3 citations · 6 across the 15 of their papers we have counts for
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Cholesky decomposition for symmetric matrices over finite fields
Prateek Kumar Vishwakarma
Inspired by the seminal work of André-Louis Cholesky -- whose contributions remain crucial in broader sciences even after more than a century -- Cooper, Hanna and Whitlatch (2024)…
Chevalley operations on TNN Grassmannians
Prateek Kumar Vishwakarma
Lusztig showed that invertible totally nonnegative (TNN) matrices form a semigroup generated by positive diagonal matrices and Chevalley generators. From its Grassmann analogue, we…
Plücker inequalities for weakly separated coordinates in totally nonnegative Grassmannian
Daniel Soskin, Prateek Kumar Vishwakarma
We show that the partial sums of the long Plücker relations for pairs of weakly separated Plücker coordinates oscillate around on the totally nonnegative part of the Grassmanni…
The Strong Spectral Property of Graphs: Graph Operations and Barbell Partitions
Sarah Allred, Emelie Curl, Shaun Fallat +4
The utility of a matrix satisfying the Strong Spectral Property has been well established particularly in connection with the inverse eigenvalue problem for graphs. More recently t…