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N. Doikov

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Preprint Aug 2026

Primal Acceleration of Newton's Method

A new direct accelerated Newton method for minimizing convex functions with Lipschitz continuous Hessian that achieves the global convergence rate of $O(1/k^3)$ in terms of the functional residual, the first second-order method for this problem class attaining this rate.

N. Doikov · 0 citations