Integer powers of anti-tridiagonal matrices of the form antitridiagn (a,c,-a), a, c ∈ C

被引:3
作者
da Silva, Joao Lita [1 ]
机构
[1] Univ Nova Lisboa, Fac Sci & Technol, Dept Math, P-2829516 Quinta Da Torre, Caparica, Portugal
关键词
anti-tridiagonal matrices; Chebyshev polynomials; ARBITRARY POSITIVE POWERS;
D O I
10.1080/00207160.2015.1073721
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 explicit expression for integer powers of complex anti-tridiagonal Hankel matrices having the form antitridiag(n) (a,c,-a), a, c is an element of C using Chebyshev polynomials.
引用
收藏
页码:1723 / 1740
页数:18
相关论文
共 17 条
[1]  
Andrews G., 2000, Special Functions
[2]  
[Anonymous], 2013, Matrix Analysis
[3]  
[Anonymous], 2001, Matrix Analysis and Applied Linear Algebra
[4]   THE ASYMPTOTIC SPECTRA OF BANDED TOEPLITZ AND QUASI-TOEPLITZ MATRICES [J].
BEAM, RM ;
WARMING, RF .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (04) :971-1006
[5]   A novel algorithm for inverting a general k-tridiagonal matrix [J].
El-Mikkawy, Moawwad ;
Atlan, Faiz .
APPLIED MATHEMATICS LETTERS, 2014, 32 :41-47
[6]  
Glasa J., 2002, WSEAS T MATH, V1, P142
[7]  
Golub GH., 2012, MATRIX COMPUTATIONS, V3
[8]   Powers of complex persymmetric or skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals [J].
Gutierrez-Gutierrez, Jesus .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (13) :6125-6132
[9]   Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals [J].
Gutierrez-Gutierrez, Jesus .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (02) :919-924
[10]   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