Results 11 to 20 of about 45 (40)
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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Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient [PDF]
, 2003 In this paper we consider an initial boundary value problem for a parabolic inclusion whose multivalued nonlinearity is characterized by Clarke's generalized gradient of some locally Lipschitz function, and whose elliptic operator may be a general ...
Motreanu, D. +3 more
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Quasilinear elliptic inclusions of hemivariational type: Extremality and compactness of the solution set [PDF]
, 2003 We consider the Dirichlet boundary value problem for an elliptic inclusion governed by a quasilinear elliptic operator of Leray–Lions type and a multivalued term which is given by the difference of Clarke's generalized gradient of some locally Lipschitz ...
Motreanu, D., Carl, S.
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Nonsmooth and multivalued analysis with applications in optimization [PDF]
, 1983 The object of this thesis is two - fold . In the first part, we develop analogs of convex and nonconvex analysis for vector - valuedoperators, while in the second part we study the theory of Banach valued multifunctions.
Papageorgiou, Nikolaos +1 more
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A chain rule involving vector functions of bounded variation [PDF]
, 1987 By f ϵ lbv(I, X), we mean that f is a function of a real interval I to a Banach space X, with bounded variation on every compact subinterval of I; to such f, an X-valued measure df, called its differential measure, classically corresponds.
Moreau, J.J, Valadier, M
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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
Análise não suave e aplicações em otimização [PDF]
, 2011 Neste trabalho, estamos interessados em apresentar uma abordagem relacionando a análise não suave com a otimização. Primeiramente, é realizado um estudo sobre conceitos da análise não suave, como cones normais, cone tangente de Bouligand, subdiferenciais
Costa, Tiago Mendonça de [UNESP]
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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