In this note, we present results on extrapolated iterative methods, especially the extrapolated successive overrelaxation (ESOR). We show that they converge even if the original iteration diverges ...

Given a sequence $\{x_n\}^\infty_{n=0}$ in a Banach space, it is well known that if there is a sequence $\{t_n\}^\infty_{n=0}$ such that $\|x_{n+1} - x_n\| \leqslant ...

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

A math computational method more than a century and a half old, thought of little use in the modern era of computers, could once again be a useful research tool, researchers say. Known as the Jacobi ...

What is widely considered in engineering circles as an elegant but otherwise useless mathematical strategy from the nineteenth century gets a makeover from a professor and graduate student pair from ...