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math.CA2025★ 1 cited
Entrywise transforms preserving matrix positivity and non-positivity
Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma +1
We characterize real and complex functions which, when applied entrywise to square matrices, yield a positive definite matrix if and only if the original matrix is positive definit…
math.CA2023★ 1 cited
Inequalities for totally nonnegative matrices: Gantmacher--Krein, Karlin, and Laplace
Shaun M. Fallat, Prateek Kumar Vishwakarma
A real linear combination of products of minors which is nonnegative over all totally nonnegative (TN) matrices is called a determinantal inequality for these matrices. It is refer…