Conditioning for optimization problems under general perturbations

Given a function f ∈ C 1 , 1 ( B ( 0 , r ) ) , where B ( 0 , r ) denotes a ball of radius r in a real Banach space E , we provide the definition of a positive extended real number c ˆ ( f ) defined through the function, that plays a role in the study of the sensitivity of the Argmin map of the pertu...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 75; no. 1; pp. 37 - 45
Main Authors:	Bianchi, M., Kassay, G., Pini, R.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 2012 Elsevier
Subjects:	Algebra Banach space Calculus of variations and optimal control Condition number theorem Conditioning Convex optimization Exact sciences and technology Linear and multilinear algebra, matrix theory Mathematical analysis Mathematics Nonlinearity Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimization Perturbation methods Real numbers Sciences and techniques of general use Sensitivity 90C31 Condition number theorem Sensitivity 49K40 Convex optimization Nonlinear analysis Optimization method Condition number Mathematical model
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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