PARAMETERIZATION OF ALL SOLUTIONS OF THE 3 CHAINS COMPLETION PROBLEM

Authors
FOIAS C FRAZHO AE GOHBERG I KAASHOEK MA
Citation
C. Foias et al., PARAMETERIZATION OF ALL SOLUTIONS OF THE 3 CHAINS COMPLETION PROBLEM, Integral equations and operator theory, 29(4), 1997, pp. 455-490
Citations number
10
Journal title
Integral equations and operator theory → ACNP
ISSN journal
0378620X
Volume
29
Issue
4
Year of publication
1997
Pages
455 - 490
Database
ISI
SICI code
0378-620X(1997)29:4<455:POASOT>2.0.ZU;2-D
Abstract
The family of all solutions of the three chains completion problem wit h a prescribed tolerance is described explicitly. It is shown that thi s family can be parameterized by a natural set of contractive upper tr iangular operators. As an application all solutions to a suboptimal no nstationary Nehari problem are described.