Intro
Preface
Organization
Contents
Mathematical Programming
On Numerical Estimates of Errors in Solving Convex Optimization Problems
1 Introduction
2 Numerical Estimates of Errors for Convex Optimization Problems
3 Numerical Estimates of Errors in Solving Convex Non-smooth Optimization Problems
4 Rounding Method to Estimate the Error of the Solution (RoMEES)
5 Experiments
5.1 Smooth Convex Function
5.2 Non-smooth Convex Unconstrained Optimization Problem
5.3 Smooth Convex Constrained Optimization Problem
6 Conclusion
References

Sequential Subspace Optimization for Quasar-Convex Optimization Problems with Inexact Gradient
1 Introduction
2 Subspace Optimization Method with Inexact Gradient
3 Subspace Optimization Method with Inexact Solutions of Auxiliary Subproblems
4 Numerical Experiments
5 Conclusion
References
Global Optimization
A Search Algorithm for the Global Extremum of a Discontinuous Function
1 Introduction
2 Algorithm for Functions with Given Discontinuity Points
3 Identifying Unspecified Discontinuities
4 Algorithm for Unspecified Discontinuities

5 Results of Numerical Experiments
6 Conclusion
References
A Novel Algorithm with Self-adaptive Technique for Solving Variational Inequalities in Banach Spaces
1 Introduction
2 Preliminaries
3 Algorithm
4 Basic Inequality
5 Convergence
6 Numerical Experiments
7 Conclusions
References
Stochastic Optimization
On One Method of Optimization of Quantum Systems Based on the Search for Fixed Points
1 Introduction
2 Conditions for Improvement and Optimality of Control
3 Iterative Algorithms
4 Examples
5 Conclusion
References

Stochastic Optimization for Dynamic Pricing
1 Introduction
2 Problem Statement
3 Algorithms and Theoretical Guarantees
3.1 Stochastic Gradient Descent
3.2 Adaptive Stochastic Gradient Method
4 The Case of Infinite Number of Consumers
5 The Case of Zero Quantity Adjustment Costs
5.1 Mirror Descent Dynamic
5.2 Dual Smoothing
6 Numerical Experiments
7 Conclusion
References
Adaptive Gradient-Free Method for Stochastic Optimization
1 Introduction
1.1 Notation
1.2 Assumptions and Definitions
2 Adaptive Algorithm
2.1 Optimal Batch Size Selection

2.2 Idea of Adaptivity for Lipschitz Constant
3 Algorithm
3.1 Accelerated Adaptive Algorithm
3.2 Coordinate-Wise Selection of L
3.3 Complexity and Oracle Calls
4 Experiments
5 Conclusion
References
Optimal Control
Synthesis of Power and Movement Control of Heating Sources of the Rod
1 Introduction
2 Formulation of the Problem
3 Approach to Determining Feedback
4 Conclusion
References
Evolutionary Algorithms for Optimal Control Problem of Mobile Robots Group Interaction
1 Introduction
2 Optimal Control Problem
3 Evolutionary Algorithms