Publications and Preprints

Twenty years ago we formulated and proved a matrix version of the arithmetic-geometric mean inequality \cite{rbhfk}. This seems to have stimulated several authors who have found different proofs, equivalent statements, extensions, and generalisations in different directions. In this article we survey these developments, and discuss other closely related matters. While our main focus is on the arithmetic-geometric mean inequality, the article can also serve as an introduction to the basic ideas and typical problems of the flourishing subject of matrix inequalities.