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A new positive definite geometric mean of two positive definite matrices - MaRDI portal

A new positive definite geometric mean of two positive definite matrices (Q5961688)

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scientific article; zbMATH DE number 982582
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A new positive definite geometric mean of two positive definite matrices
scientific article; zbMATH DE number 982582

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    A new positive definite geometric mean of two positive definite matrices (English)
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    9 October 1997
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    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 \textit{T. Ando} [Topics on operator inequalities (1978; Zbl 0388.47024)].
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    positive definite matrices
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    geometric mean
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