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

DOI10.1016/J.AMC.2008.11.001zbMath1162.65336OpenAlexW2073883651MaRDI QIDQ1015782

Jonas Rimas

Publication date: 30 April 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.001

zbMATH Keywords

Chebyshev polynomialsnumerical exampleseigenvalueseigenvectorsanti-tridiagonal matricesinteger power of a matrix

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50)

Related Items (8)

On some quasi anti-tridiagonal matrices ⋮ Integer powers of anti-tridiagonal matrices of the form antitridiag_n(a,c,−a),a,c∈ ℂ ⋮ Powers of complex persymmetric or skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals ⋮ Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices ⋮ Explicit expression for arbitrary positive powers of special tridiagonal matrices ⋮ On anti-pentadiagonal persymmetric Hankel matrices with perturbed corners ⋮ Powers of complex persymmetric antitridiagonal matrices with constant antidiagonals ⋮ Integer powers of anti-tridiagonal matrices of the form \(\mathrm{antitridiag}_n(a,0,b)\), \(a,b\in\mathbb R\)

Uses Software

• CVIPtools

Cites Work

• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order. II
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order. I
• On computing of arbitrary integer powers of even order anti-tridiagonal matrices with zeros in main skew diagonal and elements \(1, 1, 1, \ldots , 1; - 1, - 1, - 1, \ldots , - 1\) in neighbouring diagonals
• Matrix Analysis
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