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Convex Analysis

1995
This chapter discusses the elements of convex analysis which are very important in the study of optimization problems. In section 2.1 the fundamentals of convex sets are discussed. In section 2.2 the subject of convex and concave functions is presented, while in section 2.3 generalizations of convex and concave functions are outlined.
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Convexity Theorems in Harmonic Analysis

Journal of Lie Theory, 1991
Let \(G=KAN\) be an Iwasawa decomposition of a real semisimple Lie group \(G\) and \(L: G\to{\mathfrak a}={\mathcal L}(A)\) determined by \(g\in K \exp L(g)N\). Then Kostant's Convexity Theorem says that \(L(aK)=\text{conv}(W \log a)\) for \(a\in A\), where \(W\) is the Weyl group associated to \({\mathfrak g}\), \({\mathfrak a}\) and conv denotes the ...
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Preliminaries: Convex Analysis and Convex Programming

2001
In this chapter, we give some definitions and results connected with convex analysis, convex programming, and Lagrangian duality. In Part Two, these concepts and results are utilized in developing suitable optimality conditions and numerical methods for solving some convex problems.
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Employing convex shape absorber for enhancing the performance of solar still desalination system

Journal of Energy Storage, 2022
Habib Ben Bacha, Z M Omara, M M Younes
exaly  

Convex Analysis

2022
Indu Solomon, Uttam Kumar
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Convex Analysis

2021
Vladimir A. Bushenkov, Georgi V. Smirnov
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Three-way convex systems and three-way fuzzy convex systems

Information Sciences, 2020
Hai-Long Yang, Shenggang Li
exaly  

The quickhull algorithm for convex hulls

ACM Transactions on Mathematical Software, 1996
David P Dobkin
exaly  

Convex Analysis

2000
Jonathan M. Borwein, Adrian S. Lewis
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Subcategories of the category of L-convex spaces

Fuzzy Sets and Systems, 2017
Bin Pang, Fu-Gui Shi
exaly  

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