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Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones
Numerical Functional Analysis and Optimization, 2013This article presents higher-order necessary and sufficient efficiency conditions for multiobjective optimization problems involving cone-constraints and a set constraint with G\^ateaux differentiable functions via higher-order tangential cones.
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Conditional likelihood and power: higher-order asymptotics
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1992Abstract This paper considers, in the presence of a nuisance parameter, a very large class of tests that includes the conditional and the usual versions of the likelihood ratio (LR), Rao’s and Wald’s tests. Under contiguous alternatives and orthogonal parametrization, the power functions of the conditional and the usual versions of ...
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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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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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Higher Order Conditions with and without Lagrange Multipliers
SIAM Journal on Control and Optimization, 1986Higher order sufficient conditions involving possibly nonconvex sets of variations (without Lagrange multipliers) are established for the following property: \(\Phi_ 1(.):\) \(Q\subset Y\to R^ m\) is said to be strongly locally (\({\mathcal U},\Phi_ 2,C)\)-controllable at \(\bar q\in Q\) if there exist neighbourhoods \(G_ 1,G_ 2\) of 0 in \(R^ m,Z ...
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A Higher-Order Stabilizability Condition for a Class of Switched Systems
First International Conference on Innovative Computing, Information and Control - Volume I (ICICIC'06), 2006This study investigates the existence of stabilizing switching rules among a class of unstable nonlinear systems. A high-order checking condition and an associated stabilizing switching rule are presented to implement the stabilizability of the switched systems.
Yew-Wen Liang +2 more
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Higher-order optimality conditions for strict local minima
Annals of Operations Research, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bienvenido Jiménez, Vicente Novo
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Induction machine condition monitoring with higher order spectra
IEEE Transactions on Industrial Electronics, 2000This paper describes a novel method of detecting and unambiguously diagnosing the type and magnitude of three induction machine fault conditions from the single sensor measurement of the radial electromagnetic machine vibration. The detection mechanism is based on the hypothesis that the induction machine can be considered as a simple system, and that ...
Neil Arthur, Jim Penman
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Evaluative conditioning depends on higher order encoding processes
Cognition & Emotion, 2011Evaluative conditioning (EC) is commonly conceived as stimulus-driven associative learning. Here, we show that internally generated encoding activities mediate EC effects: Neutral conditioned stimuli (CS) faces were paired with positive and negative unconditioned stimuli (US) faces. Depending on the encoding task (Is CS a friend vs.
Klaus, Fiedler, Christian, Unkelbach
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Higher-order conditions for strict efficiency
Optimization, 2011Luu and Kien (On higher order conditions for strict efficiency, Soochow J. Math. 33 (2007), pp. 17–31), proposed higher-order conditions for strict efficiency of vector optimization problems based on the derivatives introduced in Ginchev (Higher order optimality conditions in nonsmooth optimization, Optimization 51 (2002), pp. 47–72). These derivatives
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Higher order Adams’ inequality with the exact growth condition
Communications in Contemporary Mathematics, 2018Adams’ inequality is the complete generalization of the Trudinger–Moser inequality to the case of Sobolev spaces involving higher order derivatives. The failure of the original form of the sharp inequality when the problem is considered on the whole space [Formula: see text] served as a motivation to investigate in the direction of a refined sharp ...
Masmoudi, Nader, Sani, Federica
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