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Elements of Convex Analysis [PDF]

, 1985
The purpose of this chapter is to provide some notions and fundamental results of convex analysis which will be used throughout this book. Starting with the notion of convexity, some propositions on convex and lower semi-continuous functionals as well as on the minimization of functionals on convex sets are given.
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Analysis of Matrix-Convex Functions

Cybernetics and Systems Analysis, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. V. Ostapenko, S. N. Amirgalieva, V. V. Ostapenko   +2 more
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Discrete convex analysis

2000
In this chapter a theory of discrete optimization called discrete convex analysis will be introduced. For a comprehensive treatment we refer the reader to Stoer and Witzgall [227], Fujishige [96, Chapter IV], and Murota [179] [181]. Martinez-Legaz [165] seems to have been the first writer to apply the discrete convex analysis to the cooperative game ...
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Convex Analysis on the Hermitian Matrices

SIAM Journal on Optimization, 1996
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Convex Analysis

2022
Indu Solomon, Uttam Kumar
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Convexity and Variational Analysis

2013
The paper focuses on the interplay between methods of general variational analysis, on the one hand, and convex analysis, on the other (with a special emphasis on the efficiency of the latter), in treating problems that come from the general variational analysis when applied in substantial or virtual presence of convexity.
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A Touch of Convex Analysis

2016
This chapter can be conceived as a substantial course on convex analysis. But it appears here in view of its relationships with other subjects such as optimization and differential calculus. Convex functions have remarkable continuity and differentiability properties.
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Motion planning around obstacles with convex optimization

Science Robotics, 2023
Tobia Marcucci
exaly  

Concave-convex surface oxide layers over copper nanowires boost electrochemical nitrate-to-ammonia conversion

Chemical Engineering Journal, 2021
Hongjing Wang, Liang Wang, You Xu
exaly  

A flexible, ultra-highly sensitive and stable capacitive pressure sensor with convex microarrays for motion and health monitoring

Nano Energy, 2020
You-Gen Hu, Pengli Zhu, Rong Sun
exaly