Newton ’ S Inequalities for Families of Complex Numbers

@inproceedings{OFIA2005NewtonS,
title={Newton ’ S Inequalities for Families of Complex Numbers},
author={VLADIMIR V. MONOV I NSTITUTE OF I NFORMATION T ECHNOLOGIES OFIA},
year={2005}
}

VLADIMIR V. MONOV I NSTITUTE OF I NFORMATION T ECHNOLOGIES OFIA

Published 2005

We prove an extension of Newton’s inequalities for self-adjoint families of complex numbers in the half plane Re z > 0. The connection of our results with some inequalities on eigenvalues of nonnegative matrices is also discussed.