Finding eigenvalues for heptadiagonal symmetric Toeplitz matrices

DOI10.1016/j.jmaa.2013.02.008zbMath1262.15035OpenAlexW2018326959MaRDI QIDQ1947333

Maryam Shams Solary

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.02.008

zbMATH Keywords

eigenvalueToeplitz matrixdeterminantChebyshev polynomial

Mathematics Subject Classification ID

Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Analytical solutions to some generalized and polynomial eigenvalue problems ⋮ On the spectrum of banded Hankel matrices ⋮ Distribution of eigenvalues for sub-skewtriagonal Hankel matrices ⋮ On computing the eigenvalues of band Toeplitz matrices ⋮ A cost-efficient numerical algorithm for the determinants of heptadiagonal matrices with Toeplitz structure ⋮ Recurrence form for determinant of a heptadiagonal symmetric Toeplitz matrix ⋮ A Widom like formula for some Toeplitz plus Hankel determinants ⋮ Sparse sums with bases of Chebyshev polynomials of the third and fourth kind ⋮ On a relationship between Chebyshev polynomials and Toeplitz determinants ⋮ Cyclic displacements and decompositions of inverse matrices for CUPL Toeplitz matrices ⋮ Computational properties of pentadiagonal and anti-pentadiagonal block band matrices with perturbed corners

Cites Work

• An eigenvalue localization theorem for pentadiagonal symmetric Toeplitz matrices
• An Algorithm for the Inversion of Finite Toeplitz Matrices
• Spectral Properties of Banded Toeplitz Matrices
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