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Article
On the eigenvalue problem for Toeplitz matrices generated by rational functions
Linear and Multilinear Algebra
(1985)
Abstract
We give formulas for the characteristic polynomial and eigenvectors of of $n\times n$ Toeplitz matrices generated by a formal Laurent series of a rational function $R(z)$. The formulas are in terms of a certain fixed polynomial with coefficients that are simple functions of $\lambda$ and the coefficients of $R(z)$. The complexity of the formulas is independent of $n$.
Disciplines
Publication Date
1985
Citation Information
William F. Trench. "On the eigenvalue problem for Toeplitz matrices generated by rational functions" Linear and Multilinear Algebra Vol. 17 (1985) Available at: http://works.bepress.com/william_trench/42/