Results 21 to 30 of about 1,196 (82)
A new smoothing method for solving nonlinear complementarity problems
Open Mathematics, 2019 In this paper, a new improved smoothing Newton algorithm for the nonlinear complementarity problem was proposed. This method has two-fold advantages. First, compared with the classical smoothing Newton method, our proposed method needn’t nonsingular of ...
Zhu Jianguang, Hao Binbin
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Methods of tropical optimization in rating alternatives based on pairwise comparisons
, 2017 We apply methods of tropical optimization to handle problems of rating alternatives on the basis of the log-Chebyshev approximation of pairwise comparison matrices.
A Farkas +9 more
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On the order of the operators in the Douglas-Rachford algorithm
, 2015 The Douglas-Rachford algorithm is a popular method for finding zeros of sums of monotone operators. By its definition, the Douglas-Rachford operator is not symmetric with respect to the order of the two operators.
Bauschke, Heinz H., Moursi, Walaa M.
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Direct solutions to tropical optimization problems with nonlinear objective functions and boundary constraints [PDF]
, 2013 We examine two multidimensional optimization problems that are formulated in terms of tropical mathematics. The problems are to minimize nonlinear objective functions, which are defined through the multiplicative conjugate vector transposition on vectors
Krivulin, Nikolai, Zimmermann, Karel
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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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A three-term Polak-Ribière-Polyak derivative-free method and its application to image restoration
Scientific African, 2021 In this paper, a derivative-free method for solving convex constrained nonlinear equations involving a monotone operator with a Lipschitz condition imposed on the underlying operator is introduced and studied.
Abdulkarim Hassan Ibrahim +3 more
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A weakly convergent fully inexact Douglas-Rachford method with relative error tolerance
, 2018 Douglas-Rachford method is a splitting algorithm for finding a zero of the sum of two maximal monotone operators. Each of its iterations requires the sequential solution of two proximal subproblems.
Svaiter, Benar F.
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, 2014 We present a multidimensional optimization problem that is formulated and solved in the tropical mathematics setting. The problem consists of minimizing a nonlinear objective function defined on vectors over an idempotent semifield by means of a ...
A. Tharwat +22 more
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Performance Bounds For Co-/Sparse Box Constrained Signal Recovery
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 The recovery of structured signals from a few linear measurements is a central point in both compressed sensing (CS) and discrete tomography. In CS the signal structure is described by means of a low complexity model e.g. co-/sparsity.
Kuske Jan, Petra Stefania
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Restrict-and-relax search for 0-1 mixed-integer programs
EURO Journal on Computational Optimization, 2013 A highly desirable characteristic of methods for solving 0-1 mixed-integer programs is that they should be capable of producing high-quality solutions quickly.
Menal Guzelsoy +2 more
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