Temjensangba

collaborators

3 papers

math.FA2026

Derivatives of symplectic spectral functions

Hemant K. Mishra, Niloy Paul, Temjensangba

A symplectic spectral function of a $2 n \times 2 n$ real positive definite matrix $A$ is a function of its symplectic eigenvalues $0 < d_{1} (A) \leq \dots \leq d_{n} (A)$ , which is given…

math.FA2026

Weak supermajorization between symplectic spectra of positive definite matrix and its pinching

Temjensangba, Hemant Kumar Mishra

Let $A = [E F^{T} F G]$ be a $2 n \times 2 n$ real positive definite matrix, where $E, F,$ and $G$ are $n \times n$ blocks. It is shown that $\ d(E \…

math.FA2026

Majorization between symplectic spectra of positive semidefinite matrices

Temjensangba, Hemant K. Mishra, Niloy Paul

Given $2 n \times 2 n$ real symmetric positive semidefinite matrix $A$ with symplectic kernel, there exists a real $2 n \times 2 n$ \emph{symplectic matrix} $M$ such that $M^TAM= D \op…