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On the role of the Nevanlinna–Pick problem in circuit and system theory
Author(s) -
Delsarte Ph.,
Genin Y.,
Kamp Y.
Publication year - 1981
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490090204
Subject(s) - interpolation (computer graphics) , cascade , mathematics , polynomial , norm (philosophy) , nevanlinna theory , stability (learning theory) , reduction (mathematics) , algebra over a field , pure mathematics , computer science , mathematical analysis , law , telecommunications , political science , chemistry , geometry , chromatography , frame (networking) , machine learning , meromorphic function
The paper is concerned with applications of the standard Nevanlinna–Pick problem in various technical domains, namely the following: interpolation by reflectance functions, polynomial stability checking, cascade synthesis of passive one‐ports, and model reduction with a Hankel norm criterion. Some fundamental results on the Nevanlinna–Pick problem are shown to be of a definite interest in each of these subjects.