in/handle/123456789/20343In this paper, we propose a procedure to obtain an iterative method that increases its convergence order from p to 5p for solving nonlinear systems. Our analysis is given in more general Banach space settings and uses assumptions on the derivative of the involved operator only up to order max?{k,2}. Here, k is the order of the highest derivative used in the convergence analysis of the iterative method with convergence order p. A particular case of our analysis includes an existing fifth-order method and improves its applicability to more problems than the problems covered by the method's analysis in earlier study. © 2024Iterative methodsNonlinear equationsConvergence analysisConvergence orderFrechet derivativeHigher derivativesMethod analysisNon-linear equationsOrder of convergenceBanach spaces