30 citations · 416 across the 73 of their papers we have counts for
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math.FA2017★ 1 cited
Total-positivity preservers
Alexander Belton, Dominique Guillot, Apoorva Khare +1
We prove that the only entrywise transforms of rectangular matrices which preserve total positivity or total non-negativity are either constant or linear. This follows from an exte…
math.RA2017★ 3 cited
Simultaneous kernels of matrix Hadamard powers
Alexander Belton, Dominique Guillot, Apoorva Khare +1
In previous work [Adv. Math. 298, pp. 325-368, 2016], the structure of the simultaneous kernels of Hadamard powers of any positive semidefinite matrix were described. Key ingredien…
math.CA2017★ 21 cited
On the sign patterns of entrywise positivity preservers in fixed dimension
Apoorva Khare, Terence Tao
Given and an integer , a function is entrywise positivity preserving on positive semidefinite (p.s.d.) matrices $A=(a_{jk})\in I^{N\tim…