On computing of arbitrary positive integer powers for one type of symmetric anti-tridiagonal matrices of odd order

DOI10.1016/J.AMC.2008.05.008zbMath1154.65026OpenAlexW4236929178MaRDI QIDQ2378966

Jonas Rimas

Publication date: 14 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.2008.05.008

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorsanti-tridiagonal matrices

Mathematics Subject Classification ID

Related Items (8)

On some quasi anti-tridiagonal matrices ⋮ The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices ⋮ Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals ⋮ On computing of arbitrary integer powers for one type of symmetric anti-tridiagonal matrices of even order ⋮ On computing of arbitrary positive powers for one type of anti-tridiagonal matrices of even order ⋮ Explicit expression for arbitrary positive powers of special tridiagonal matrices ⋮ Eigenvalue decomposition for persymmetric Hankel matrices with at most three non-zero anti-diagonals ⋮ Powers of complex persymmetric antitridiagonal matrices with constant antidiagonals

Uses Software

• CVIPtools

Cites Work

• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order. II
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order. I
• Matrix Analysis
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