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math.OC2025
Nonlinear constrained optimization of Schur test functions
Mikhail Anikushin, Andrey Romanov
We apply the iterative nonlinear programming method, previously proposed in our earlier work, to optimize Schur test functions and thereby provide refined upper bounds for the norm…
math.DS2025
Robust upper estimates for topological entropy via nonlinear constrained optimization over adapted metrics
Mikhail Anikushin, Andrey Romanov
We present an analytical-numerical method providing robust upper estimates for the topological entropy or, more generally, uniform volume growth exponents of differentiable mapping…