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

17 papers

math.FA2023

The numerical radius and positivity of block matrices

Rajendra Bhatia, Tanvi Jain

This article has two interpenetrating motifs. One is an exposition of some major ideas and techniques behind the use of block matrices, and especially their positivity properties.…

math.CA2023

Inertia of Kwong matrices

Rajendra Bhatia, Tanvi Jain

Let $r$ be any real number and for any $n$ let $p_{1}, \dots, p_{n}$ be distinct positive numbers. A Kwong matrix is the $n \times n$ matrix whose $(i, j)$ entry is $(p_i^r+p_j^r)/(p_i+p_…

math.FA2022

Extensions of the Schur majorisation inequalities

Rajendra Bhatia, Rajesh Sharma

We obtain some inequalities which are stronger than the Schur majorization inequalities.

math.CO2022

Eigenvalues and Diagonal Elements

Rajendra Bhatia, Rajesh Sharma

In this paper we discuss some relations between the eigenvalues and the diagonal entries of Hermitian matrices.

math.FA2020★ 3 cited

A Szegő type theorem and distribution of symplectic eigenvalues

Rajendra Bhatia, Tanvi Jain, Ritabrata Sengupta

We study the properties of stationary G-chains in terms of their generating functions. In particular, we prove an analogue of the Szegő limit theorem for symplectic eigenvalues, de…

math.CA2020

A Schur-Horn Theorem for symplectic eigenvalues

Rajendra Bhatia, Tanvi Jain

Let $x$ and $y$ be positive $n$ -vectors. We show that there exists a $2 n \times 2 n$ positive definite real matrix whose symplectic spectrum is $y,$ and the symplectic spectrum of wh…