10 citations · 13 across the 13 of their papers we have counts for
17 papers
On the equivalence of semidefinite programming and zero-sum semidefinite games
Jesse Elliott, Constantin Ickstadt, Thorsten Theobald +1
By results of Dantzig (1951) and Adler (2013), computing the optimal solutions of a linear program is equivalent to finding optimal strategies in zero-sum bimatrix games. Dantzig's…
Additive subgroups of a module that are saturated with respect to a subset of the ring
Jesse Elliott, Neil Epstein
Let be a subset of a ring , and let be an -module. We study the additive subgroups of such that, for all , if for some , then $x…
Bit complexity for computing one point in each connected component of a smooth real algebraic set
Jesse Elliott, Mark Giesbrecht, Eric Schost
We analyze the bit complexity of an algorithm for the computation of at least one point in each connected component of a smooth real algebraic set. This work is a continuation of o…
Asymptotic expansions of weighted prime power counting functions
Jesse Elliott
We prove several asymptotic continued fraction expansions of , , , , and related functions, where is the prime counti…
Group actions, power mean orbit size, and musical scales
Jesse Elliott
We provide an application of the theory of group actions to the study of musical scales. For any group , finite -set , and real number , we define the {\it -power di…
Harmonic numbers and the prime counting function
Jesse Elliott
We provide approximations to the prime counting function by various discretized versions of the logarithmic integral function, expressed solely in terms of the harmonic numbers. We…