79 citations · 407 across the 53 of their papers we have counts for
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Adaptive strategies for solving parameterized systems using homotopy continuation
Jonathan D. Hauenstein, Margaret H. Regan
Three aspects of applying homotopy continuation, which is commonly used to solve parameterized systems of polynomial equations, are investigated. First, for parameterized systems w…
Polynomials and the exponent of matrix multiplication
Luca Chiantini, Jonathan D. Hauenstein, Christian Ikenmeyer +2
We define tensors, corresponding to cubic polynomials, which have the same exponent as the matrix multiplication tensor. In particular, we study the symmetrized matrix multipli…
Locating and counting equilibria of the Kuramoto model with rank one coupling
Owen Coss, Jonathan D. Hauenstein, Hoon Hong +1
The Kuramoto model describes synchronization behavior among coupled oscillators and enjoys successful application in a wide variety of fields. Many of these applications seek phase…