On degenerate interpolation, entropy and extremal problems for matrix Schur functions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1998-12

AUTHORS

Vladimir Bolotnikov, Harry Dym

ABSTRACT

We consider a general bitangential interpolation problem for matrix Schur functions and focus mainly on the case when the associated Pick matrix is singular (and positive semidefinite). Descriptions of the set of all solutions are given in terms of special linear fractional transformations which are obtained using two quite different approaches. As applications of the obtained results we consider the maximum entropy and the maximum determinant extension problems suitably adapted to the degenerate situation. More... »

PAGES

367-435

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01194989

DOI

http://dx.doi.org/10.1007/bf01194989

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1023628084


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