Superoptimal analytic approximations of matrix functions (Q1328275)

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scientific article; zbMATH DE number 599767
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Superoptimal analytic approximations of matrix functions
scientific article; zbMATH DE number 599767

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    Superoptimal analytic approximations of matrix functions (English)
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    15 March 1995
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    The paper deals with the problem of approximation of a bounded matrix function \(G\) on the unit circle by functions \(Q\) bounded and analytic in the unit disk. In the case of continuous \(G\) it is stated that there exists a unique \(Q\) such that \(G- Q\) minimizes the singular values. The structure of the error \(G-Q\) and smoothness properties of \(Q\) are studied.
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    approximation of a bounded matrix function
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