Matthew E. Niemerg

A Network Topology Dependent Upper Bound on the Number of Equilibria of the Kuramoto Model pdf

Dhagash Mehta, Tianran Chen, Matthew E. Niemerg, 2016, ArXiv.

Using Monodromy to Avoid High Precision in Homotopy Continuation

Daniel J. Bates, Matthew E. Niemerg, 2014, Math. Comput. Sci..

Decoupling Highly Structured Polynomial Systems

Andrew J. Newell, Daniel J. Bates, Matthew E. Niemerg, 2015, ACCA.

Three Formulations of the Kuramoto Model as a System of Polynomial Equations

Jakub Marecek, Dhagash Mehta, Tianran Chen, 2016, 2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

BertiniLab: A MATLAB interface for solving systems of polynomial equations

Andrew J. Newell, Daniel J. Bates, Matthew E. Niemerg, 2015, Numerical Algorithms.

Investigating the Maximum Number of Real Solutions to the Power Flow Equations: Analysis of Lossless Four-Bus Systems pdf

Jonathan D. Hauenstein, Daniel K. Molzahn, Dhagash Mehta, 2016, ArXiv.

Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials

Frank Sottile, Jonathan D. Hauenstein, Daniel J. Bates, 2015, Numerical Algorithms.

Toward topologically based upper bounds on the number of power flow solutions

Daniel K. Molzahn, Dhagash Mehta, Matthew E. Niemerg, 2015, 2016 American Control Conference (ACC).