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Conditional ordering extensions

Economic Theory, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Second order optimality conditions

Journal of Discrete Mathematical Sciences and Cryptography, 2000
Abstract The aim of the paper is to establish some new second order optimality conditions by means of suitable second order tangent sets.
MARTEIN, LAURA, A. CAMBINI
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Second order conditions

1995
For a thin dielectric layer, second order transition conditions were developed by Weinstein (1969) and used (Leppington, 1983) to determine the field diffracted by an abrupt change in layer thickness. Since then there have been numerous applications of second (and higher) order boundary conditions in electromagnetics, but some of the solutions are ...
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Higher order conditions

1995
By increasing the order of the boundary condition it is possible to improve the accuracy with which the surface properties are simulated, but the penalty is an increase in the complication of an analytical or numerical solution of the problem. This chapter addresses the problem of choosing the appropriate form of these higher order conditions thus ...
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First order conditions

1995
The authors consider only time harmonic electromagnetic fields with a time dependence specified by the factor ejωt which is omitted. In a stationary, linear, isotropic, homogeneous medium which is free of sources, the field is described by Maxwell's equations.
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High-Order Nonreflecting Boundary Conditions without High-Order Derivatives

Journal of Computational Physics, 2001
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Uniform conditional stochastic order

Journal of Applied Probability, 1980
One probability measure is less than or equal to another in the sense of UCSO (uniform conditional stochastic order) if a standard form of stochastic order holds for each pair of conditional probability measures obtained by conditioning on appropriate subsets.
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Second Order Optimality Conditions

2004
In this chapter we obtain second order necessary optimality conditions for control problems. As we know, geometrically the study of optimality reduces to the study of boundary of attainable sets (see Sect. 10.2). Consider a control system $$\dot q = {f_u}(q),q \in M,u \in U = \operatorname{int} U \subset {R^m},$$ (20.1) where the state space ...
Andrei A. Agrachev, Yuri L. Sachkov
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Second-Order Conditions

2018
Second-order conditions for both parameter optimization problems and optimal control problems are analysed. A new conjugate point test procedure is discussed and illustrated. For an optimal control problem we will examine the second variation of the cost. The first variation subject to constraints provides first-order NC for a minimum of J.
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Second-Order Conditions

1990
Abstract The previous chapter developed sufficient conditions for optimality, using properties like concavity and quasi-concavity. These were defined globally, that is, over the full domain of definition of the functions. For example, a function is called concave if the tangent at any point lies on or above the graph of the function ...
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