Adaptive Newton-CG methods with global and local analysis for unconstrained optimization with Hölder continuous Hessian

Ziyang Zeng, Junyu Zhang, Chuan He

In this paper, we study Newton-conjugate gradient (Newton-CG) methods for minimizing a nonconvex function $f$ whose Hessian is $(H_f,\nu )$-Hölder continuous with modulus $H_f>0$ and…