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