Remarks on Artin approximation with constraints [PDF]
, 2018 We study various approximation results of solutions of equations $f(x,Y)=0$ where $f(x,Y)\in\mathbb K[[x]][Y]^r$ and $x$ and $Y$ are two sets of variables, and where some components of the solutions $y(x)\in\mathbb K[[x]]^m$ do not depend on all the ...
Popescu, Dorin, Rond, Guillaume
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Diophantine approximation on lines with prime constraints [PDF]
The Quarterly Journal of Mathematics, 2013 We study the problem of Diophantine approximation on lines in R^2 with prime numerator and denominator.Comment: 14 ...
Baier, Stephan, Ghosh, Anish
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A method for relaxing state constraints in nonsmooth optimal control problems
Журнал Белорусского государственного университета: Математика, информатика, 2022 In this paper, we consider the optimal control problem described by a system of ordinary differential equations in the presence of state constraints.
Michael P. Dymkov, Siarhey M. Dymkou
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Local Modal Frequency Improvement with Optimal Stiffener by Constraints Transformation Method
Applied Sciences, 2021 Local modal vibration could adversely affect the dynamical environment, which should be considered in the structural design. For the mode switching phenomena, the traditional structural optimization method for problems with specific order of modal ...
Shenyan Chen +4 more
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Approximating Trajectory Constraints With Machine Learning – Microgrid Islanding With Frequency Constraints [PDF]
IEEE Transactions on Power Systems, 2021 In this paper, we introduce a deep learning aided constraint encoding method to tackle the frequency-constraint microgrid scheduling problem. The nonlinear function between system operating condition and frequency nadir is approximated by using a neural network, which admits an exact mixed-integer formulation (MIP).
Yichen Zhang +4 more
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Least Squares Approximation With Constraints [PDF]
Mathematics of Computation, 1986 In this paper we study two families of functions F e {F_e} and F o {F_o} , and show how to approximate the functions in the interval [ − 1 , 1 ] [ - 1,1] .
Milovanović, Gradimir V. +1 more
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Diophantine approximation with constraints
Acta Arithmetica, 2023 Following Schmidt, Thurnheer and Bugeaud-Kristensen, we study how Dirichlet's theorem on linear forms needs to be modified when one requires that the vectors of coefficients of the linear forms make a bounded acute angle with respect to a fixed proper non-zero subspace $V$ of $\mathbb{R}^n$.
Champagne, Jérémy, Roy, Damien
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A Novel Local Search-Based Approximation Algorithm to Optimize Virtual Machine Placement With Resource Constraints [PDF]
MATEC Web of Conferences, 2021 Many problems in cloud computing are not solvable in polynomial time and only option left is to choose approximate solution instead of optimum. Virtual Machine placement is one of such problem with resource constraints in which overall objective is to ...
Maheshbhai Shah Darshan +2 more
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Overall instability and optimization of bar structures with random defects in case of constraints on faultless operation probability [PDF]
Инженерно-строительный журнал, 2013 The aim of this paper is to pose and solve weight optimization problem of bar structures with constraints on faultless operation probability of a structure and constraints on design variables.
O.A. Sergeyev +2 more
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Second order splitting of a class of fourth order PDEs with point constraints [PDF]
, 2020 We formulate a well-posedness and approximation theory for a class of generalised saddle point problems with a specific form of constraints. In this way we develop an approach to a class of fourth order elliptic partial differential equations with point ...
Elliott, Charles M., Herbert, P. J.
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