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Inverse eigenvalue problem for real symmetric Toeplitz matrices

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2 Author(s)
Feyh, G. ; Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA ; Mullis, C.T.

The inverse eigenvalue problem for real symmetric Toeplitz matrices is defined. A Newton-Raphson-type algorithm is developed for the solution of the problem. The algorithm converges unsafeguarded in all the computed cases and shows the typical behavior of Newton-type algorithms: in general quadratic convergence, linear convergence near double roots. Examples of dimension 10 and 20 are presented. Known sufficient conditions for inverse eigenvalue problems of real symmetric matrices are discussed

Published in:

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Date of Conference:

11-14 Apr 1988