Results 21 to 30 of about 134 (108)
Walrasian equilibria from an optimization perspective: A guide to the literature
Naval Research Logistics (NRL), Volume 68, Issue 4, Page 496-513, June 2021., 2021 Abstract An ideal market mechanism allocates resources efficiently such that welfare is maximized and sets prices in a way so that the outcome is in a competitive equilibrium and no participant wants to deviate. An important part of the literature discusses Walrasian equilibria and conditions for their existence.
Martin Bichler +2 more
wiley +1 more source
A Nonpenalty Neurodynamic Model for Complex‐Variable Optimization
Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 In this paper, a complex‐variable neural network model is obtained for solving complex‐variable optimization problems described by differential inclusion. Based on the nonpenalty idea, the constructed algorithm does not need to design penalty parameters, that is, it is easier to be designed in practical applications.
Bao Liu +4 more
wiley +1 more source
A Modified Nonsmooth Levenberg–Marquardt Algorithm for the General Mixed Complementarity Problem
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 As is well known, the mixed complementarity problem is equivalent to a nonsmooth equation by using a median function. By investigating the generalized Jacobi of a composite vector‐valued maximum function, a nonsmooth Levenberg–Marquardt algorithm is proposed in this paper. In the present algorithm, we adopt a new LM parameter form and discuss the local
Linsen Song, Yan Gao, Qiuye Sun
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The differentiability of real functions on normed linear space using generalized subgradients [PDF]
, 1987 The modification of the Clarke generalized subdifferential due to Michel and Penot is a useful tool in determining differentiability properties for certain classes of real functions on a normed linear space.
Giles, J.R. +2 more
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Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics [PDF]
, 2020 The purpose of this work is to introduce and investigate a complicated variational–hemivariational inequality of parabolic type with history-dependent operators.
Han, Jiangfeng, Lu, Liang, Zeng, Shengda
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Evolutionary Oseen model for generalized Newtonian fluid with Multivalued Nonmonotone Friction Law [PDF]
, 2018 The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone frictional slip boundary conditions.
Migórski, Stanisław +3 more
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Complexity, Volume 2020, Issue 1, 2020., 2020 This paper is devoted to the investigation of optimality conditions for approximate quasi weak efficient solutions for a class of vector equilibrium problem (VEP). First, a necessary optimality condition for approximate quasi weak efficient solutions to VEP is established by utilizing the separation theorem with respect to the quasirelative interior of
Yameng Zhang +3 more
wiley +1 more source
Derivatives of orbital function and an extension of Berezin-Gel’fand’s theorem
Special Matrices, 2016 A generalization of a result of Berezin and Gel’fand in the context of Eaton triples is given. The generalization and its proof are Lie-theoretic free and requires some basic knowledge of nonsmooth analysis.
Tam Tin-Yau, Hill William C.
doaj +1 more source
Complexity, Volume 2020, Issue 1, 2020., 2020 Due to the nonsmoothness of the small‐signal stability constraint, calculating the available transfer capability (ATC) limited by small‐signal stability rigorously through the nonlinear programming is quite difficult. To tackle this challenge, this paper proposes a sequential quadratic programming (SQP) method combined with gradient sampling (GS) in a ...
Peijie Li +4 more
wiley +1 more source
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, we consider the evolutionary Navier‐Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition, we use the Galerkin approximation method and a weak precompactness criterion to ensure the ...
Hicham Mahdioui +3 more
wiley +1 more source