17 citations · 18 across the 4 of their papers we have counts for
4 papers
On the p-regularized trust region subproblem
Yong Hsia, Ruey-Lin Sheu, Ya-xiang Yuan
The -regularized subproblem (p-RS) is a regularisation technique in computing a Newton-like step for unconstrained optimization, which globally minimizes a local quadratic appro…
On the Analysis of the Discretized Kohn-Sham Density Functional Theory
Xin Liu, Zaiwen Wen, Xiao Wang +2
In this paper, we study a few theoretical issues in the discretized Kohn-Sham (KS) density functional theory (DFT). The equivalence between either a local or global minimizer of th…
Penalty Methods with Stochastic Approximation for Stochastic Nonlinear Programming
Xiao Wang, Shiqian Ma, Ya-xiang Yuan
In this paper, we propose a class of penalty methods with stochastic approximation for solving stochastic nonlinear programming problems. We assume that only noisy gradients or fun…
On the Convergence of the Self-Consistent Field Iteration in Kohn-Sham Density Functional Theory
Xin Liu, Xiao Wang, Zaiwen Wen +1
It is well known that the self-consistent field (SCF) iteration for solving the Kohn-Sham (KS) equation often fails to converge, yet there is no clear explanation. In this paper, w…