7 citations · 17 across the 21 of their papers we have counts for
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Nesbitt and Shapiro Cyclic Sum Inequalities for Positive Definite Matrices
Projesh Nath Choudhury, K. C. Sivakumar
The aim of this note is to show that certain number theoretic inequalities due to Nesbitt and Shapiro have noncommutative counterparts involving positive definite matrices.
Multivariate blowup-polynomials of graphs
Projesh Nath Choudhury, Apoorva Khare
In recent joint work (2021), we introduced a novel multivariate polynomial attached to every metric space - in particular, to every finite simple connected graph - and showed i…
The blowup-polynomial of a metric space: connections to stable polynomials, graphs and their distance spectra
Projesh Nath Choudhury, Apoorva Khare
To every finite metric space , including all connected unweighted graphs with the minimum edge-distance metric, we attach an invariant that we call its blowup-polynomial $p_X(\{…
Total negativity: Characterizations and single-vector tests
Projesh Nath Choudhury
A matrix is called totally negative (totally non-positive) of order , if all its minors of size at most are negative (non-positive). The objective of this article is to prov…
Characterizing total positivity: single vector tests via Linear Complementarity, sign non-reversal, and variation diminution
Projesh Nath Choudhury
A matrix is called totally positive (or totally non-negative) of order , denoted by TP_k (or TN_k), if all minors of size at most are positive (or non-negative). These m…