caa a22 4500 469043695 CHVBK 20180323132818.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF01204239 doi (NATIONALLICENCE)springer-10.1007/BF01204239 Factorizations of and extensions to J-unitary rational matrix functions on the unit circle [Elektronische Daten] [I. Gohberg, M. Kaashoek, A. Ran] This paper concerns two topics: (1) minimal factorizations in the class ofJ-unitary rational matrix functions on the unit circle and (2) completions of contractive rational matrix functions on the unit circle to two by two block unitary rational matrix functions which do not increase the McMillan degree. The results are given in terms of a special realization which does not require any additional properties at zero and at infinity. The unitary completion result may be viewed as a generalization of Darlington synthesis. Birkhäuser Verlag, 1992 15A54 nationallicence 93B15 nationallicence 47A57 nationallicence 47A68 nationallicence Gohberg I. School of Mathematical Sciences Raymond and Beverly Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel aut Kaashoek M. Faculteit Wiskunde en Informatica, Vrije Universiteit, De Boelelaan 1081, 1081 HV, Amsterdam, The Netherlands aut Ran A. Faculteit Wiskunde en Informatica, Vrije Universiteit, De Boelelaan 1081, 1081 HV, Amsterdam, The Netherlands aut Integral Equations and Operator Theory Birkhäuser-Verlag 15/2(1992-03-01), 262-300 0378-620X 15:2<262 1992 15 20 https://doi.org/10.1007/BF01204239 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01204239 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gohberg I. School of Mathematical Sciences Raymond and Beverly Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel aut NATIONALLICENCE 700 1- Kaashoek M. Faculteit Wiskunde en Informatica, Vrije Universiteit, De Boelelaan 1081, 1081 HV, Amsterdam, The Netherlands aut NATIONALLICENCE 700 1- Ran A. Faculteit Wiskunde en Informatica, Vrije Universiteit, De Boelelaan 1081, 1081 HV, Amsterdam, The Netherlands aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag 15/2(1992-03-01), 262-300 0378-620X 15:2<262 1992 15 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer