118 citations · 689 across the 53 of their papers we have counts for
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Preserving positivity for matrices with sparsity constraints
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Functions preserving Loewner positivity when applied entrywise to positive semidefinite matrices have been widely studied in the literature. Following the work of Schoenberg [Duke…
Preserving positivity for rank-constrained matrices
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Entrywise functions preserving the cone of positive semidefinite matrices have been studied by many authors, most notably by Schoenberg [Duke Math. J. 9, 1942] and Rudin [Duke Math…
On fractional Hadamard powers of positive block matrices
Dominique Guillot, Apoorva Khare, Bala Rajaratnam
Entrywise powers of matrices have been well-studied in the literature, and have recently received renewed attention in the regularization of high-dimensional correlation matrices.…
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…