Minimal rank completions for block matrices (Q1823288)
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scientific article; zbMATH DE number 4114801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal rank completions for block matrices |
scientific article; zbMATH DE number 4114801 |
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Minimal rank completions for block matrices (English)
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1989
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The following problem is discussed: Given the lower triangular part of a block matrix, characterize the set of all completions of this matrix such that the resulting matrix has a minimal rank. The structure of the set of such matrices is described and for the particular case of block Toeplitz matrices, the relationship to the partial realization problem is given.
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block completion problem
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block Hankel matrix
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minimal rank
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block Toeplitz matrices
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partial realization problem
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