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Neuromotor and Cognitive Outcomes of Preterm Infants at 3 Months of Corrected Age in a Northeastern Region of Brazil: Longitudinal Feasibility Study. [PDF]
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Optimality Conditions for Vector Optimization Problems
Journal of Optimization Theory and Applications, 2009The paper considers vector optimization problems (VOP) of the form \[ \min F(x) \text{ subject to } u_i(x) \leq 0, i\in\{1, \dots, m\}; v_j(x) =0, j\in\{1, \dots, n\}, \] where \(F:X \rightarrow \mathbb{R}^L\) and \(u_i, v_j: X\rightarrow \mathbb{R}\) and \(X\) is a Banach space.
N. J. Huang, J. Li, S. Y. Wu
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Optimal Conditioning of Matrices
SIAM Journal on Numerical Analysis, 1973The optimal condition number c of a matrix S is the minimum, over all diagonal matrices D, of $\| {DS} \|\| {(DS)^{ - 1} } \|$. It arises in many applications of scaling in linear systems, and has been computed in the maximum norm by Bauer. In the $\ell _2 $-norm, we establish the inequalities $b \leqq c \leqq 2b$ and disprove—by an example of order ...
McCarthy, Charles, Strang, Gilbert
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Optimality conditions in convex optimization revisited
Optimization Letters, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joydeep Dutta, C. S. Lalitha
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Optimality conditions in global optimization and their applications
Mathematical Programming, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alex M. Rubinov, Zhi-You Wu
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On optimality conditions for cone-constrained optimization
Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003We consider feasible sets given by conic constraints, where the cone defining the constraints is convex with nonempty interior. We study the case where the feasible set is not assumed to be regular in the classical sense of Robinson and obtain a constructive description of the tangent cone under a certain new second-order regularity condition.
Alexey F. Izmailov, Mikhail V. Solodov
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On Optimality Conditions in Quasidifferentiable Optimization
SIAM Journal on Control and Optimization, 1984The paper is concerned with a class of quasidifferentiable functions in the sense of \textit{V. F. Demyanov} and \textit{A. M. Rubinov} [Dokl. Akad. Nauk SSSR 250, 21-25 (Russian) (1980; Zbl 0456.49016)]. Such functions are directionally differentiable and their directional derivatives are representable as a difference of two sublinear functions.
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