56 citations · 89 across the 15 of their papers we have counts for
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math.OC2019★ 10 cited
First order optimization methods based on Hessian-driven Nesterov accelerated gradient flow
Long Chen, Hao Luo
A novel dynamical inertial Newton system, which is called Hessian-driven Nesterov accelerated gradient (H-NAG) flow is proposed. Convergence of the continuous trajectory are establ…
math.OC2019★ 56 cited
From differential equation solvers to accelerated first-order methods for convex optimization
Hao Luo, Long Chen
Convergence analysis of accelerated first-order methods for convex optimization problems are presented from the point of view of ordinary differential equation solvers. A new dynam…
math.NA2019★ 1 cited
Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data
Hao Luo, Binjie Li, Xiaoping Xie
This paper analyzes the convergence of a Petrov-Galerkin method for time fractional wave problems with nonsmooth data. Well-posedness and regularity of the weak solution to the tim…