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Stabilization Problems with Constraints, 2021
Vladimir A. Bushenkov, Georgi V. Smirnov
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Vladimir A. Bushenkov, Georgi V. Smirnov
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Journal of Soviet Mathematics, 1984
Translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 19, 155-206 (Russian) (1982; Zbl 0516.46026).
Kusraev, A. G., Kutateladze, S. S.
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Translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 19, 155-206 (Russian) (1982; Zbl 0516.46026).
Kusraev, A. G., Kutateladze, S. S.
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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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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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Analysis of Matrix-Convex Functions
Cybernetics and Systems Analysis, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amirgalieva, S. N. +2 more
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Sbornik: Mathematics, 1996
Summary: Properties of strongly convex sets (that is, of sets that can be represented as intersections of balls of radius fixed for each particular set) are investigated. A connection between strongly convex sets and strongly convex functions is established.
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Summary: Properties of strongly convex sets (that is, of sets that can be represented as intersections of balls of radius fixed for each particular set) are investigated. A connection between strongly convex sets and strongly convex functions is established.
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Convex Functionals on Convex Sets and Convex Analysis
1985Over the last 20 years, parallel to the theory of monotone operators, a calculus for the investigation of convex functionals designated by convex analysis has emerged, which allows one to solve a number of problems in a simple way. To this calculus belong: (α) The subgradient ∂F (a generalization of the classical concept of derivative).
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Preliminaries: Convex Analysis and Convex Programming
2001In 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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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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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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