On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with eigenvalues on imaginary axis - I

被引：5

作者：

Rimas, Jonas ^{[1
]}

机构：

[1] Kaunas Univ Technol, Fac Fundamental Sci, Dept Appl Math, LT-51368 Kaunas, Lithuania

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 02期

关键词：

tridiagonal matrices; eigenvalues; eigenvectors; Jordan's form; chebyshev polynomials;

D O I：

10.1016/j.amc.2007.01.020

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 1th power (I is an element of N) for one type of tridiagonal matrices of order n = 2p (p is an element of N). (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1916 / 1920

页数：5

共 37 条

[1] On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with eigenvalues on imaginary axis - II
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (02) : 1466 - 1471
[2] On computing of arbitrary positive integer powers for one type of even order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis - I
Rimas, J
APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (02) : 997 - 1000
[3] On computing of arbitrary positive integer powers for one type of even order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis-II
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) : 1120 - 1125
[4] On computing of arbitrary positive integer powers for one type of odd order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis - I
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (02) : 1378 - 1380
[5] On computing of arbitrary positive integer powers for one type of odd order tridiagonal matrices with two zero rows and eigenvalues on imaginary axis-I
Leonaite, Gintare
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2007, 185 (01) : 346 - 349
[6] On computing of arbitrary positive integer powers for one type of tridiagonal matrices of even order
Rimas, J
APPLIED MATHEMATICS AND COMPUTATION, 2005, 164 (03) : 829 - 835
[7] On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order-I
Rimas, J
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) : 783 - 787
[8] On computing of arbitrary positive integer powers for one type of odd order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis-II
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) : 872 - 878
[9] On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with zero row-I
Rimas, J
APPLIED MATHEMATICS AND COMPUTATION, 2005, 164 (01) : 149 - 154
[10] On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order - II
Rimas, J
APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) : 245 - 251

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