Results 221 to 230 of about 10,869 (265)

Discrete Optimal Control: Second Order Optimality Conditions

Journal of Difference Equations and Applications, 2002
In this paper, we present a survey and refinement of our recent results in the discrete optimal control theory. For a general nonlinear discrete optimal control problem (P) , second order necessary and sufficient optimality conditions are derived via the nonnegativity ( I S 0) and positivity ( I >0) of the discrete quadratic functional I corresponding ...
Roman Hilscher, Vera Zeidan
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Second-Order Global Optimality Conditions for Optimization Problems

Journal of Global Optimization, 2004
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On Second-Order Optimality Conditions for Vector Optimization: Addendum

Journal of Optimization Theory and Applications, 2012
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Maciel, María C., Santos, Sandra A., Sottosanto, Graciela N.   +2 more
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Second-Order Optimality Conditions for Multiobjective Optimization Whose Order Induced by Second-Order Cone

Journal of the Operations Research Society of China, 2018
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Zhang, Li-Wei, Zhang, Ji-Hong, Zhang, Yu-Le   +2 more
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Second order optimality conditions in multiobjective programming

Optimization, 1998
In this paper we will establish some necessary and or sufficient optimality conditions for a vector maximization problem. These conditions are firstly stated without the use of any constraint qualifications. then the given approach allow us to introduce two different kinds of regularity conditions.
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Finite dimensional second order optimality conditions

Optimization, 1989
We consider in this paper a non-linear mathematical program (P) over R n The functions are assumed twice continuously differentiable. We show that the well known BBZ conditions for optimality, which can be found in [3], are the best attainable when only the first and second derivatives of the functions are available.
C.E. Nahum, H.M.J. Cantalloube
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Second-Order Sufficient Conditions in Nonsmooth Optimization

Mathematics of Operations Research, 1988
Second-order conditions are given which are sufficient to guarantee that a given point be a local solution to certain types of finite-dimensional nonsmooth nonlinear programming problems. Both unconstrained and constrained problems are considered.
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Second-Order Optimality Condition for ΔH-Matrices

BIT Numerical Mathematics, 2003
A \(\Delta H\) matrix \(A\) is a square matrix that can be written as \(A=D+DH-HD\), for certain Hermitian \(H\) and diagonal \(D\). \textit{A. Ruhe} [BIT 27, 585--598 (1987; Zbl 0636.15017)] gave a necessary and sufficient condition to solve the problem of finding a normal matrix \(N\) realizing the Frobenius distance from \(A\) to the variety of ...
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Second order sufficient optimality conditions in vector optimization

Journal of Global Optimization, 2011
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E., Ning, Song, Wen, Zhang, Yu
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On sufficient second order optimality conditions in multiobjective optimization

Mathematical Methods of Operations Research, 2005
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