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A Note on a necessary condition for optimality [PDF]
Modeling, Identification and Control, 1990 A necessary condition is derived for the optimality of a linear multivariable feedback control system with respect to a quadratic performance index of infinite settling time.
David Di Ruscio
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A Note on the McCormick Second-Order Constraint Qualification
Trends in Computational and Applied Mathematics, 2022 The study of optimality conditions and constraint qualification is a key topic in nonlinear optimization. In this work, we present a reformulation of the well-known second-order constraint qualification described by McCormick in [17]. This reformulation
M. D. Sánchez +2 more
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Axioms, 2023 This paper is devoted to the investigation of optimality conditions and saddle point theorems for robust approximate quasi-weak efficient solutions for a nonsmooth uncertain multiobjective fractional semi-infinite optimization problem (NUMFP). Firstly, a
Liu Gao, Guolin Yu, Wenyan Han
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Approximate Subdifferential of the Difference of Two Vector Convex Mappings
Mathematics, 2023 This paper deals with the strong approximate subdifferential formula for the difference of two vector convex mappings in terms of the star difference. This formula is obtained via a scalarization process by using the approximate subdifferential of the ...
Abdelghali Ammar +3 more
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On conditions for linearity of optimal estimation [PDF]
2010 IEEE Information Theory Workshop, 2010 When is optimal estimation linear? It is well known that, when a Gaussian source is contaminated with Gaussian noise, a linear estimator minimizes the mean square estimation error. This paper analyzes, more generally, the conditions for linearity of optimal estimators. Given a noise (or source) distribution, and a specified signal to noise ratio (SNR),
Emrah Akyol +2 more
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Mathematics, 2021 In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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Some Optimal Conditions for the ASCLT
Journal of Theoretical Probability, 2023 AbstractLet $$X_{1},X_{2},\ldots $$ X 1 , X 2 , … be independent ...
Berkes, István, Siegfried, Hörmann
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Some remarks on duality and optimality of a class of constrained convex quadratic minimization problems [PDF]
Yugoslav Journal of Operations Research, 2017 In this paper the duality and optimality of a class of constrained convex quadratic optimization problems have been studied. Furthermore, the global optimality condition of a class of interval quadratic minimization problems has also been ...
Roy Sudipta +2 more
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ON THE CONCEPT OF GENERALISED ORDER OPTIMALITY
Tạp chí Khoa học Đại học Đà Lạt, 2012 The main results of this paper include a detailed analysis of the notion of generalised order optimality and some sufficient conditions for a point satisfying the necessary optimality condition [2, 3, Theorem 5.59] to be a generalised order solution of ...
Nguyễn Văn Tuyên +1 more
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SIAM Journal on Optimization, 2009 In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function. We prove that a global solution of the problem can be approximated by an exact or an inexact solution ...
Pierre Maréchal, Jane J. Ye
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