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 ...

We propose a method for reconstructing a probability density function (pdf) from a sample of an n-dimensional probability distribution. The method works by iteratively applying some simple ...

iterative algorithms; optimization; signal processing; medical imaging. iterative methods for solving large-scale systems of equations with constraints; image reconstruction from CAT and PET scan data ...

The enormous computing resources needed to train neural networks for artificial intelligence (AI) result in massive power consumption. Researchers have developed a method that is 100 times faster and ...