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 …

In view of the minimization of a nonsmooth nonconvex function f, we prove an abstract
convergence result for descent methods satisfying a sufficient-decrease assumption, and …

Variational Analysis of Regular Mappings Page 1 Springer Monographs in Mathematics
Variational Analysis of Regular Mappings Alexander D. Ioffe Theory and Applications Page 2 …

In this paper, we study the Kurdyka–Łojasiewicz (KL) exponent, an important quantity for
analyzing the convergence rate of first-order methods. Specifically, we develop various …

We study the convergence properties of an alternating proximal minimization algorithm for
nonconvex structured functions of the type: L (x, y)= f (x)+ Q (x, y)+ g (y), where f and g are …

This paper investigates the interference nulling capability of reconfigurable intelligent
surface (RIS) in a multiuser environment where multiple single-antenna transceivers …

We develop model-based methods for solving stochastic convex optimization problems,
introducing the approximate-proximal point, or aProx, family, which includes the stochastic …

We study the convergence of general descent methods applied to a lower semi-continuous
and nonconvex function, which satisfies the Kurdyka–Łojasiewicz inequality in a Hilbert …

We study randomized variants of two classical algorithms: coordinate descent for systems of
linear equations and iterated projections for systems of linear inequalities. Expanding on a …

Gridless direction of arrival (DOA) estimation is addressed for a 1-D non-uniform array
(NUA) of arbitrary geometry. Currently, gridless DOA estimation is solved via convex …