Numerical nonlinear algebra is a computational paradigm that uses numerical analysis to
study polynomial equations. Its origins were methods to solve systems of polynomial …

The generalized Nash equilibrium problem (GNEP) is a kind of game to find strategies for a
group of players such that each player's objective function is optimized. Solutions for GNEPs …

We introduce the concept of monodromy coordinates for representing solutions to large
polynomial systems. Representing solutions this way provides a time-memory trade-off in a …

When considering applications involving real-world data, often errors exist from
measurement imprecision or prior numerical computations. In the context of Bayesian …

We implement a real polyhedral homotopy method using three functions. The first function
provides a certificate that our real polyhedral homotopy is applicable to a given system; the …

We investigate how the coefficients of a sparse polynomial system influence the sum, or the
trace, of its solutions. We discuss an extension of the classical trace test in numerical …