13 citations · 19 across the 17 of their papers we have counts for
4 papers · 1 filter
Symmetric Hyperbolic Polynomials
Grigoriy Blekherman, Julia Lindberg, Kevin Shu
Hyperbolic polynomials have been of recent interest due to applications in a wide variety of fields. We seek to better understand these polynomials in the case when they are symmet…
The algebraic degree of sparse polynomial optimization
Julia Lindberg, Leonid Monin, Kemal Rose
We study a broad class of polynomial optimization problems whose constraints and objective functions exhibit sparsity patterns. We give two characterizations of the number of criti…
The symmetric geometric rank of symmetric tensors
Julia Lindberg, Pierpaola Santarsiero
Inspired by recent work of Kopparty-Moshkovitz-Zuiddam and motivated by problems in combinatorics and hypergraphs, we introduce the notion of the symmetric geometric rank of a symm…
A polyhedral homotopy algorithm for computing critical points of polynomial programs
Julia Lindberg, Leonid Monin, Kemal Rose
In this paper we propose a method that uses Lagrange multipliers and numerical algebraic geometry to find all critical points, and therefore globally solve, polynomial optimization…