DocumentCode
3003580
Title
Inverse eigenvalue problem for real symmetric Toeplitz matrices
Author
Feyh, German ; Mullis, Clifford T.
Author_Institution
Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
fYear
1988
fDate
11-14 Apr 1988
Firstpage
1636
Abstract
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
Keywords
convergence; eigenvalues and eigenfunctions; matrix algebra; Newton-Raphson-type algorithm; inverse eigenvalue problem; linear convergence; quadratic convergence; real symmetric Toeplitz matrices; Contracts; Eigenvalues and eigenfunctions; Equations; Matrix decomposition; Reflection; Signal processing; Singular value decomposition; Student members; Sufficient conditions; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on
Conference_Location
New York, NY
ISSN
1520-6149
Type
conf
DOI
10.1109/ICASSP.1988.196926
Filename
196926
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