Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows

IF 1 Q2 MATHEMATICS

Special Matrices Pub Date : 2019-01-01 DOI:10.1515/spma-2019-0004

Maoyun Zhang, Xiaoyu Jiang, Zhaolin Jiang

引用次数: 2

Abstract

Abstract In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block bidiagonal Toeplitz matrices.

查看原文本刊更多论文

带扰动行四带Toeplitz矩阵的显式行列式、逆矩阵和特征值

摘要本文介绍了一类带扰动行的四带Toeplitz矩阵和一类带扰动行的四带Hankel矩阵。利用块双对角Toeplitz矩阵的一个很好的逆公式，导出了这些矩阵的显式行列式、逆矩阵和特征值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Special Matrices MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

8 weeks

期刊介绍： Special Matrices publishes original articles of wide significance and originality in all areas of research involving structured matrices present in various branches of pure and applied mathematics and their noteworthy applications in physics, engineering, and other sciences. Special Matrices provides a hub for all researchers working across structured matrices to present their discoveries, and to be a forum for the discussion of the important issues in this vibrant area of matrix theory. Special Matrices brings together in one place major contributions to structured matrices and their applications. All the manuscripts are considered by originality, scientific importance and interest to a general mathematical audience. The journal also provides secure archiving by De Gruyter and the independent archiving service Portico.