A nonlinear equation is proposed for the multivariable spectral geometric mean of positive definite operators; it recovers the known two-variable mean but need not have a unique solution in higher dimensions.
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A multivariable mean equation arising from the spectral geometric mean
A nonlinear equation is proposed for the multivariable spectral geometric mean of positive definite operators; it recovers the known two-variable mean but need not have a unique solution in higher dimensions.