Exact Eigenvalue and Eigenvector Solutions of Certain Tridiagonal Generalized Eigenvalue Problems

被引：0

作者：

Chang, Hung-Wen ^{[1
]}

Liu, Sen-Eon ^{[1
]}

Mu, Sin-Yuan ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Photon, Kaohsiung 80424, Taiwan

来源：

2014 INTERNATIONAL SYMPOSIUM ON NEXT-GENERATION ELECTRONICS (ISNE) | 2014年

关键词：

Eigenvalue; generalized eigenvalue problem;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

It is known that certain tridiagonal matrices have exact eigenvalues and eigenvectors. There are sixteen documented tridiagonal matrix families, from the discretization of the one-dimensional Helmholtz equation that possess such properties. Extended members of these matrices share a same set of eigenvectors making them commutative with respective to matrix multiplication. We may therefore construct, in a fairly straightforward way, exact closed-form solutions of certain tridiagonal generalized matrix eigenvalue problems.

引用

页数：2

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