The field of polynomial systems occupies a central role in computational mathematics, where the intricate interplay between algebra, geometry, and computational complexity is evident. Research in this ...

This is a preview. Log in through your library . Abstract The line search strategy is crucial for an efficient unconstrained optimization algorithm. One of the reason why the Wolfe line searches is ...

Machine learning is revolutionizing fundamental science by tackling long-standing mathematical challenges. A key example is ...

A major advance reveals deep connections between the classes of problems that computers can — and can’t — possibly do. At first glance, the big news coming out of this summer’s conference on the ...

The most widely used technique for finding the largest or smallest values of a math function turns out to be a fundamentally difficult computational problem. Many aspects of modern applied research ...