On zero-pattern invariant properties of structured matrices (Q541952)
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scientific article; zbMATH DE number 5905238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On zero-pattern invariant properties of structured matrices |
scientific article; zbMATH DE number 5905238 |
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On zero-pattern invariant properties of structured matrices (English)
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8 June 2011
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It is known that inverse M-matrices are zero-pattern (power) invariant. The main contribution of the present work is to characterize some structured matrices that are zero-pattern (power) invariant. More precisely, necessary and sufficient conditions for these structured matrices are provided to be inverse M-matrices. In particular, to check whether a given circulant or symmetric Toeplitz matrix is an inverse M-matrix, only requires to consider its pattern structure and verify that one of its principal submatrices is an inverse M-matrix.
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inverse M-matrices
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structured matrices
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zero-pattern (power) invariant
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Toeplitz matrix
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circulant
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