Structured matrices, reproducing kernels and interpolation (Q2784643)
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scientific article; zbMATH DE number 1732874
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structured matrices, reproducing kernels and interpolation |
scientific article; zbMATH DE number 1732874 |
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28 July 2002
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structured matrix
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reproducing kernel
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interpolation
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factorization
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0.8997009
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0.8981617
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0.8942493
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0.8819818
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Structured matrices, reproducing kernels and interpolation (English)
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The paper is devoted to study some connections between structured matrices and a certain class of matrix-valued interpolation problems. The link relies on interpreting the structured matrix as the Gram matrix of a special kind of a reproducing kernel Hilbert or Krein spaces. There are discussed the bitangential Nevanlinnna-Pick problem, the basic and the augmented basic interpolation problems, and the Carathéodory-Fejér full matrix boundary problem.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00034].
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