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 ...

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 ...