A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

Polynomial optimization concerns the problem of finding global minima or maxima of multivariate polynomial functions subject to polynomial constraints. Such problems are inherently nonconvex and often ...

Polynomial theory underpins a vast array of problems in modern combinatorics, providing tools to encode, manipulate and extract information from sequences and discrete structures. Central to this area ...