10 citations · 24 across the 10 of their papers we have counts for
11 papers
A mechanism of three-dimensional quadratic termination for the gradient method with applications
Yakui Huang, Yu-Hong Dai, Xin-Wei Liu
Recent studies show that the two-dimensional quadratic termination property has great potential in improving performance of the gradient method. However, it is not clear whether hi…
A gradient method exploiting the two dimensional quadratic termination property
Xinrui Li, Yakui Huang
The quadratic termination property is important to the efficiency of gradient methods. We consider equipping a family of gradient methods, where the stepsize is given by the ratio…
A primal-dual majorization-minimization method for large-scale linear programs
Xin-Wei Liu, Yu-Hong Dai, Ya-Kui Huang
We present a primal-dual majorization-minimization method for solving large-scale linear programs. A smooth barrier augmented Lagrangian (SBAL) function with strict convexity for t…
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints
Xin-Wei Liu, Yu-Hong Dai, Ya-Kui Huang +1
We introduce a twice differentiable augmented Lagrangian for nonlinear optimization with general inequality constraints and show that a strict local minimizer of the original probl…
Equipping Barzilai-Borwein method with two dimensional quadratic termination property
Yakui Huang, Yu-Hong Dai, Xin-Wei Liu
A novel gradient stepsize is derived at the motivation of equipping the Barzilai-Borwein (BB) method with two dimensional quadratic termination property. A remarkable feature of th…
A primal-dual interior-point relaxation method with global and rapidly local convergence for nonlinear programs
Xin-Wei Liu, Yu-Hong Dai, Ya-Kui Huang
Based on solving an equivalent parametric equality constrained mini-max problem of the classic logarithmic-barrier subproblem, we present a novel primal-dual interior-point relaxat…
On the acceleration of the Barzilai-Borwein method
Yakui Huang, Yu-Hong Dai, Xin-Wei Liu +1
The Barzilai-Borwein (BB) gradient method is efficient for solving large-scale unconstrained problems to the modest accuracy and has a great advantage of being easily extended to s…
On the asymptotic convergence and acceleration of gradient methods
Yakui Huang, Yu-Hong Dai, Xin-Wei Liu +1
We consider the asymptotic behavior of a family of gradient methods, which include the steepest descent and minimal gradient methods as special instances. It is proved that each me…
Solving Heated Oil Pipeline Problems Via Mixed Integer Nonlinear Programming Approach
Muming Yang, Yakui Huang, Yu-Hong Dai +1
It is a crucial problem how to heat oil and save running cost for crude oil transport. This paper strictly formulates such a heated oil pipeline problem as a mixed integer nonlinea…
Gradient methods exploiting spectral properties
Yakui Huang, Yu-Hong Dai, Xin-Wei Liu +1
We propose a new stepsize for the gradient method. It is shown that this new stepsize will converge to the reciprocal of the largest eigenvalue of the Hessian, when Dai-Yang's asym…
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…