Non-Linear Interpolation of the Harmonic–Geometric–Arithmetic Matrix Means
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Bhatia, Lim, and Yamazaki conjectured that the Kubo–Ando extensions of means of numbers satisfy a norm minimality condition with respect to unitarily invariant norms. In this short note, we introduce a symmetric Kubo–Ando mean and a non-Kubo–Ando extension that do not satisfy this property.
Keywords and phrasesKubo–Ando means symmetric means norm inequalities concavity
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