Title :
A recurrence relation for singular real symmetric Toeplitz matrices
Author_Institution :
Dept. of Math., San Francisco Univ., CA, USA
fDate :
6/1/2000 12:00:00 AM
Abstract :
We extend a recurrence relation between determinants of real symmetric Toeplitz matrices to the case where these matrices are singular. The relation exploits the even-odd structure of Toeplitz matrices and contains two factors: one corresponding to the even and the other corresponding to the odd part of their spectrum
Keywords :
Toeplitz matrices; determinants; spectral analysis; even-odd structure; recurrence relation; singular real symmetric Toeplitz matrices; spectrum parity; Autocorrelation; Eigenvalues and eigenfunctions; Mathematics; Numerical analysis; Parameter estimation; Signal processing; Symmetric matrices; Vectors;
Journal_Title :
Signal Processing, IEEE Transactions on