On duality theory for multiobjective semi-infinite fractional optimization model using higher order convexity [PDF]
RAIRO - Operations Research, 2021 In the article, a semi-infinite fractional optimization model having multiple objectives is first formulated. Due to the presence of support functions in each numerator and denominator with constraints, the model so constructed is also non-smooth. Further, three different types of dual modelsvizMond-Weir, Wolfe and Schaible are presented and then usual
Tamanna Yadav, Shiv Kumar Gupta
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Fracton topological order, generalized lattice gauge theory, and duality [PDF]
Physical Review B, 2016 9 pages, 4 figures; 8 pages of appendices, 3 ...
Vijay, Sagar, Haah, Jeongwan, Fu, Liang
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Dualities in all-order finite N = 1 gauge theories [PDF]
Nuclear Physics B, 1998 54 pages, latex, 2 ...
Andreas Karch +2 more
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Cauchy-Lipschitz theory for fractional multi-order dynamics: State-transition matrices, Duhamel formulas and duality theorems [PDF]
Differential and Integral Equations, 2018 The aim of the present paper is to contribute to the development of the study of Cauchy problems involving Riemann-Liouville and Caputo fractional derivatives. Firstly existence-uniqueness results for solutions of non-linear Cauchy problems with vector fractional multi-order are addressed. A qualitative result about the behavior of local but non-global
Loïc Bourdin
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The Approximate Duality Gap Technique: A Unified Theory of First-Order Methods [PDF]
SIAM Journal on Optimization, 2019 We present a general technique for the analysis of first-order methods. The technique relies on the construction of a duality gap for an appropriate approximation of the objective function, where the function approximation improves as the algorithm converges.
Jelena Diakonikolas, Lorenzo Orecchia
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Duality theory forN-th order differential operators under stieltjes boundary ponditions. II: Nonsmooth coefficients and nonsingular measures [PDF]
Annali di Matematica Pura ed Applicata, 1975 Adjoint relations are characterized for an n-th order vector valued differential system with nonsmooth coefficients and with boundary conditions represented by Stieltjes measures of bounded variation when the system is viewed as an operator with domain and range in a space of Lp integrable functions.
Richard C. Brown
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Super-duality and necessary optimality conditions of order "infinity" in optimal control theory [PDF]
We systematically introduce an approach to the analysis and (numerical) solution of a broad class of nonlinear unconstrained optimal control problems, involving ordinary and distributed systems. Our approach relies on exact representations of the increments of the objective functional, drawing inspiration from the classical Weierstrass formula in ...
Pogodaev, Nikolay, Staritsyn, Maxim
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T-duality of D-brane action at order α′ in bosonic string theory [PDF]
Journal of High Energy Physics, 2013 19 pages, Latex file, no figure; v2:minor corrections in section 3, it appears in ...
Ahmad Ghodsi +3 more
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On the Duality Theory for Problems with Higher Order Differential Inclusions
, 2019 This paper on the whole concerns with the duality of Mayer problem for k-th order differential inclusions, where k is an arbitrary natural number. Thus, this work for constructing the dual problems to differential inclusions of any order can make a great contribution to the modern development of optimal control theory.
Elimhan N. Mahmudov
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Duality theory and propagation rules for higher order nets
Discrete Mathematics, 2011 AbstractHigher order nets and sequences are used in quasi-Monte Carlo rules for the approximation of high dimensional integrals over the unit cube. Hence one wants to have higher order nets and sequences of high quality.In this paper we introduce a duality theory for higher order nets whose construction is not necessarily based on linear algebra over ...
Josef Dick +2 more
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