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

DOI10.1016/j.amc.2008.06.044zbMath1157.65361OpenAlexW1997288057MaRDI QIDQ2378923

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.2008.06.044

zbMATH Keywords

Chebyshev polynomialsnumerical exampleseigenvalueseigenvectorsanti-tridiagonal matricesmatrix power

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50)

Related Items (4)

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 ⋮ Explicit expression for arbitrary positive powers of special tridiagonal matrices

Uses Software

• CVIPtools

Cites Work

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

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