scholarly journals Multichannel spectral factorization algorithm using polynomial matrix eigenvalue decomposition

2015 ◽  
Author(s):  
Zeliang Wang ◽  
John G. McWhirter ◽  
Stephan Weiss
Keyword(s):  
Polynomial Matrix ◽  
Spectral Factorization ◽  
Eigenvalue Decomposition ◽  
Factorization Algorithm ◽  
Matrix Eigenvalue

scholarly journals An elementary proof of the polynomial matrix spectral factorization theorem

2014 ◽  
Vol 144 (4) ◽  
pp. 747-751 ◽  
Author(s):  
Lasha Ephremidze
Keyword(s):  
Unit Circle ◽  
Linear Algebra ◽  
Simple Proof ◽  
Real Line ◽  
Complex Analysis ◽  
Elementary Proof ◽  
Polynomial Matrix ◽  
Spectral Factorization ◽  
Factorization Theorem ◽  
Matrix Spectral Factorization

A very simple proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line), which relies on elementary complex analysis and linear algebra, is presented.

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