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 ...

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 ...

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 ...

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...

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 ...