The Chebyshev solution of certain matrix equations (Q920580)
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scientific article; zbMATH DE number 4164034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Chebyshev solution of certain matrix equations |
scientific article; zbMATH DE number 4164034 |
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The Chebyshev solution of certain matrix equations (English)
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1990
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The problem of approximating an \((n,m)\)-matrix by a matrix of the form \(XA+BY\) is considered. The problem is closely related to that of approximating a function by a function of the form \(xh+gy\), so that the language of function is used, rather than that of matrices. The described algorithm for constructing best approximations is a version of the alternating algorithm of John von Neumann. Certain convergence properties of the alternating algorithm hold in a very general setting.
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Chebyshev solution
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matrix equations
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algorithm
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best approximations
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alternating algorithm
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convergence
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