Extending a two-variable mean to a multi-variable mean
(2016) published
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- Abstract
- (en) We consider the problem of extending any two-variable mean M(·, ·) to a multi-variable mean, using no other tool than M(·, ·) itself. Pálfia proposed an iterative procedure that consists in evaluating successively two-variable means according to a cyclic pattern. We propose here a variant of his procedure to improve the convergence speed. Our approach consists in re-ordering the iterates after each iteration in order to speed up the transfer of information between successive iterates.
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Massart, E., Hendrickx, J., & Absil, P.-A. (2016). Extending a two-variable mean to a multi-variable mean. i6doc.com. https://hdl.handle.net/2078.5/227106