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 2020Show all

4 papers · 1 filter

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.FA2020★ 17 cited

Derivatives of symplectic eigenvalues and a Lidskii type theorem

Tanvi Jain, Hemant K. Mishra

Associated with every $2 n \times 2 n$ real positive definite matrix $A,$ there exist $n$ positive numbers called the symplectic eigenvalues of $A,$ and a basis of $R^{2 n}$ c…

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…