A new positive definite geometric mean of two positive definite matrices. (English) Zbl 0872.15014

The authors introduce a new type of geometric mean of two positive definite (under certain conditions, positive semidefinite) matrices and describe its most important properties. This new concept of a geometric mean is also confronted with the mean introduced by T. Ando [Topics on operator inequalities (1978; Zbl 0388.47024)].


15A45 Miscellaneous inequalities involving matrices


Zbl 0388.47024
Full Text: DOI


[1] Ando, T., Topics on operator inequalities, (1978), Research Inst. of Applied Electricity, Hokaido Univ Sapporo · Zbl 0388.47024
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