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Relevant bibliographies by topics / Dual extremal problems

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Journal articles

Academic literature on the topic 'Dual extremal problems'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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Journal articles on the topic "Dual extremal problems"

1

Berezovskyi, Oleg. "Improving Lagrange Dual Bounds for Quadratic Extremal Problems." Cybernetics and Computer Technologies, no. 1 (March 31, 2020): 15–22. http://dx.doi.org/10.34229/2707-451x.20.1.2.

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Introduction. Due to the fact that quadratic extremal problems are generally NP-hard, various convex relaxations to find bounds for their global extrema are used, namely, Lagrangian relaxation, SDP-relaxation, SOCP-relaxation, LP-relaxation, and others. This article investigates a dual bound that results from the Lagrangian relaxation of all constraints of quadratic extremal problem. The main issue when using this approach for solving quadratic extremal problems is the quality of the obtained bounds (the magnitude of the duality gap) and the possibility to improve them. While for quadratic con

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2

Solov'ev, V. N. "Dual extremal problems and their applications to minimax estimation problems." Russian Mathematical Surveys 52, no. 4 (1997): 685–720. http://dx.doi.org/10.1070/rm1997v052n04abeh002058.

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3

Ma, Tongyi. "Extremal Problems Related to Dual Gauss-John Position." Journal of Applied Mathematics and Physics 06, no. 12 (2018): 2589–99. http://dx.doi.org/10.4236/jamp.2018.612216.

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4

Zorii, N. V. "Extremal problems dual to the Gauss variational problem." Ukrainian Mathematical Journal 58, no. 6 (2006): 842–61. http://dx.doi.org/10.1007/s11253-006-0108-3.

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Hengartner, Walter, and Wojciech Szapiel. "Extremal Problems for the Classes SR-p and TR-p." Canadian Journal of Mathematics 42, no. 4 (1990): 619–45. http://dx.doi.org/10.4153/cjm-1990-033-x.

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Let H(D) be the linear space of analytic functions on a domain D of ℂ endowed with the topology of locally uniform convergence and let H‘(D) be the topological dual space of H(D). For domains D which are symmetric with respect to the real axis we use the notation Furthermore, denote by S the set of all univalent mappings f defined on the unit disk Δ which are normalized by f (0) = 0 and f‘(0) =1.

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6

Kalanta, S. "DUAL LIMIT ANALYSIS PROBLEMS WITH DISCONTINUITY OF DISPLACEMENT VELOCITIES." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 1, no. 2 (1995): 20–25. http://dx.doi.org/10.3846/13921525.1995.10531510.

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The general dual mathematical models (static and kinematic formulations) of the limit load and rigidplastic body parameters optimization problems are formed on the basis of extremal energy principles and theory of duality. Yield conditions are controlled not only in volume of finite elements, but also at the surfaces between elements. Therefore the possible discontinuity of displacement velocities and velocity energy dissipation between the elements are evaluated.

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7

Royden, Halsey, Pit-Mann Wong, and Steven G. Krantz. "The Carathéodory and Kobayashi/Royden metrics by way of dual extremal problems." Complex Variables and Elliptic Equations 58, no. 9 (2013): 1283–98. http://dx.doi.org/10.1080/17476933.2012.662226.

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8

Solov'ev, V. N. "Simplification of dual extremal problems invariant with respect to change in variables." Mathematical Notes of the Academy of Sciences of the USSR 49, no. 5 (1991): 514–18. http://dx.doi.org/10.1007/bf01142649.

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9

VIROSZTEK, DÁNIEL. "APPLICATIONS OF AN INTERSECTION FORMULA TO DUAL CONES." Bulletin of the Australian Mathematical Society 97, no. 1 (2017): 94–101. http://dx.doi.org/10.1017/s000497271700082x.

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We give a succinct proof of a duality theorem obtained by Révész [‘Some trigonometric extremal problems and duality’, J. Aust. Math. Soc. Ser. A 50 (1991), 384–390] which concerns extremal quantities related to trigonometric polynomials. The key tool of our new proof is an intersection formula on dual cones in real Banach spaces. We show another application of this intersection formula which is related to integral estimates of nonnegative positive-definite functions.

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10

Khimshiashvili, Giorgi, Gaiane Panina, and Dirk Siersma. "Area-perimeter duality in polygon spaces." MATHEMATICA SCANDINAVICA 127, no. 2 (2021): 252–63. http://dx.doi.org/10.7146/math.scand.a-126041.

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Two natural foliations, guided by area and perimeter, of the configurations spaces of planar polygons are considered and the topology of their leaves is investigated in some detail. In particular, the homology groups and the homotopy type of leaves are determined. The homology groups of the spaces of polygons with fixed area and perimeter are also determined. Besides, we extend the classical isoperimetric duality to all critical points. In conclusion a few general remarks on dual extremal problems in polygon spaces and beyond are given.

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