Spectrum and eigenvectors for a class of tridiagonal matrices

Chu Wenchang

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Spectrum and eigenvectors for a class of tridiagonal matrices

机译：一类三角形矩阵的光谱和特征向量

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A class of tridiagonal matrices are examined and characterized. Their spectrum, the left and right eigenvectors as well as their scalar products will be determined. The determinants of the two matrices composed by the left and right eigenvectors are also evaluated in closed forms. (C) 2019 Elsevier Inc. All rights reserved.

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《Linear Algebra and its Applications》 |2019年第2019期|共18页
作者
Chu Wenchang;
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作者单位

Zhoukou Normal Univ Sch Math &

Stat Zhoukou Henan Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类线性代数;
关键词
Tridiagonal matrix; Determinant; Eigenvalue; Scalar product; Eigenvector; Orthogonal relation;

机译：Tridiacal矩阵;决定因素;特征值;标量产品;特征向量;正交关系;

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专利

1. Spectrum and eigenvectors for a class of tridiagonal matrices [J] . Chu Wenchang Linear Algebra and its Applications . 2019,第期

机译：一类三角形矩阵的光谱和特征向量
2. Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz‐type matrices [J] . Noschese Silvia, Reichel Lothar Numerical linear algebra with applications . 2019,第3期

机译：在Tridiagonal Toeplitz型矩阵的一般和结构化扰动下的特征敏感性
3. Evaluation of small elements of the eigenvectors of certain symmetric tridiagonal matrices with high relative accuracy [J] . Osipov Andrei Applied and Computational Harmonic Analysis . 2017,第2期

机译：相对精确地评估某些对称三对角矩阵特征向量的小元素
4. On the eigenvalues and eigenvectors of some anti-tridiagonal matrices of even order [C] . Mei Qin, Wei-xin Wang, Yong-na Chang MAO;International conference of matrices and operators . 2011

机译：关于偶数阶反三对角矩阵的特征值和特征向量
5. Parallel algorithms for block tridiagonal matrices with applications. [D] . Cauley, Stephen. 2009

机译：块三对角矩阵的并行算法及其应用。
6. Computing eigenvectors of block tridiagonal matrices based on twisted block factorizations [O] . Gerhard König, Michael Moldaschl, Wilfried N. Gansterer -1

机译：基于扭曲块分解的块三对角矩阵特征向量的计算
7. Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz‐type matrices [O] . Silvia Noschese, Lothar Reichel 2019

机译：在Tridiagonoplitz型矩阵的一般和结构扰动下的特征敏感性
8. Eigenvector Matrices of Symmetric Tridiagonals. [R] . Parlett, B. N., Wu, W. D . 1983

机译：对称Tridiagonals的特征向量矩阵。

Spectrum and eigenvectors for a class of tridiagonal matrices

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