Powers of tridiagonal matrices with constant diagonals

被引：15
作者：
Gutierrez-Gutierrez, Jesus [1 ,2 ]
机构：
[1] CEIT, E-20018 San Sebastian, Spain
[2] Tecnun Univ Navarra, E-20018 San Sebastian, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 206卷 / 02期
关键词：
Tridiagonal matrices; Eigenvalues; Eigenvectors; Jordan's form; Chebyshev polynomials;
D O I：
10.1016/j.amc.2008.10.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we derive a general expression for the entries of the qth power (q is an element of N) of the n x n complex tridiagonal matrix tridiag(n) (a(1); a(0); a(-1)) for all n is an element of N, in terms of the Chebyshev polynomials of the second kind. (c) 2008 Elsevier Inc. All rights reserved.
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页码：885 / 891
页数：7
相关论文
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Gutierrez-Gutierrez, Jesus .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (01) :133-140
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APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (01) :348-359
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