Results 31 to 40 of about 1,105 (105)
A New Filled Function for Global Optimization
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 The filled function method has recently become very popular in optimization theory, as it is an e cient and e ective method for finding the global minimizer of multimodal functions.
Şahiner Ahmet +2 more
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Open Mathematics, 2018 In this paper, we present an effective algorithm for globally solving quadratic programs with quadratic constraints, which has wide application in engineering design, engineering optimization, route optimization, etc.
Tang Shuai, Chen Yuzhen, Guo Yunrui
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EURO Journal on Computational Optimization, 2016 For many practical applications it is important to determine not only a numerical approximation of one but a representation of the whole set of globally optimal solutions of a non-convex optimization problem.
Gabriele Eichfelder +2 more
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On the complements of 3-dimensional convex polyhedra as polynomial images of ${\mathbb R}^3$ [PDF]
, 2014 We prove that the complement ${\mathcal S}:={\mathbb R}^3\setminus{\mathcal K}$ of a 3-dimensional convex polyhedron ${\mathcal K}\subset{\mathbb R}^3$ and its closure $\overline{{\mathcal S}}$ are polynomial images of ${\mathbb R}^3$.
Fernando, José F., Ueno, Carlos
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A new branch and bound algorithm for minimax ratios problems
Open Mathematics, 2017 This study presents an efficient branch and bound algorithm for globally solving the minimax fractional programming problem (MFP). By introducing an auxiliary variable, an equivalent problem is firstly constructed and the convex relaxation programming ...
Zhao Yingfeng, Liu Sanyang, Jiao Hongwei
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A class of null space conditions for sparse recovery via nonconvex, non-separable minimizations
Results in Applied Mathematics, 2019 For the problem of sparse recovery, it is widely accepted that nonconvex minimizations are better than ℓ1 penalty in enhancing the sparsity of solution.
Hoang Tran, Clayton Webster
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Sufficient pruning conditions for MINLP in gas network design
EURO Journal on Computational Optimization, 2017 One-quarter of Europe’s energy demand is provided by natural gas distributed through a vast pipeline network covering the whole of Europe. At a cost of 1 million Euros per kilometer the extension of the European pipeline network is already a multi ...
Jesco Humpola, Felipe Serrano
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Demonstratio MathematicaIt is of strong theoretical significance and application prospects to explore three-block nonconvex optimization with nonseparable structure, which are often modeled for many problems in machine learning, statistics, and image and signal processing.
Zhao Ying, Lan Heng-you, Xu Hai-yang
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An inertial forward–backward algorithm for the minimization of the sum of two nonconvex functions
EURO Journal on Computational Optimization, 2016 We propose a forward–backward proximal-type algorithm with inertial/memory effects for minimizing the sum of a nonsmooth function with a smooth one in the nonconvex setting.
Radu Ioan Boţ +2 more
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Applications of the Fréchet subdifferential [PDF]
, 2003 2000 Mathematics Subject Classification: 46A30, 54C60, 90C26.In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential.
Durea, M.
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