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Linear best approximation using a class ofk-majorl p norms
Authors:G A Watson
Institution:(1) Department of Mathematics and Computer Science, University of Dundee, DD1 4HN Dundee, Scotland, UK
Abstract:Consideration is given to problems of linear best approximation using a variant of the usuall p norms referred to ask-majorl p norms, for the cases when 1<p<infin. The underlying problem is the minimization of a piecewise smooth function. Best approximations are characterized, and a descent algorithm is developed.
Keywords:Best approximation  k-major norm  l p norm  descent method
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