1 citations · 2 across the 5 of their papers we have counts for
6 papers
Counterexamples to Magnanini's conjecture concerning critical points of the torsion function
Parker Edwards, Erik Lundberg, Koushik Ramachandran
We construct planar simply-connected domains whose torsion function has an arbitrary prescribed number of local maxima while the distance to the boundary has only one local maximum…
On computing local monodromy and the numerical local irreducible decomposition
Parker B. Edwards, Jonathan D. Hauenstein
Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Following the paradigm of numeri…
Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based Path Planner
Parker B. Edwards, Aravind Baskar, Caroline Hills +2
The configuration manifolds of parallel manipulators exhibit more nonlinearity than serial manipulators. Qualitatively, they can be seen to possess extra folds. By projecting such…
Computing geometric feature sizes for algebraic manifolds
Sandra Di Rocco, Parker B. Edwards, David Eklund +2
We introduce numerical algebraic geometry methods for computing lower bounds on the reach, local feature size, and the weak feature size of the real part of an equidimensional and…
Certified evaluations of Hölder continuous functions at roots of polynomials
Parker B. Edwards, Jonathan D. Hauenstein, Clifford D. Smyth
Various methods can obtain certified estimates for roots of polynomials. Many applications in science and engineering additionally utilize the value of functions evaluated at roots…
Sampling real algebraic varieties for topological data analysis
Emilie Dufresne, Parker B. Edwards, Heather A. Harrington +1
Topological data analysis (TDA) provides a growing body of tools for computing geometric and topological information about spaces from a finite sample of points. We present a new a…