Eigenvalue computation of totally nonnegative upper Hessenberg matrices based on a variant of the discrete hungry Toda equation

Ryo Sumikura, Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto, Masashi Iwasaki, Yoshimasa Nakamura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
EditorsTheodore E. Simos, Theodore E. Simos, Charalambos Tsitouras, Theodore E. Simos
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735412873
DOIs
Publication statusPublished - 2015 Mar 10
EventInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
Duration: 2014 Sep 222014 Sep 28

Publication series

NameAIP Conference Proceedings
Volume1648
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
CountryGreece
CityRhodes
Period14/9/2214/9/28

Keywords

  • discrete hungry Toda equation
  • eigenvalue
  • totally nonnegative matrix

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Sumikura, R., Fukuda, A., Ishiwata, E., Yamamoto, Y., Iwasaki, M., & Nakamura, Y. (2015). Eigenvalue computation of totally nonnegative upper Hessenberg matrices based on a variant of the discrete hungry Toda equation. In T. E. Simos, T. E. Simos, C. Tsitouras, & T. E. Simos (Eds.), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 [690006] (AIP Conference Proceedings; Vol. 1648). American Institute of Physics Inc.. https://doi.org/10.1063/1.4912921