R. Bhatia

activity

20072023

most citedOn symplectic eigenvalues of positive definite matrices

59 citations · 138 across the 11 of their papers we have counts for

collaborators

Showing 2018 · math.FAShow all

3 papers · 2 filters

math.FA2018★ 22 cited

Strong Convexity of Sandwiched Entropies and Related Optimization Problems

Rajendra Bhatia, Tanvi Jain, Yongdo Lim

We present several theorems on strict and strong convexity, and higher order differential formulae for sandwiched quasi-relative entropy (a parametrised version of the classical fi…

math.FA2018

Positivity properties of the matrix $[(i + j)^{i + j}]$

Rajendra Bhatia, Tanvi Jain

Let $p_{1} < p_{2} < \dots < p_{n}$ be positive real numbers. It is shown that the matrix whose $i, j$ entry is $(p_{i} + p_{j})^{p_{i} + p_{j}}$ is infinitely divisible, nonsingular and totally positive.

math.FA2018

Inequalities for the Wasserstein mean of positive definite matrices

Rajendra Bhatia, Tanvi Jain, Yongdo Lim

We prove majorization inequalities for different means of positive definite matrices. These include the Cartan mean (the Karcher mean), the log Euclidean mean, the Wasserstein mean…

Strong Convexity of Sandwiched Entropies and Related Optimization Problems

Positivity properties of the matrix [(i+j)i+j]

Inequalities for the Wasserstein mean of positive definite matrices

Positivity properties of the matrix $[(i + j)^{i + j}]$