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math.OC2025
Optimal Preconditioning is a Geodesically Convex Optimization Problem
M. Levent Doğan, 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…
math.OC2016★ 2 cited
Approximating Nonnegative Polynomials via Spectral Sparsification
Alperen A. Ergür
We study polyhedral approximations to the cone of nonnegative polynomials. We show that any constant ratio polyhedral approximation to the cone of nonnegative degree forms in…