Computation of eigenvectors for a specially structured banded matrix

Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, Emiko Ishiwata

研究成果: Conference contribution

抄録

For a specially structured nonsymmetric banded matrix, which is related to a discrete integrable system, we propose a novel method to compute all the eigenvectors. We show that the eigenvector entries are arranged radiating out from the origin on the complex plane. This property enables us to efficiently compute all the eigenvectors. Although the intended matrix has complex eigenvalues, the proposed method can compute all the complex eigenvectors using only arithmetic of real numbers.

本文言語English
ホスト出版物のタイトルEigenvalue Problems
ホスト出版物のサブタイトルAlgorithms, Software and Applications in Petascale Computing - EPASA 2015
編集者Yoshinobu Kuramashi, Takeo Hoshi, Tetsuya Sakurai, Toshiyuki Imamura, Shao-Liang Zhang, Yusaku Yamamoto
出版社Springer Verlag
ページ143-155
ページ数13
ISBN(印刷版)9783319624242
DOI
出版ステータスPublished - 2017
イベント1st InternationalWorkshop on Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing, EPASA 2015 - Tsukuba, Japan
継続期間: 2015 9 142015 9 16

出版物シリーズ

名前Lecture Notes in Computational Science and Engineering
117
ISSN(印刷版)1439-7358

Other

Other1st InternationalWorkshop on Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing, EPASA 2015
国/地域Japan
CityTsukuba
Period15/9/1415/9/16

ASJC Scopus subject areas

  • モデリングとシミュレーション
  • 工学(全般)
  • 離散数学と組合せ数学
  • 制御と最適化
  • 計算数学

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