[图书][B] Variational analysis and applications
BS Mordukhovich - 2018 - Springer
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 …
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Error bounds, quadratic growth, and linear convergence of proximal methods
D Drusvyatskiy, AS Lewis - Mathematics of Operations …, 2018 - pubsonline.informs.org
The proximal gradient algorithm for minimizing the sum of a smooth and nonsmooth convex
function often converges linearly even without strong convexity. One common reason is that …
function often converges linearly even without strong convexity. One common reason is that …
Optimal control of the sweeping process over polyhedral controlled sets
G Colombo, R Henrion, DH Nguyen… - Journal of Differential …, 2016 - Elsevier
The paper addresses a new class of optimal control problems governed by the dissipative
and discontinuous differential inclusion of the sweeping/Moreau process while using …
and discontinuous differential inclusion of the sweeping/Moreau process while using …
A collective neurodynamic penalty approach to nonconvex distributed constrained optimization
A nonconvex distributed optimization problem involving nonconvex objective functions and
inequality constraints within an undirected multi-agent network is considered. Each agent …
inequality constraints within an undirected multi-agent network is considered. Each agent …
Optimal control of a nonconvex perturbed sweeping process
TH Cao, BS Mordukhovich - Journal of Differential Equations, 2019 - Elsevier
The paper concerns optimal control of discontinuous differential inclusions of the normal
cone type governed by a generalized version of the Moreau sweeping process with control …
cone type governed by a generalized version of the Moreau sweeping process with control …
Variational and strong variational convexity in infinite-dimensional variational analysis
This paper is devoted to a systematic study and characterizations of the fundamental notions
of variational and strong variational convexity for lower semicontinuous functions. While …
of variational and strong variational convexity for lower semicontinuous functions. While …
Tilt stability, uniform quadratic growth, and strong metric regularity of the subdifferential
D Drusvyatskiy, AS Lewis - SIAM Journal on Optimization, 2013 - SIAM
Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential Page
1 Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. OPTIM. c …
1 Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. OPTIM. c …
Second-order growth, tilt stability, and metric regularity of the subdifferential
D Drusvyatskiy, BS Mordukhovich… - arXiv preprint arXiv …, 2013 - arxiv.org
This paper sheds new light on several interrelated topics of second-order variational
analysis, both in finite and infinite-dimensional settings. We establish new relationships …
analysis, both in finite and infinite-dimensional settings. We establish new relationships …
Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization
This paper proposes and justifies two globally convergent Newton-type methods to solve
unconstrained and constrained problems of nonsmooth optimization by using tools of …
unconstrained and constrained problems of nonsmooth optimization by using tools of …
New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors
In this paper we derive new fractional error bounds for polynomial systems with exponents
explicitly determined by the dimension of the underlying space and the number/degree of …
explicitly determined by the dimension of the underlying space and the number/degree of …