3 papers
math.AP2024
The Hadamard variational formula for Riesz capacity and its applications
Lu Zhang
In this paper, our focus lies on a fundamental geometric invariant known as Riesz capacity, which holds an essential position in potential theory. We establish the Hadamard variati…
math.OC2024
Nonlinear preconditioned primal-dual method for a class of structured minimax problems
Lu Zhang, Hongxia Wang, Hui Zhang
We propose and analyze a general framework called nonlinear preconditioned primal-dual with projection for solving nonconvex-nonconcave and non-smooth saddle-point problems. The fr…
stat.ME2023
Applications of Conjugate Gradient in Bayesian computation
Lu Zhang
Conjugate gradient is an efficient algorithm for solving large sparse linear systems. It has been utilized to accelerate the computation in Bayesian analysis for many large-scale p…