@inproceedings{8293999d56fe46d5abcee379e66de133,
title = "Eigenvalue computation of totally nonnegative upper Hessenberg matrices based on a variant of the discrete hungry Toda equation",
abstract = "The integrable discrete hungry Toda (dhToda) equation has already been applied to design an eigenvalue algorithm which computes eigenvalues of totally nonnegative (TN) matrices with lower Hessenberg form. In this paper, an eigenvalue algorithm for computing eigenvalues of TN matrices with upper Hessenberg form is derived based on a variant of the dhToda equation.",
keywords = "discrete hungry Toda equation, eigenvalue, totally nonnegative matrix",
author = "Ryo Sumikura and Akiko Fukuda and Emiko Ishiwata and Yusaku Yamamoto and Masashi Iwasaki and Yoshimasa Nakamura",
note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 ; Conference date: 22-09-2014 Through 28-09-2014",
year = "2015",
month = mar,
day = "10",
doi = "10.1063/1.4912921",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras",
booktitle = "Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014",
}