Results 251 to 260 of about 32,948 (308)

Optimal Conditioning of Matrices

SIAM Journal on Numerical Analysis, 1973
The 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, 2011
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Joydeep Dutta, C. S. Lalitha
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Optimality conditions in global optimization and their applications

Mathematical Programming, 2007
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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., 2003
We 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, 1984
The 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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Some Optimality Conditions in Vector Optimization

Journal of Information and Optimization Sciences, 1989
Abstract In this paper, by means of a theorem of the alternative for generalized systems, weak alternative is introduced and some necessary and/or sufficient optimality conditions such as a generalized saddle-point condition is deduced; a simple proof of the Fritz John conditions for multiobjective functions is given.
CAMBINI A., MARTEIN, LAURA
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Global Optimality Conditions in Nonconvex Optimization

Journal of Optimization Theory and Applications, 2017
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Global Optimality Conditions for Nonconvex Optimization

Journal of Global Optimization, 1998
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Nonseparation of Sets and Optimality Conditions

SIAM Journal on Control and Optimization, 2017
Summary: Two new concepts of uniform approximating cones are introduced and discussed. The main result is a theorem for nonseparability of two closed sets. As an application of this result, an abstract Lagrange multiplier rule and a necessary optimality condition of Pontryagin maximum principle type for an optimal control problem in infinite ...
Mikhail Ivanov Krastanov, N. K. Ribarska
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Regularity Conditions in Vector Optimization

Journal of Optimization Theory and Applications, 1999
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BIGI, GIANCARLO, PAPPALARDO, MASSIMO
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