We provide convergence theorems for a fast iterative method to solve nonlinear operator equations in a Banach space. The same method under stronger conditions was found to be of order four, under ...

Matrix splitting iteration methods have emerged as potent tools in addressing complementarity problems, which frequently arise in optimisation, economics and engineering applications. These methods ...

Anderson acceleration is an optimisation technique designed to improve the convergence of fixed-point iterations, a common approach utilised in solving nonlinear equations. By blending current and ...

Considering the linear systems $Ax = b$, where the matrix $A$ is irreducible and diagonally dominant, we obtain bounds for the spectral radius of the $L_{r,\omega ...