A polynomial approach to Hankel norm and balanced approximations (Q803500)
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scientific article; zbMATH DE number 4200969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A polynomial approach to Hankel norm and balanced approximations |
scientific article; zbMATH DE number 4200969 |
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A polynomial approach to Hankel norm and balanced approximations (English)
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1991
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The theory of Hankel norm approximations was developed, in great generality, in a series of papers published by Adamjan, Arov and Krein between 1968 and 1978. The aim of the paper under review is to present a new approach to problems of Hankel norm and balanced approximation. This approach is based on a combination of polynomial algebra and the geometry of invariant subspaces, and leads to new insights into the basic properties of Hankel norm approximations and balanced realizations.
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Hankel norm approximations
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balanced approximation
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polynomial algebra
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geometry of invariant subspaces
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balanced realizations
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