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

DOI10.1016/J.AMC.2010.08.010zbMath1202.65045OpenAlexW2010229307MaRDI QIDQ606848

Honglin Wu

Publication date: 18 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.010

zbMATH Keywords

eigenvaluenumerical exampleseigenvectoranti-tridiagonal matricespower of a matrix

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (10)

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 ⋮ Unnamed Item ⋮ 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 \(\mathrm{antitridiag}_n(a,0,b)\), \(a,b\in\mathbb R\) ⋮ On the spectral properties of real antitridiagonal Hankel matrices

Cites Work

• On computing of arbitrary positive integer powers for one type of symmetric anti-tridiagonal matrices of odd order
• On computing of arbitrary positive powers for anti-tridiagonal matrices of even order
• Reduction of the Eigenproblem for Hermitian Persymmetric Matrices
• Unnamed Item
• Unnamed Item

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