TY - GEN

T1 - Computation of eigenvectors for a specially structured banded matrix

AU - Takeuchi, Hiroshi

AU - Aihara, Kensuke

AU - Fukuda, Akiko

AU - Ishiwata, Emiko

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85041507906&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85041507906&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-62426-6_10

DO - 10.1007/978-3-319-62426-6_10

M3 - Conference contribution

AN - SCOPUS:85041507906

SN - 9783319624242

T3 - Lecture Notes in Computational Science and Engineering

SP - 143

EP - 155

BT - Eigenvalue Problems

PB - Springer Verlag

T2 - 1st InternationalWorkshop on Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing, EPASA 2015

Y2 - 14 September 2015 through 16 September 2015

ER -