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

DOI10.1016/J.AMC.2008.07.021zbMath1154.65001OpenAlexW4253735856MaRDI QIDQ2518655

Jonas Rimas

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.2008.07.021

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorsanti-tridiagonal matrices

Mathematics Subject Classification ID

Related Items (6)

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

Uses Software

• CVIPtools

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On computing of arbitrary positive integer powers for one type of even order symmetric anti-pentadiagonal matrices
• 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 even order. I
• Matrix Analysis

This page was built for publication: 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