Computation of Eigenvectors for a Specially Structured Banded Matrix
Computation of Eigenvectors for a Specially Structured Banded Matrix
复制标题
特殊结构带状矩阵的特征向量计算
DOI：
10.1007/978-3-319-62426-6_10
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Ishiwata Emiko
中科院分区：
文献类型：
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作者：
Takeuchi Hiroshi;Aihara Kensuke;Fukuda Akiko;Ishiwata Emiko
针对一类特殊结构的非对称带状矩阵，提出了一种计算其全部特征向量的新方法。我们表明，本征向量的条目被安排从复平面上的原点辐射。这个性质使我们能够有效地计算所有的特征向量。尽管目标矩阵具有复特征值，但所提出的方法仅使用真实的算术即可计算所有复特征向量。
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.