3 papers
math.NA2026
A polynomial dimension-dependence analysis of Bramble--Pasciak--Xu preconditioners
Boou Jiang, Jongho Park, Jinchao Xu
We investigate the dimension dependence of Bramble--Pasciak--Xu (BPX) preconditioners for high-dimensional partial differential equations and establish that the condition numbers o…
math.OC2026
Randomized subspace correction methods for convex optimization
Boou Jiang, Jongho Park, Jinchao Xu
This paper introduces an abstract framework for randomized subspace correction methods for convex optimization, which unifies and generalizes a broad class of existing algorithms,…
math.OC2025
Subspace correction as a general framework for convex optimization algorithms
Boou Jiang, Jongho Park, Jinchao Xu
This paper shows that subspace correction methods provide a common algorithmic and theoretical foundation for several classes of convex optimization algorithms, including operator…