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

DOI10.1016/j.amc.2008.04.031zbMath1158.65032OpenAlexW2016792323MaRDI QIDQ2518717

Qingxiang Yin

Publication date: 16 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.04.031

zbMATH Keywords

eigenvalueseigenvectorsanti-tridiagonal matricesmatrix powerJordan's form

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Canonical forms, reductions, classification (15A21)

Related Items

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 ⋮ On computing of arbitrary positive powers for one type of anti-tridiagonal matrices of even order ⋮ 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 ⋮ Eigenvalue decomposition for persymmetric Hankel matrices with at most three non-zero anti-diagonals ⋮ On anti-pentadiagonal persymmetric Hankel matrices with perturbed corners ⋮ Integer powers of anti-tridiagonal matrices of the form \(\mathrm{antitridiag}_n(a,0,b)\), \(a,b\in\mathbb R\) ⋮ On the spectral properties of real antitridiagonal Hankel matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(- 1,0,0,\dots,0\) in principal and \(1,1,1,\dots,1\) in neighbouring diagonals. I
• On computing of arbitrary positive integer powers for one type of even order symmetric circulant matrices . I.
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order. II.
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order. I
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order. I
• Reduction of the Eigenproblem for Hermitian Persymmetric Matrices