Investigating an overdetermined system of linear equations by using convex functions

Authors : Zlatko PAVİC, Vedran NOVOSELAC

Pages : 865-874

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Publication Date : 2017-10-01

Article Type : Research Paper

Abstract :The paper studies the application of convex functions in order to prove the existence of optimal solutions of an overdetermined system of linear equations. The study approaches the problem by using even convex functions instead of projections. The research also relies on some special properties of unbounded convex sets, and the lower level sets of continuous functions.
Keywords : overdetermined system, convex function, global minimum