Results 21 to 30 of about 330,664 (214)
Multimodularity, Convexity, and Optimization Properties [PDF]
Mathematics of Operations Research, 2000 In this paper we investigate the properties of multimodular functions. In doing so we give elementary proofs for properties already established by Hajek and we generalize some of his results. In particular, we extend the relation between convexity and multimodularity to some convex subsets of ℤm. We also obtain general optimization results for average
Altman, Eitan +2 more
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Characterizations of the Solution Sets of Generalized Convex Fuzzy Optimization Problem
Open Mathematics, 2019 This paper provides some new characterizations of the solution sets for non-differentiable generalized convex fuzzy optimization problem. Firstly, we introduce some new generalized convex fuzzy functions and discuss the relationships among them. Secondly,
Chen Wang, Zhou Zhiang
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Journal of Inequalities and Applications, 2019 In this paper, we first introduce a new algorithm which involves projecting each iteration to solve a split feasibility problem with paramonotone equilibria and using unconstrained convex optimization.
Q. L. Dong +4 more
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Convex Optimization on Banach Spaces [PDF]
Foundations of Computational Mathematics, 2015 Greedy algorithms which use only function evaluations are applied to convex optimization in a general Banach space $X$. Along with algorithms that use exact evaluations, algorithms with approximate evaluations are treated. A priori upper bounds for the convergence rate of the proposed algorithms are given.
Ronald A. DeVore, Vladimir Temlyakov
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A Note on Optimality Conditions for DC Programs Involving Composite Functions
Abstract and Applied Analysis, 2014 By using the formula of the ε-subdifferential for the sum of a convex function with a composition of convex functions, some necessary and sufficient optimality conditions for a DC programming problem involving a composite function are obtained.
Xiang-Kai Sun, Hong-Yong Fu
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Distributed H∞ Method Design and Operation using Dis- tributed Computing [PDF]
ITM Web of Conferences, 2023 Control systems have two significant components: controllers and filters. Controllers are used to control the output while filters are used to estimate the internal state of a system from a series of noisy output measurements.
Shaheer Sanaul, P.B Jayaraj
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Communication complexity of convex optimization [PDF]
1986 25th IEEE Conference on Decision and Control, 1986 AbstractWe consider a situation where each of two processors has access to a different convex function φi, i = 1, 2, defined on a common bounded domain. The processors are to exchange a number of binary messages, according to some protocol, until they find a point in the domain at which φ1 + φ2 is minimized, within some prespecified accuracy ε.
Zhi-Quan Luo, John N. Tsitsiklis
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ROBOTIC MOTION PLANNING USING CONVEX OPTIMIZATION METHODS
Iraqi Journal for Computers and Informatics, 2019 Collision avoidance techniques tend to derive the robot away of the obstacles in minimal total travel distance. Most of the collision avoidance algorithms have trouble get stuck in a local minimum.
Thaker Nayl
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Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators
Journal of Mathematics, 2021 Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions.
Changyue Chen +2 more
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Hypothesis testing by convex optimization [PDF]
Electronic Journal of Statistics, 2015 We discuss a general approach to handling "multiple hypotheses" testing in the case when a particular hypothesis states that the vector of parameters identifying the distribution of observations belongs to a convex compact set associated with the hypothesis. With our approach, this problem reduces to testing the hypotheses pairwise.
Goldenshluger, Alexander +2 more
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