3 papers
math.AC2026
Small Resultant Systems via Linear Combinations
M. Levent DoÄan, Elias Tsigaridas, Zafeirakis Zafeirakopoulos
For a system of homogeneous polynomials of degree in variables, say , we consider the problem of constructing resultant systems. A resultant system is a f…
cs.CC2026
Strassen's support functionals coincide with the quantum functionals
Keiya Sakabe, Mahmut Levent DoÄan, Michael Walter
Strassen's asymptotic spectrum offers a framework for analyzing the complexity of tensors. It has found applications in diverse areas, from computer science to additive combinatori…
math.OC2025
Optimal Preconditioning is a Geodesically Convex Optimization Problem
M. Levent DoÄan, Alperen Ergür, Elias Tsigaridas
We introduce a unified framework for computing approximately-optimal preconditioners for solving linear and non-linear systems of equations. We demonstrate that the condition numbe…