On the characteristic polynomial and Eigenvectors of a Periodic Tridiagonal Matrix

被引:0
作者
Lv, Quanyi [1 ]
Zhou, Min [1 ]
Nie, Yufeng [1 ]
机构
[1] NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
来源
PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2 | 2009年
关键词
Periodic tridiagonal matrices; Characteristic polynomials; Eigenvectors;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we derive the general expression of the characteristic polynomial and eigenvectors of a periodic tridiagonal matrix. A new efficient computational algorithm to find the characteristic polynomial and eigenvectors of periodic tridiagonal matrix is presented. The algorithm is implemented using polynomial functions on MATLAB.
引用
收藏
页码:164 / 168
页数:5
相关论文
共 3 条
[1]   ITERATIVE CALCULATION OF A FEW OF LOWEST EIGENVALUES AND CORRESPONDING EIGENVECTORS OF LARGE REAL-SYMMETRIC MATRICES [J].
DAVIDSON, ER .
JOURNAL OF COMPUTATIONAL PHYSICS, 1975, 17 (01) :87-94
[2]   On the characteristic polynomial, eigenvectors and determinant of a pentadiagonal matrix [J].
Hadj, Ahmed Driss Aiat ;
Elouafi, Mohamed .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (02) :634-642
[3]  
WIKINSON JH, 1965, ALGEBRAIC EIGENVALUE