Characteristic polynomials of symmetic rationally generated toeplitz matrices

DOI10.1080/03081088708817803zbMath0651.15009OpenAlexW1963801504MaRDI QIDQ3795793

William F. Trench

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03081088708817803

zbMATH Keywords

eigenvectorscharacteristic polynomialsreal symmetric Toeplitz matrices

Mathematics Subject Classification ID

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

Related Items (3)

Symmetric polynomials in the symplectic alphabet and the change of variables \(z_j = x_j + x_j^{-1}\) ⋮ A matrix-less and parallel interpolation-extrapolation algorithm for computing the eigenvalues of preconditioned banded symmetric Toeplitz matrices ⋮ Eigenvalue-eigenvector structure of Schoenmakers-Coffey matrices via Toeplitz technology and applications

Cites Work

• Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
• On the eigenvalue problem for toeplitz matrices generated by rational functions

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