Tanvi Jain

activity

20112023

most citedOn symplectic eigenvalues of positive definite matrices

59 citations · 157 across the 10 of their papers we have counts for

collaborators

Showing 2018Show all

5 papers · 1 filter

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.CA2018

Hadamard powers of some positive matrices

Tanvi Jain

Positivity properties of the Hadamard powers of the matrix $[1 + x_{i} x_{j}]$ for distinct positive real numbers $x_{1}, \dots, x_{n}$ and the matrix $\begin{bmatrix…

math-ph2018★ 59 cited

On symplectic eigenvalues of positive definite matrices

Rajendra Bhatia, Tanvi Jain

If $A$ is a $2 n \times 2 n$ real positive definite matrix, then there exists a symplectic matrix $M$ such that $M^TAM = \left [ \begin{array}{cc} D & O \\ O & D \end{array} \right ]…

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.