Rational Matrix Functions with J-Unitary Values on the Unit Circle

1990 ◽  
pp. 178-198
Author(s):  
Joseph A. Ball ◽  
Israel Gohberg ◽  
Leiba Rodman
Keyword(s):  
Unit Circle ◽  
Matrix Functions ◽  
Rational Matrix

Factorizations of and extensions to J-unitary rational matrix functions on the unit circle

1992 ◽  
Vol 15 (2) ◽  
pp. 262-300 ◽  
Author(s):  
I. Gohberg ◽  
M. A. Kaashoek ◽  
A. C. M. Ran
Keyword(s):  
Unit Circle ◽  
Matrix Functions ◽  
Rational Matrix

Minimal Pencil Realizations of Rational Matrix Functions with Symmetries

1998 ◽  
Vol 41 (2) ◽  
pp. 178-186 ◽  
Author(s):  
Ilya Krupnik ◽  
Peter Lancaster
Keyword(s):  
Unit Circle ◽  
Real Line ◽  
Matrix Functions ◽  
Rational Matrix ◽  
The Real ◽  
Minimal Realizations

AbstractA theory of minimal realizations of rational matrix functions W(λ) in the “pencil” form W(λ) = C(λA1 − A2)−1B is developed. In particular, properties of the pencil λA1 − A2 are discussed when W(λ) is hermitian on the real line, and when W(λ) is hermitian on the unit circle.

J-unitary rational matrix functions

2010 ◽  
pp. 313-345
Author(s):  
Harm Bart ◽  
Marinus A. Kaashoek ◽  
André C. M. Ran
Keyword(s):  
Matrix Functions ◽  
Rational Matrix

Realization and Factorization for Rational Matrix Functions with Symmetries

1990 ◽  
pp. 1-60 ◽  
Author(s):  
Daniel Alpay ◽  
Joseph A. Ball ◽  
Israel Gohberg ◽  
Leiba Rodman
Keyword(s):  
Matrix Functions ◽  
Rational Matrix
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