...Dongdong Ruan; Xiaofeng Wang Purpose The purpose of this paper is to study local and semilocal convergences of a fourth-order derivative-free iterative method in Banach spaces and its applications. Design/methodology/approach The local convergence and semilocal convergence of a fourth-order...

...Dongdong Ruan; Xiaofeng Wang; Yan Wang Purpose The purpose of this paper is to study local convergence and applications of a new seventh-order iterative method. Design/methodology/approach The order of convergence for the method is proved by using Taylor expansions. In addition, local...

...Raziyeh Erfanifar; Khosro Sayevand; Masoud Hajarian Purpose In this study, we present a novel parametric iterative method for computing the polar decomposition and determining the matrix sign function. Design/methodology/approach This method demonstrates exceptional efficiency, requiring only...

...Alamgir Khan; Javed Iqbal; Rasool Shah Purpose This study presents a two-step numerical iteration method specifically designed to solve absolute value equations. The proposed method is valuable and efficient for solving absolute value equations. Several numerical examples were taken to demonstrate...

...Masoud Hajarian Purpose – The linear matrix equations have wide applications in engineering, physics, economics and statistics. The purpose of this paper is to introduce iterative methods for solving the systems of linear matrix equations. Design/methodology/approach – According...

... joints. An iterative method, including a domain‐decomposition technique, is proposed to solve such quasi‐static problems in small perturbations. Two types of entities are introduced: sub‐structures and interfaces. A local and a global stage are successively carried out by an iterative algorithm until...