computational algebra 1finite-time blow-up 1parameter landscapes 1phase space compactification 1polynomial ODEs 1
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math.NA2025
A Hidden Variable Resultant Method for the Polynomial Multiparameter Eigenvalue Problem
Emil Graf, Alex Townsend
We present a novel, global algorithm for solving polynomial multiparameter eigenvalue problems (PMEPs) by leveraging a hidden variable tensor Dixon resultant framework. Our method…
math.NA2024
Numerical Instability of Algebraic Rootfinding Methods
Emil Graf, Alex Townsend
We demonstrate that the most popular variants of all common algebraic multidimensional rootfinding algorithms are unstable by analyzing the conditioning of subproblems that are con…