On computing of arbitrary positive integer powers for one type of symmetric pentadiagonal matrices of odd order

DOI10.1016/j.amc.2008.06.009zbMath1157.65360OpenAlexW4246985362MaRDI QIDQ2378902

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.2008.06.009

zbMATH Keywords

Chebyshev polynomialsnumerical exampleseigenvalueseigenvectorspentadiagonal matricespositive integer powers

Mathematics Subject Classification ID

Related Items (6)

Integer Powers of Certain Complex Pentadiagonal Toeplitz Matrices ⋮ Symbolic algorithms for the inverses of general \(k\)-tridiagonal matrices ⋮ Explicit eigenvalues of some perturbed heptadiagonal matrices via recurrent sequences ⋮ On computing of arbitrary positive integer powers for one type of even order symmetric anti-pentadiagonal matrices ⋮ A new recursive algorithm for inverting general \(k\)-tridiagonal matrices ⋮ On the number of perfect matchings for some certain types of bipartite graphs

Cites Work

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• Positive integer powers of certain tridiagonal matrices
• Positive integer powers of complex symmetric circulant matrices
• On computing of arbitrary positive integer powers for one type of odd order symmetric circulant matrices. I
• On computing of arbitrary positive integer powers for one type of symmetric pentadiagonal matrices of even order
• On the characteristic polynomial, eigenvectors and determinant of a pentadiagonal matrix
• 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 odd order. I
• On computing of arbitrary positive integer powers for one type of odd order symmetric circulant matrices. II
• On the Elementwise Convergence of Continuous Functions of Hermitian Banded Toeplitz Matrices
• On the asymptotic eigenvalue distribution of Toeplitz matrices

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