From the 1 of 8 linked papers with an AI index.
8 papers
SNT-Rank: Kronecker Products and Euclidean Distance Matrices
Bharat Pratap Chauhan, Projesh Nath Choudhury
The paper studies symmetric nonnegative matrix trifactorizations, providing tighter upper bounds for the SNT‑rank of Euclidean distance matrices, establishing rank relationships, a…
Quadratic Embedding Constants of Cartesian Products and Joins of Graphs
Projesh Nath Choudhury, Raju Nandi
The quadratic embedding constant (QEC) of a finite, simple, connected graph originated from the classical work of Schoenberg [Ann. of Math., 1935] and [Trans. Amer. Math. Soc., 193…
Entrywise preservers of sign regularity
Projesh Nath Choudhury, Shivangi Yadav
Entrywise functions preserving positivity and related notions have a rich history, beginning with the seminal works of Schur, Pólya-SzegÅ, Schoenberg, and Rudin. Following their…
Linear preserver problems in matrix positivity theory
Projesh Nath Choudhury, Shivangi Yadav
Linear preserver problems have been a central focus of research in matrix theory and operator theory for more than a century, beginning with Frobenius' 1897 characterization of det…
Semigroup automorphisms of total positivity
Projesh Nath Choudhury, Shaun Fallat, Chi-Kwong Li
Totally positive (TP) and totally nonnegative (TN) matrices connect to analysis, mechanics, and to dual canonical bases in reductive groups, by well-known works of Schoenberg, Gant…
Positivity of GCD tensors and their determinants
Projesh Nath Choudhury, Krushnachandra Panigrahy
Let be an ordered set of distinct positive integers. The th-order -dimensional tensor where $t_{i…