Tanvi Jain

activity

20172023

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4 papers · 1 filter

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

Hadamard powers of rank two, doubly nonnegative matrices

Tanvi Jain

We study ranks of the $r th$ Hadamard powers of doubly nonnegative matrices and show that the matrix $A^{\circ r}$ is positive definite for every $n \times n$ doubly nonnega…

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.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…