Browse by author
Lookup NU author(s): Professor Mihai Putinar
Full text for this publication is not currently held within this repository. Alternative links are provided below where available.
A classical theorem of I.J. Schoenberg characterizes functions that preserve positivity when applied entrywise to positive semidefinite matrices of arbitrary size. Obtaining similar characterizations in fixed dimension is intricate. In this note, we provide a solution to this problem in the polynomial case. As consequences, we derive tight linear matrix inequalities for Hadamard powers of positive semidefinite matrices, and a sharp asymptotic bound for the matrix cube problem involving Hadamard powers.
Author(s): Belton A, Guillot D, Khare A, Putinar M
Publication type: Article
Publication status: Published
Journal: Comptes Rendus Mathematique
Print publication date: 01/02/2016
Online publication date: 18/01/2016
Acceptance date: 22/11/2015
ISSN (print): 1631-073X
ISSN (electronic): 1778-3569
Publisher: Elsevier Masson
Altmetrics provided by Altmetric