A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means
Sign Up to like & getrecommendations! Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.09.007
Abstract: Abstract It is well known that special Kubo-Ando operator means admit divergence center interpretations, moreover, they are also mean squared error estimators for certain metrics on positive definite operators. In this paper we give a… read more here.
Keywords: divergence center; kubo ando; symmetric kubo; weighted multivariate ... See more keywords
Non-Linear Interpolation of the Harmonic–Geometric–Arithmetic Matrix Means
Sign Up to like & getrecommendations! Published in 2019 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080219010062
Abstract: 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… read more here.
Keywords: non linear; interpolation harmonic; kubo ando; harmonic geometric ... See more keywords