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On the matrix Heinz means and Rényi divergences
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2024-07-16 , DOI: 10.1080/03081087.2024.2379397 Raluca Dumitru 1 , Jose A. Franco 1
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2024-07-16 , DOI: 10.1080/03081087.2024.2379397 Raluca Dumitru 1 , Jose A. Franco 1
Affiliation
Bhatia, Lim and Yamazaki obtained results on the norm minimality of the Kubo-Ando Heinz means of positive semidefinite matrices. Namely, they proved that |||A♯αB+A♯1−αB|||≤|||AαB1−α+A1−αBα|||, for...
中文翻译:
在矩阵 Heinz 均值和 Rényi 散度上
Bhatia、Lim 和 Yamazaki 获得了正半定矩阵 Kubo-Ando Heinz 均值的范数极小值的结果。也就是说,他们证明了 |||A♯αB+A♯1−αB|||≤|||AαB1−α+A1−αBα|||,对于...
更新日期:2024-07-16
中文翻译:
在矩阵 Heinz 均值和 Rényi 散度上
Bhatia、Lim 和 Yamazaki 获得了正半定矩阵 Kubo-Ando Heinz 均值的范数极小值的结果。也就是说,他们证明了 |||A♯αB+A♯1−αB|||≤|||AαB1−α+A1−αBα|||,对于...