5 papers
A Block-Activated Decomposition Algorithm for Multi-Stage Stochastic Variational Inequalities
Minh N. Bùi
We develop a block-activated decomposition algorithm for multi-stage stochastic variational inequalities with nonanticipativity constraints. The algorithm features two computationa…
Convex Analysis in Spectral Decomposition Systems
Hòa T. Bùi, Minh N. Bùi, Christian Clason
This work is concerned with the convex analysis of functions defined on (not necessarily finite-dimensional) Hilbert spaces whose values depend solely on a certain ``spectrum'' of…
Variational Analysis in Spectral Decomposition Systems
Hòa T. Bùi, Minh N. Bùi, Christian Clason
This work is concerned with variational analysis of so-called spectral functions and spectral sets of matrices that only depend on eigenvalues of the matrix. Based on our previous…
On a Lemma by Brézis and Haraux
Minh N. Bùi
We propose several applications of an often overlooked part of the 1976 paper by Brézis and Haraux, in which the Brézis--Haraux theorem was established. Our results unify and ext…
Interchange Rules for Integral Functions
Minh N. Bùi, Patrick L. Combettes
We first present an abstract principle for the interchange of infimization and integration over spaces of mappings taking values in topological spaces. New conditions on the underl…