Integer powers of real even order anti-tridiagonal Hankel matrices of the form \(\mathrm{antitridiag}_{n} ({a},{c},-{a})\)

DOI10.1016/J.AMC.2013.09.029zbMath1334.15075OpenAlexW2088752363MaRDI QIDQ275717

Jonas Rimas

Publication date: 26 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.09.029

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorsanti-tridiagonal matrices

Mathematics Subject Classification ID

Toeplitz, Cauchy, and related matrices (15B05)

Related Items (9)

On some quasi anti-tridiagonal matrices ⋮ Spectral properties of anti-heptadiagonal persymmetric Hankel matrices ⋮ Integer powers of anti-tridiagonal matrices of the form antitridiag_n(a,c,−a),a,c∈ ℂ ⋮ Explicit expression for arbitrary positive powers of special tridiagonal matrices ⋮ On anti-pentadiagonal persymmetric Hankel matrices with perturbed corners ⋮ Integer powers of anti-tridiagonal matrices of the form \(\mathrm{antitridiag}_n(a,0,b)\), \(a,b\in\mathbb R\) ⋮ Integer powers of anti-bidiagonal Hankel matrices ⋮ Remarks on anti-tridiagonal matrices ⋮ On the spectral properties of real antitridiagonal Hankel matrices

Cites Work

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• A new recursive algorithm for inverting general tridiagonal and anti-tridiagonal matrices
• Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals (\(\mathrm{antitridiag}_{n} (a,c,-a), a\in \mathbb{R} \backslash \{0\}, c \in \mathbb{R}\))
• 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
• On computing of arbitrary positive powers for anti-tridiagonal matrices of even order
• Matrix Analysis

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