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

研究成果: Conference contribution

3 被引用数 (Scopus)

抄録

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.

本文言語English
ホスト出版物のタイトルProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
編集者Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
出版社American Institute of Physics Inc.
ISBN(電子版)9780735412873
DOI
出版ステータスPublished - 2015 3 10
イベントInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
継続期間: 2014 9 222014 9 28

出版物シリーズ

名前AIP Conference Proceedings
1648
ISSN(印刷版)0094-243X
ISSN(電子版)1551-7616

Other

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

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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