71 citations · 300 across the 27 of their papers we have counts for
4 papers · 1 filter
Loewner positive entrywise functions, and classification of measurable solutions of Cauchy's functional equations
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Entrywise functions preserving Loewner positivity have been studied by many authors, most notably Schoenberg and Rudin. Following their work, it is known that functions preserving…
Complete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Entrywise powers of symmetric matrices preserving positivity, monotonicity or convexity with respect to the Loewner ordering arise in various applications, and have received much a…
Statistical paleoclimate reconstructions via Markov random fields
Dominique Guillot, Bala Rajaratnam, Julien Emile-Geay
Understanding centennial scale climate variability requires data sets that are accurate, long, continuous and of broad spatial coverage. Since instrumental measurements are general…
The critical exponent conjecture for powers of doubly nonnegative matrices
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Doubly non-negative matrices arise naturally in many setting including Markov random fields (positively banded graphical models) and in the convergence analysis of Markov chains. I…