P. K. Vishwakarma

activity

20232026

most citedPositivity preservers over finite fields

3 citations · 6 across the 14 of their papers we have counts for

collaborators

Showing math.RAShow all

3 papers · 1 filter

math.RA2026

Positivity preservers over finite fields II

Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma +1

We say that a matrix over a finite field $F_{q}$ is positive definite if it is symmetric and each of its leading principal minors is a nonzero square in $F_{q}$ . In p…

math.RA2025

Cholesky decomposition for symmetric matrices, Riemannian geometry, and random matrices

Apoorva Khare, Prateek Kumar Vishwakarma

For each $n \geq 1$ and sign pattern $ε \in {\pm 1}^{n}$ , we introduce a cone of real symmetric matrices $L P M_{n} (ε)$ : those with leading principal $k \times k$ minors of signs $ε_k…

math.RA2024★ 3 cited

Positivity preservers over finite fields

Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma +1

We resolve an algebraic version of Schoenberg's celebrated theorem [Duke Math.J., 1942] characterizing entrywise matrix transforms that preserve positive definiteness. Compared to…