Newton-Kantorovich Method and Its Global Convergence

By Boris Polyak. 2006

50 citations recorded by the source corpus.

Subfields: Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5f7092c7794209cee4dbaeba517067b89b962c3f

How researchers see this paper

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In Mathematical Physics

1. Sai Praneeth Karimireddy
2. Martin Jaggi
3. Sebastian U. Stich
4. Peter Richtárik
5. Ahmed Khaled

In Numerical Analysis

1. Sebastian U. Stich
2. Martin Jaggi
3. Sai Praneeth Karimireddy
4. Guanghui Lan
5. Sebastian Pokutta
6. Alejandro Carderera
7. Simon Lacoste-Julien
8. Elad Hazan

Citations in the corpus

• Global linear convergence of Newton's method without strong-convexity or Lipschitz gradients (2018, background): “Otherwise, global convergence results of secondorder algorithms were known when f(x) has both strong-convexity and Lipschitz gradients ([22, 28]), or by solving cubic subproblems ([9, 24, 27]).”