Patterns, linesums, and symmetry (Q1855422)
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scientific article; zbMATH DE number 1864783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Patterns, linesums, and symmetry |
scientific article; zbMATH DE number 1864783 |
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Patterns, linesums, and symmetry (English)
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5 February 2003
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Two questions about the existence of structured matrices with given linesums and given zero-nonzero patterns are settled: when is there a symmetric matrix and when is there a skew-symmetric matrix? The solutions use some ideas from prior treatment of the analogous problems without structural constraints, but the current results require new conditions and new methodology.
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structured matrices
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linesums
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zero-nonzero patterns
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symmetric matrix
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skew-symmetric matrix
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