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 ...

SIAM Journal on Numerical Analysis, Vol. 30, No. 1 (Feb., 1993), pp. 286-303 (18 pages) Dynamic iteration or, more popularly, waveform relaxation has received a great deal of attention as an efficient ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

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 ...

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 ...