131 citations · 192 across the 29 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.OC2018★ 2 cited
A family of spectral gradient methods for optimization
Yu-Hong Dai, Yakui Huang, Xin-Wei Liu
We propose a family of spectral gradient methods, whose stepsize is determined by a convex combination of the long Barzilai-Borwein (BB) stepsize and the short BB stepsize. Each me…
math.OC2018
A primal-dual interior-point relaxation method for nonlinear programs
Xin-Wei Liu, Yu-Hong Dai
We prove that the classic logarithmic barrier problem is equivalent to a particular logarithmic barrier positive relaxation problem with barrier and scaling parameters. Based on th…
math.OC2018
A primal-dual interior-point method capable of rapidly detecting infeasibility for nonlinear programs
Yu-Hong Dai, Xin-Wei Liu, Jie Sun
With the help of a logarithmic barrier augmented Lagrangian function, we can obtain closed-form solutions of slack variables of logarithmic-barrier problems of nonlinear programs.…