Results 321 to 330 of about 22,853,242 (381)
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Fundamentals of Convex Analysis
2001International ...
Hiriart-Urruty, Jean-Baptiste +1 more
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Fourier Analysis and Convexity
2004Beck, J; Berestein, C; Chen, W; Green, B; Groemer, H; Koldobsky, A; Kolountzakis, MN; Magyar, A; Podkorytov, A; Rubin, B; Ryabogin, D; Tao, T; Travaglini, G; Zvavitch ...
Brandolini, L +3 more
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Convexity in complex analysis [PDF]
Banach Center Publications, 1995 Convexity is the key concept of functional analysis, but apart from some notable exceptions, it has played a relatively minor role in several complex variables theory. The work of Lempert has focused attention on convex domains, and in these two lectures I will present examples involving invariant metrics in complex analysis where convexity, whether ...
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1993
In classical real analysis, the gradient of a differentiable function f : ℝn → ℝ. plays a key role - to say the least. Considering this gradient as a mapping x ↦ s(x) = ∇f(x) from (some subset X of) ℝn to (some subset S of) ℝn, an interesting object is then its inverse: to a given s ∈ S, associate the x ∈ X such that s = ∇f(x).
Claude Lemaréchal +1 more
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In classical real analysis, the gradient of a differentiable function f : ℝn → ℝ. plays a key role - to say the least. Considering this gradient as a mapping x ↦ s(x) = ∇f(x) from (some subset X of) ℝn to (some subset S of) ℝn, an interesting object is then its inverse: to a given s ∈ S, associate the x ∈ X such that s = ∇f(x).
Claude Lemaréchal +1 more
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Journal of Soviet Mathematics, 1984
The article focuses on subdifferential calculus. A discussion of sublinear operators is followed by convex operators and finally by general nonlinear operators and applications to extremal problems.
Anatoly G. Kusraev, Semen S. Kutateladze
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The article focuses on subdifferential calculus. A discussion of sublinear operators is followed by convex operators and finally by general nonlinear operators and applications to extremal problems.
Anatoly G. Kusraev, Semen S. Kutateladze
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Lectures on modern convex optimization - analysis, algorithms, and engineering applications
MPS-SIAM series on optimization, 2001This is a book devoted to well-structured and thus efficiently solvable convex optimization problems, with emphasis on conic quadratic and semidefinite programming.
A. Ben-Tal +1 more
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, 2016
This study is concerned with stability analysis for Takagi–Sugeno (T–S) fuzzy systems with time-varying delay. By applying the idea of scalar function and augmented vectors, dealing with the positivity of a functional, a novel simple Lyapunov–Krasovskii ...
Ling Huang, Xuhuan Xie, Chong Tan
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This study is concerned with stability analysis for Takagi–Sugeno (T–S) fuzzy systems with time-varying delay. By applying the idea of scalar function and augmented vectors, dealing with the positivity of a functional, a novel simple Lyapunov–Krasovskii ...
Ling Huang, Xuhuan Xie, Chong Tan
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A convex analysis approach for convex multiplicative programming
Journal of Global Optimization, 2007Global optimization problems involving the minimization of a product of convex functions on a convex set are addressed in this paper. Elements of convex analysis are used to obtain a suitable representation of the convex multiplicative problem in the outcome space, where its global solution is reduced to the solution of a sequence of quasiconcave ...
Rúbia M. Oliveira, Paulo Ferreira
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Convex Analysis and Optimization in Hadamard Spaces
, 2014This book gives a first systematic account on the subject of convex analysis and optimization in Hadamard spaces. It is primarily aimed at both graduate students and researchers in analysis and optimization.
M. Bacák
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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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