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Erschienen in:
2017 | OriginalPaper | Buchkapitel
Computation of Eigenvectors for a Specially Structured Banded Matrix
verfasst von : Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, Emiko Ishiwata
Erschienen in: Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing
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Abstract
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.