T. Tô

activity

20162026

most citedA viscosity approach to the Dirichlet problem for degenerate complex Hessian type equations

20 citations · 50 across the 15 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.OC2020★ 2 cited

A fast and simple modification of Newton's method helping to avoid saddle points

Tuyen Trung Truong, Tat Dat To, Tuan Hang Nguyen +3

We propose in this paper New Q-Newton's method. The update rule is very simple conceptually, for example $x_{n + 1} = x_{n} - w_{n}$ where $w_{n} = p r_{A_{n}, +} (v_{n}) - p r_{A_{n}, -} (v_{n})$ , with $A_n=\n…

math.CV2020

Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds

Chinh H. Lu, Trong-Thuc Phung, Tât-Dat Tô

Let $(X, ω)$ be a compact Hermitian manifold. We establish a stability result for solutions to complex Monge-Ampère equations with right-hand side in $L^{p}$ , $p > 1$ . Using this we pro…

math.DG2020★ 1 cited

Convergence of the Hesse-Koszul flow on compact Hessian manifolds

Stéphane Puechmorel, Tat Dat Tô

We study the long time behavior of the Hesse-Koszul flow on compact Hessian manifolds. When the first affine Chern class is negative, we prove that the flow converges to the unique…