On computing of arbitrary positive integer powers of odd order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1,1,1, ...,1;-1,-1,-1, ... ,-1 in neighbouring diagonals

被引:10
作者
Rimas, Jonas [1 ]
机构
[1] Kaunas Univ Technol, Fac Fundamental Sci, Dept Appl Math, LT-51368 Kaunas, Lithuania
关键词
Anti-tridiagonal matrices; Eigenvalues; Eigenvectors; Chebyshev polynomials;
D O I
10.1016/j.amc.2008.11.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we derive the general expression of the lth power (l is an element of N) for one type of anti-tridiagonal matrices of odd order. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:64 / 71
页数:8
相关论文
共 11 条
[1]  
Agarwal RP., 1992, DIFFERENCE EQUATIONS
[2]  
Fox L., 1970, Chebyshev Polynomials in Numerical Analysis, V54, P76
[3]  
Horn R. A., 2012, Matrix Analysis
[4]  
James G., 2004, ADV MODERN ENG MATH
[5]  
LEONAITE G, 2006, P 17 INT S MATH THEO
[6]  
PICARD RW, 1992, J MATH IMAGING VISIO, V2
[7]   On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order - II [J].
Rimas, J .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (01) :676-683
[8]   On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order - I [J].
Rimas, J .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (02) :1214-1217
[9]  
RIMAS J, 1977, TELECOMM RADIO ENG, V32, P68
[10]   On computing of arbitrary integer powers of even order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1, 1, 1,..., 1;-1,-1,-1,...,-1 in neighbouring diagonals [J].
Rimas, Jonas .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (02) :754-763