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 ...

Algebraic curves and polynomial systems form a cornerstone of modern computational and theoretical mathematics. These structures are defined by polynomial equations and exhibit rich geometric and ...

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 ...

Finding the real solutions of a bivariate polynomial system is a central problem in robotics, computer modeling and graphics, computational geometry, and numerical optimization. We propose an ...

Ah, math. Take an easy problem we all studied in our teens, scale it up by just a couple of steps, and suddenly you’re facing something that has stumped generations of the world’s best mathematicians.

Let ${\mathrm{\sigma }}_{\mathrm{i}}({\mathrm{x}}_{1},\mathrm{.}\mathrm{.}\mathrm{.},\text{\hspace{0.17em}}{\mathrm{x}}_{\mathrm{n}})\text{\hspace{0.17em}}=\text ...