Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

We survey optimization problems that involve the cardinality of variable vectors in
constraints or the objective function. We provide a unified viewpoint on the general problem …

This paper is devoted to the theoretical and numerical investigation of an augmented
Lagrangian method for the solution of optimization problems with geometric constraints …

We consider projection algorithms for solving (nonconvex) feasibility problems in Euclidean
spaces. Of special interest are the method of alternating projections (AP) and the Douglas …

The problem of finding a vector with the fewest nonzero elements that satisfies an
underdetermined system of linear equations is an NP-complete problem that is typically …

We develop a framework for quantitative convergence analysis of Picard iterations of
expansive set-valued fixed point map**s. There are two key components of the analysis …

Sparse logistic regression (SLR), which is widely used for classification and feature
selection in many fields, such as neural networks, deep learning, and bioinformatics, is the …

In this paper, we introduce and develop the theory of restricted normal cones which
generalize the classical Mordukhovich normal cone. We thoroughly study these objects from …

Recent Results on Douglas–Rachford Methods for Combinatorial Optimization Problems |
Journal of Optimization Theory and Applications Skip to main content SpringerLink Account …

In multivariate regression analysis, a coefficient matrix is used to relate multiple response
variables to regressor variables in a noisy linear system from given data. Optimization is a …