On the eigenvalue problem for toeplitz matrices generated by rational functions

DOI10.1080/03081088508817665zbMath0569.15004OpenAlexW1981012474MaRDI QIDQ3686820

William F. Trench

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/03081088508817665

zbMATH Keywords

eigenvalue problemcharacteristic polynomialsToeplitz matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (6)

On some properties of positive definite Toeplitz matrices and their possible applications ⋮ Generalized updating problems and computation of the eigenvalues of rational Toeplitz matrices ⋮ On the eigenvalue problem for Toeplitz matrices generated by rational functions ⋮ Computing eigenvalues and singular values of Toeplitz matrices ⋮ Formal series and an algorithm for computing some special determinants with elements in a ring ⋮ Characteristic polynomials of symmetic rationally generated toeplitz matrices

Cites Work

• Unnamed Item
• On the eigenvalue problem for Toeplitz band matrices
• Band matrices with Toeplitz inverses
• The Generalized Vandermonde Matrix
• On the Eigenvalue Problem for a Class of Band Matrices Including Those with Toeplitz Inverses

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