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Weaker conditions for subdifferential calculus of convex functions
(Elsevier, 2016)
In this paper we establish new rules for the calculus of the subdifferential mapping of the sum of two convex functions. Our results are established under conditions which are at an intermediate level of generality among ...
From convex feasibility to convex constrained optimization using block action projection methods and underrelaxation
(Wiley-blackwellMaldenEUA, 2009)
Jensen-type inequalities for m-convex functions
(2022)
Inequalities play an important role in pure and applied mathematics. In particular, Jensen’s inequality, one of the most famous inequalities, plays the main role in the study of the existence and uniqueness of initial and ...
Differentially Private Stochastic Optimization: New Results in Convex and Non-Convex Settings
(2021)
We study differentially private stochastic optimization in convex and non-convex settings. For the convex case, we focus on the family of non-smooth generalized linear losses (GLLs). Our algorithm for the $\ell_2$ setting ...
On Convex Functions and the Finite Element Method
(Society for Industrial and Applied Mathematics, 2009-12)
Many problems of theoretical and practical interest involve finding a convex or concave function.For instance, optimization problems such as finding the projection on the convex functions in $H^k(Omega)$, or some problems ...
A pair of matrices sharing common Lyapunov solutions - A closer look
(Elsevier Science IncNew YorkEUA, 2003)
Fejér type inequalities for m-convex functionsDesigualdad del tipo Fejér para funciones m-convexas
(Universidad Centroccidental Lisandro Alvarado, 2018)
Mixed-integer convex model for VAr expansion planning
(Ieee, 2014-01-01)
This paper presents a mixed-integer convex-optimization-based approach for optimum investment reactive power sources in transmission systems. Unlike some convex-optimization techniques for the reactive power planning ...
Mixed-integer convex model for VAr expansion planning
(2014-01-01)
This paper presents a mixed-integer convex-optimization-based approach for optimum investment reactive power sources in transmission systems. Unlike some convex-optimization techniques for the reactive power planning ...