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.

元の言語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
出版者Springer Verlag
ページ143-155
ページ数13
ISBN(印刷物)9783319624242
DOI
出版物ステータスPublished - 2017 1 1
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(印刷物)1439-7358

Other

Other1st InternationalWorkshop on Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing, EPASA 2015
Japan
Tsukuba
期間15/9/1415/9/16

Fingerprint

Eigenvalues and eigenfunctions

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

これを引用

Takeuchi, H., Aihara, K., Fukuda, A., & Ishiwata, E. (2017). Computation of eigenvectors for a specially structured banded matrix. : Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing - EPASA 2015 (pp. 143-155). (Lecture Notes in Computational Science and Engineering; 巻数 117). Springer Verlag. https://doi.org/10.1007/978-3-319-62426-6_10

Computation of eigenvectors for a specially structured banded matrix. / Takeuchi, Hiroshi; Aihara, Kensuke; Fukuda, Akiko; Ishiwata, Emiko.

Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing - EPASA 2015. Springer Verlag, 2017. p. 143-155 (Lecture Notes in Computational Science and Engineering; 巻 117).

研究成果: Conference contribution

Takeuchi, H, Aihara, K, Fukuda, A & Ishiwata, E 2017, Computation of eigenvectors for a specially structured banded matrix. : Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing - EPASA 2015. Lecture Notes in Computational Science and Engineering, 巻. 117, Springer Verlag, pp. 143-155, 1st InternationalWorkshop on Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing, EPASA 2015, Tsukuba, Japan, 15/9/14. https://doi.org/10.1007/978-3-319-62426-6_10
Takeuchi H, Aihara K, Fukuda A, Ishiwata E. Computation of eigenvectors for a specially structured banded matrix. : Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing - EPASA 2015. Springer Verlag. 2017. p. 143-155. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-319-62426-6_10
Takeuchi, Hiroshi ; Aihara, Kensuke ; Fukuda, Akiko ; Ishiwata, Emiko. / Computation of eigenvectors for a specially structured banded matrix. Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing - EPASA 2015. Springer Verlag, 2017. pp. 143-155 (Lecture Notes in Computational Science and Engineering).
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