38 citations · 89 across the 29 of their papers we have counts for
4 papers · 2 filters
Linear optimization on varieties and Chern-Mather classes
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang +1
The linear optimization degree gives an algebraic measure of complexity of optimizing a linear objective function over an algebraic model. Geometrically, it can be interpreted as t…
Implementing real polyhedral homotopy
Kisun Lee, Julia Lindberg, Jose Israel Rodriguez
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; t…
-generation: solving systems of polynomials equation-by-equation
Timothy Duff, Anton Leykin, Jose Israel Rodriguez
We develop a new method that improves the efficiency of equation-by-equation algorithms for solving polynomial systems. Our method is based on a novel geometric construction, and r…
Logarithmic cotangent bundles, Chern-Mather classes, and the Huh-Sturmfels Involution conjecture
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang +1
Using compactifications in the logarithmic cotangent bundle, we obtain a formula for the Chern classes of the pushforward of Lagrangian cycles under an open embedding with normal c…