{
  "id": 2917966,
  "title": "Primal Acceleration of Newton's Method",
  "url": "https://urgent.news/2026/08/21/primal-acceleration-of-newtons-method",
  "topic": "ai",
  "section": "AI",
  "published": "2026-08-21T17:59:37.000Z",
  "source": {
    "name": "arXiv cs.AI",
    "slug": "arxiv-cs-ai",
    "url": "https://arxiv.org/abs/2608.21359v1"
  },
  "original_language": "en",
  "account": null,
  "summary": "We develop a new direct accelerated Newton method for minimizing convex functions with Lipschitz continuous Hessian. The algorithm uses only primal variables and performs just one linear solve per iteration. With a simple predetermined choice of parameters, it achieves the global convergence rate of $O(1/k^3)$ in terms of the functional residual. To the best of our knowledge, this is the first…",
  "key_points": [],
  "editors_take": null,
  "illustration": null,
  "coverage": {
    "outlets": 1,
    "also_reported_by": []
  },
  "ai_generated": true,
  "disclaimer": "Summaries, key points and the editor’s take are written by software from other outlets’ reporting and may contain errors — always check the linked original."
}