@article{10902/18108,
year = {2019},
month = {2},
url = {http://hdl.handle.net/10902/18108},
abstract = {We compute the exact expected value of the squared condition number for the polynomial eigenvalue problem, when the input matrices have entries coming from the standard complex Gaussian distribution, showing that in general this problem is quite well conditioned.},
organization = {The first author's work was partially supported by Agencia Nacional de Investigación
e Innovación (ANII), Uruguay, and by CSIC group 618, Universidad de La República, Uruguay. The
second author's work was partially supported by MTM2017-83816-P and MTM2017-90682-REDT
from Spanish Ministry of Science MICINN and by 21.SI01.64658 from Universidad de Cantabria and
Banco de Santander.},
publisher = {Society for Industrial and Applied Mathematics},
publisher = {SIAM J. Matrix Anal. Appl., Vol. 40, No. 1, pp. 175-193 (2019)},
title = {The Polynomial Eigenvalue Problem is Well Conditioned for Random Inputs},
author = {Armentano, Diego and Beltrán Álvarez, Carlos},
}