Abstract
Bounds for the condition number are obtained which indicate the dependence of the conditioning of a symmetric positive definite Toeplitz matrix on the sign distribution of its reflection coefficients. This dependence is illustrated with numerical examples. Similar bounds for symmetric positive definite block Toeplitz matrices are also presented.
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© 1986 Springer Basel AG
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Koltracht, I., Lancaster, P. (1986). Condition Numbers of Toeplitz and Block Toeplitz Matrices. In: Gohberg, I. (eds) I. Schur Methods in Operator Theory and Signal Processing. Operator Theory: Advances and Applications, vol 18. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5483-2_11
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DOI: https://doi.org/10.1007/978-3-0348-5483-2_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5484-9
Online ISBN: 978-3-0348-5483-2
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