Eigenvalue decomposition for persymmetric Hankel matrices with at most three non-zero anti-diagonals

DOI10.1016/J.AMC.2014.01.169zbMath1298.15039OpenAlexW2052044622MaRDI QIDQ470788

Jesús Gutiérrez-Gutiérrez

Publication date: 13 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.169

zbMATH Keywords

eigenvalueseigenvectorsHankel matricesanti-tridiagonal matricesanti-pentadiagonal matricespersymmetric matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (3)

Spectral properties of anti-heptadiagonal persymmetric Hankel matrices ⋮ Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices ⋮ On the spectral properties of real antitridiagonal Hankel matrices

Cites Work

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• The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices
• Powers of complex persymmetric or skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals
• On computing of arbitrary positive integer powers for one type of even order symmetric anti-pentadiagonal matrices
• Powers of tridiagonal matrices with constant diagonals
• Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals
• On computing of arbitrary positive integer powers for one type of symmetric anti-tridiagonal matrices of odd order
• On computing of arbitrary positive powers for anti-tridiagonal matrices of even order

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