Powers of complex persymmetric or skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals

DOI10.1016/J.AMC.2010.12.091zbMath1220.15020OpenAlexW1991152664MaRDI QIDQ632830

Jesús Gutiérrez-Gutiérrez

Publication date: 28 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.091

zbMATH Keywords

Chebyshev polynomialsanti-tridiagonal matricespersymmetric matricescomplex tridiagonal Toeplitz matricespowers of matrices

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (12)

On some quasi anti-tridiagonal matrices ⋮ Integer powers of real even order anti-tridiagonal Hankel matrices of the form \(\mathrm{antitridiag}_{n} ({a},{c},-{a})\) ⋮ The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel 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 ⋮ Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices ⋮ Eigenvalue decomposition for persymmetric Hankel matrices with at most three non-zero anti-diagonals ⋮ 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 \(\mathrm{antitridiag}_n(a,0,b)\), \(a,b\in\mathbb R\) ⋮ Integer powers of anti-bidiagonal Hankel matrices ⋮ Remarks on anti-tridiagonal matrices

Cites Work

• Unnamed Item
• 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
• Powers of tridiagonal matrices with constant diagonals
• Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals
• 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

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