Quadratic refinements of matrix means

Mohammad Sababheh


The main target of this article is to present refinements of the  matrix arithmetic-geometric mean inequality. The main difference between these refinements and the ones in the literature is the quadratic behavior of the refining terms. These refinements include the L\"{o}ewner partial ordering, determinants, trace and unitarily invariant norms refinements.


positive matrices; matrix means; norm inequalities

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DOI: http://dx.doi.org/10.24193/subbmath.2017.4.01


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