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Toeplitz matrices commuting with tridiagonal matrices. (English) Zbl 0477.15005

MSC:
15A18 Eigenvalues, singular values, and eigenvectors
15A27 Commutativity of matrices
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[1] F.A. Grünbaum, Eigenvectors of a Toeplitz matrix: discrete version of the prolate spheroidal wave functions, SIAM J. Alg. Discrete Meth., to appear.
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[9] Gustavson, F.; Yun, D., Fast computation for Toeplitz systems, Cauchy-Hermite-pade approximants, and the extended Euclidean algorithm, IBM rc 7551, (Mar. 1979)
[10] R. Brent, F. Gustavson, and D. Yun, Fast computation of Pade approximants and the solution of Toeplitz systems of equations, to appear. · Zbl 0475.65018
[11] Morrison, J., On the commutation of finite integral operators with difference kernels, and linear selfadjoint differential operators, abstract, Notices amer. math. soc., 119, (1962)
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