30 citations · 416 across the 73 of their papers we have counts for
5 papers · 1 filter
Matrix compression along isogenic blocks
Alexander Belton, Dominique Guillot, Apoorva Khare +1
A matrix-compression algorithm is derived from a novel isogenic block decomposition for square matrices. The resulting compression and inflation operations possess strong functoria…
On an asymptotic characterisation of Griffiths semipositivity
Apoorva Khare, Vamsi Pritham Pingali
We prove that certain possibly non-smooth Hermitian metrics are Griffiths-semipositively curved if and only if they satisfy an asymptotic extension property. This result answers a…
Multiply positive functions, critical exponent phenomena, and the Jain-Karlin-Schoenberg kernel
Apoorva Khare
We prove the converse to a result of Karlin [Trans. AMS 1964], and also strengthen his result and two results of Schoenberg [Ann. of Math. 1955]. One of the latter results concerns…
Sign non-reversal property for totally non-negative and totally positive matrices, and testing total positivity of their interval hull
Projesh Nath Choudhury, M. Rajesh Kannan, Apoorva Khare
A matrix is totally positive (or non-negative) of order , denoted (or ), if all minors of size are positive (or non-negative). It is well-known that su…
Totally positive kernels, Polya frequency functions, and their transforms
Alexander Belton, Dominique Guillot, Apoorva Khare +1
The composition operators preserving total non-negativity and total positivity for various classes of kernels are classified, following three themes. Letting a function act by post…