On computing of arbitrary integer powers for one type of symmetric anti-tridiagonal matrices of even order

被引：6

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 | 2008年 / 204卷 / 01期

关键词：

anti-tridiagonal matrices; eigenvalues; eigenvectors; Chebyshev polynomials;

D O I：

10.1016/j.amc.2008.06.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：288 / 298

页数：11

共 49 条

[31] Integer powers of anti-tridiagonal matrices of the form antitridiagn (a,c,-a), a, c ∈ C
da Silva, Joao Lita
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2016, 93 (10) : 1723 - 1740
[32] 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
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (02) : 754 - 763
[33] Integer powers of anti-tridiagonal matrices of the form antitridiagn(a, 0, b), a, b ∈ R
da Silva, Joao Lita
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (11) : 1313 - 1328
[34] 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
[35] A FORMULA FOR COMPUTING INTEGER POWERS FOR ONE TYPE OF TRIDIAGONAL MATRIX
Kiyak, H.
Gurses, I.
Yilmaz, F.
Bozkurt, D.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (03): : 351 - 363
[36] The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
da Silva, Joao Lita
KUWAIT JOURNAL OF SCIENCE, 2019, 46 (02) : 1 - 6
[37] Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals
Gutierrez-Gutierrez, Jesus
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (02) : 919 - 924
[38] 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
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (01) : 64 - 71
[39] Positive integer powers and inverse for one type of even order symmetric pentadiagonal matrices (vol 219, pg 5241, 2012)
Arslan, Saadet
Koken, Fikri
Bozkurt, Durmus
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (12) : 6978 - 6978
[40] Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals (antitridiagn (a, c, -a), a ∈ R\{0}, c ∈ R)
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (12) : 7075 - 7088

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