On periodic block-tridiagonal matrices

DOI10.1016/0024-3795(92)90337-AzbMath0772.15011OpenAlexW1996094287MaRDI QIDQ1187506

Pál Rózsa, Francesco Romani

Publication date: 22 July 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90337-a

zbMATH Keywords

Chebyshev polynomialscharacteristic polynomialperiodic block-tridiagonal matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

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On the characteristic polynomial, eigenvalues for block tridiagonal matrices ⋮ Complexity bounds for solving some tridiagonal systems with preconditioning ⋮ Analytical solution of open crystalline linear 1D tight-binding models ⋮ Epidemic spreading by indirect transmission in a compartmental farm ⋮ Improving formulas for the eigenvalues of finite block-Toeplitz tridiagonal matrices ⋮ Linear algebraic approach on real \(\sigma\)-game

Cites Work

• On the additive structure of the inverses of banded matrices
• Parallel solution of block tridiagonal linear systems
• Remarks on band matrices
• On periodic continuants
• On band matrices and their inverses
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