韦伯问题的最小范数解

African Journal of Educational Studies in Mathematics and Sciences Pub Date : 2008-11-19 DOI:10.4314/AJESMS.V5I1.38611

I. Osinuga, O. Bamigbola

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引用次数: 8

摘要

本文研究了经典韦伯问题的一种无约束形式。其主要思想是将韦伯问题重新表述为无约束最小范数问题。将目标函数表示为Lipschitzian函数，得到了一个必然是凸函数的结果。利用矫顽力假设证明了该问题整体解的存在性。非洲数学与科学教育研究杂志Vol. 5 2007: pp. 29-34

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On the Minimum Norm Solution to Weber Problem

This paper investigates an unconstrained form of classical Weber problem. The main idea is to reformulate Weber problem as an unconstrained minimum norm problem. A result based on the representation of the objective function as a Lipschitzian function, which is necessarily a convex function, is proposed. The existence of global solution to such problem is proven using coercivity assumptions. African Journal of Educational Studies in Mathematics and Sciences Vol. 5 2007: pp. 29-34

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African Journal of Educational Studies in Mathematics and Sciences

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