The proceedings contains 8 papers from the international conference on nonlinear programming and variational inequalities. Topics discussed include: the constrained minimax linear assignment problem;exploiting negativ...
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The proceedings contains 8 papers from the international conference on nonlinear programming and variational inequalities. Topics discussed include: the constrained minimax linear assignment problem;exploiting negative curvature directions in linesearch methods for unconstrained optimization;on mathematical programs with complementarity constraints;and applying optimal control methods in the optimization of smooth functions.
The proceedings contain 24 papers. The special focus in this conference is on Optimization and Applications. The topics include: On the Application of Composite Penalty Functions Obtained by "Gluin...
ISBN:
(纸本)9783031791185
The proceedings contain 24 papers. The special focus in this conference is on Optimization and Applications. The topics include: On the Application of Composite Penalty Functions Obtained by "Gluing" of External Penalties with Barrier Ones in Linear programming;nesterov’s Method of Dichotomy via Order Oracle: The Problem of Optimizing a Two-Variable Function on a Square;piecewise Linear Approximations in the Balanced Identification of Models with Differential Equations;extragradient Sliding for Composite Non-monotone variationalinequalities;a Three-Stage Numerical Approach to the Study of Extra-Large Atomic-Molecular Clusters;comparative Efficiency of Machine Learning Models for Enhancing Algorithms in Solving Multiextremal Multicriteria Problems;automated Multi-criteria Optimization of Parallel Robots;optimal Selection of Feedback Coefficients in the Problem of Stabilizing a Chain of Three Integrators;on Some Sufficient Condition for Quadraticity of a Degenerate Optimization Problem with Inequality Constraints;a Maximum Principle for a State-Constrained Optimal Control Problem Whose Data is Measurable in the Time-Variable;nash and Stackelberg Equilibria in Differential Games with Functionals in the Form of the Minimum Antagonistic and Partial Criteria;a Model of Investment Policy of Firms;ramsey’s Conjecture for the Model with Non-liquid Capital;a nonlinear Input-Output-Based Model for Medium-Term Macroeconomic Risks Analysis for a Restructuring Economy with Limited Capacities;optimal Timing of Investment and Debt Payment in Production Expansion with the Use of External Financing;identification of an Endogenous Production Function for the U.S. Economy;an Ecological and Economic Model of Carbon Neutrality;optimal Control Problem in Treatment Strategies for Breast Tumors;the Use of Both Temperature Field and Heat Fluxes to Identify the Thermal Conductivity and Volumetric Heat Capacity;maximising the Discounted Accumulated Income in the Model with Two Gas Fields;mode
A comparison between limit analysis and a nonlinear finite element approach is proposed to assess the stability of masonry arches subjected to both vertical and horizontal loads. The limit analysis code discretizes th...
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A comparison between limit analysis and a nonlinear finite element approach is proposed to assess the stability of masonry arches subjected to both vertical and horizontal loads. The limit analysis code discretizes the arch by means of infinitely resistant voussoirs and mortar joints reduced to interfaces. It is based on the lower bound theorem and is mathematically formulated using linear programming, where the objective function to maximize is the collapse multiplier, equality constraints are represented by equilibrium equations and inequalities rely on the material admissibility imposed on mortar joints. The finite element-based method discretizes the arch in a heterogeneous fashion, where voussoirs are meshed with classic four-node elastic elements in plane strain and joints are modelled by means of orthotropic shell elements coupled with elastic perfectly fragile cutoff bars. In this way the nonlinearities are handled adopting the simplest finite element available in any commercial software, and in particular the cutoff bars are displayed perpendicular with respect to the joint allowing the failure of the structure in mode I. To benchmark the proposed models, an arch of the main nave of the San Bassiano Church (Pizzighettone, northern Italy) is analyzed. After a deep analysis of the results obtained in terms of failure mechanism and global behavior, the efficacy and the robustness of both approaches proposed are assessed.
In this paper we study solution differentiability properties for variationalinequalities. We characterize Fréchet differentiability of perturbed solutions to parametric variational inequality problems defined on...
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In this paper we study solution differentiability properties for variationalinequalities. We characterize Fréchet differentiability of perturbed solutions to parametric variational inequality problems defined on polyhedral sets. Our result extends the recent result of Pang and it directly specializes to nonlinear complementarity problems, variational inequality problems defined on perturbed sets and to nonlinearprogramming problems.
In this paper a sensitivity analysis framework is developed for variationalinequalities. The perturbed solution to a parametric variational inequality problem is shown to be continuous and directionally differentiabl...
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In this paper a sensitivity analysis framework is developed for variationalinequalities. The perturbed solution to a parametric variational inequality problem is shown to be continuous and directionally differentiable under appropriate second order and regularity assumptions. Moreover, this solution is once continuously differentiable if strict complementarity also holds.
This paper studies the fuzzy variationalinequalities over a compact set. By using the tolerance approach, we show that solving such problems can be reduced to a semi-infinite programming problem. A relaxed cutting pl...
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This paper studies the fuzzy variationalinequalities over a compact set. By using the tolerance approach, we show that solving such problems can be reduced to a semi-infinite programming problem. A relaxed cutting plane algorithm is proposed. In each iteration, we solve a finite optimization problem and add one more constraint. The proposed algorithm chooses a point at which the infinite constraints are violated to a degree rather than at which the violation is maximized. The iterative process ends when an optimal solution is identified. A convergence proof, under some mild conditions, is given. An efficient: implementation based on the "entropic regularization" techniques is also included. To illustrate the solution procedure, a numerical example is provided. (C) 2001 Elsevier Science B.V. All rights reserved.
In this paper, we introduce and study a relaxed extragradient method for finding solutions of a general system of variationalinequalities with inverse-strongly monotone mappings in a real Hilbert space. First, this s...
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In this paper, we introduce and study a relaxed extragradient method for finding solutions of a general system of variationalinequalities with inverse-strongly monotone mappings in a real Hilbert space. First, this system of variationalinequalities is proven to be equivalent to a fixed point problem of nonexpansive mapping. Second, by using the demi-closedness principle for nonexpansive mappings, we prove that under quite mild conditions the iterative sequence defined by the relaxed extragradient method converges strongly to a solution of this system of variationalinequalities. In addition, utilizing this result, we provide some applications of the considered problem not just giving a pure extension of existing mathematical problems.
It has long been known that variational inequality problems can be reformulated as nonsmooth equations. Recently, locally high-order convergent Newton methods for nonsmooth equations have been well established via the...
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It has long been known that variational inequality problems can be reformulated as nonsmooth equations. Recently, locally high-order convergent Newton methods for nonsmooth equations have been well established via the concept of semismoothness. When the constraint set of the variational inequality problem is a rectangle, several locally convergent Newton methods for the reformulated nonsmooth equations can also be globalized. In this paper, our main aim is to provide globally and locally high-order convergent Newton methods for solving variational inequality problems with general constraints. To achieve this, we first prove via convolution that these nonsmooth equations can be well approximated by smooth equations, which have desirable properties for the design of Newton methods. We then reformulate the variational inequality problems as equivalent smoothing-nonsmooth equations and apply Newton-type methods to solve the latter systems, and so the variational inequality problems. Stronger convergence results have been obtained. (C) 2001 Elsevier Science B.V. All rights reserved.
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