Results 121 to 130 of about 8,562,552 (211)

A New Sequential Optimality Condition for Constrained Nonsmooth Optimization

SIAM Journal on Optimization, 2020
We introduce a sequential optimality condition for locally Lipschitz constrained nonsmooth optimization, verifiable just using derivative information, and which holds even in the absence of any con...
E. Neto, S. Santos, Lucas E. A. Simões
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A robust topological derivative-based multi-material optimization approach: Optimality condition and computational algorithm

, 2020
Topology optimization is a technique in the engineering area that allows obtaining optimal designs of devices, mechanisms, complex structures and even design the microstructure of an auxetic material.
A. A. R. Onco, Sebastián M. Giusti
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Optimality Conditions for Vector Optimization Problems

Journal of Optimization Theory and Applications, 2009
The 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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Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences

Optim. Methods Softw., 2019
Mathematical programs with equilibrium constraints is a difficult class of constrained optimization problems. The feasible set has a very special structure and violates most of the standard constraint qualifications.
A. Ramos
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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
zbMATH 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, 2007
zbMATH 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., 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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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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Optimality Condition for the Petz Map.

Physical Review Letters
In quantum error correction, the Petz map serves as a perfect recovery map when the Knill-Laflamme conditions are satisfied. Notably, while perfect recovery is generally infeasible for most quantum channels of finite dimension, the Petz map remains a ...
Bikun Li, Zhaoyou Wang, Guo Zheng, Yat Wong, Liang Jiang   +4 more
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