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

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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.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…

math.CA2015

Inertia of Loewner Matrices

Rajendra Bhatia, Shmuel Friedland, Tanvi Jain

Given positive numbers p_1 < p_2 < ... < p_n, and a real number r let L_r be the n by n matrix with its (i,j) entry equal to (p_i^r-p_j^r)/(p_i-p_j). A well-known theorem of C. Loe…