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.
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页数：2
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