# More matrix forms of the arithmetic-geometric mean inequality

Bhatia, Rajendra ; Davis, Chandler (1993) More matrix forms of the arithmetic-geometric mean inequality SIAM Journal on Matrix Analysis and Applications, 14 (1). pp. 132-136. ISSN 0895-4798

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Official URL: http://epubs.siam.org/doi/abs/10.1137/0614012

Related URL: http://dx.doi.org/10.1137/0614012

## Abstract

For arbitrary $n \times n$ matrices A, B, X, and for every unitarily invariant norm, it is proved that 2|||A* XB|||≤|||AA* X + XBB*|||.

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