EXTENSION OF BLOCK MATRIX REPRESENTATION OF THE GEOMETRIC MEAN

Hana Choi,Hayoung Choi,Sejong Kim,Hosoo Lee

EXTENSION OF BLOCK MATRIX REPRESENTATION OF THE GEOMETRIC MEAN

2020

Hana Choi
Hayoung Choi
Sejong Kim
Hosoo Lee

To extend the well-known extremal characterization of the geometric mean of two n x n positive definite matrices A and B, we solve the following problem:

Keywords:

Geometric mean
Combinatorics
Schur complement
Positive-definite matrix
Matrix (mathematics)
Mathematics
Block matrix
Mathematical analysis

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