An existence criterion for the nonlinear ℓp-norm fitting problem

In this paper, we give a necessary and sufficient criterion for the existence of the ℓ p -norm estimate for the nonlinear ℓ p -norm fitting problem. Our criterion is based on the existence level that describes the behavior of the objective function as its argument approaches the extended boundary of...

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Published in:Central European journal of operations research 2021, Vol.29 (3), p.957-966
Main Authors: Jukić, Dragan, Sabo, Kristian
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Language:English
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Business and Management
Criteria
Operations research
Operations Research/Decision Theory
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description In this paper, we give a necessary and sufficient criterion for the existence of the ℓ p -norm estimate for the nonlinear ℓ p -norm fitting problem. Our criterion is based on the existence level that describes the behavior of the objective function as its argument approaches the extended boundary of the parameter space.
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subjects Business and Management
Criteria
Operations research
Operations Research/Decision Theory
title An existence criterion for the nonlinear ℓp-norm fitting problem
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