On the Schein rank of matrices over linear lattices (Q1118007)
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scientific article; zbMATH DE number 4093663
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Schein rank of matrices over linear lattices |
scientific article; zbMATH DE number 4093663 |
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On the Schein rank of matrices over linear lattices (English)
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1989
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The Schein rank of matrices over a linear lattice is the least number of rank 1 matrices \(u^ Tv\) whose sum is the given matrix. The authors prove that it can be attained by rank 1 matrices associated canonically with partitions of the set ṉ\(\times \underline m\) for \(n\times m\) matrices.
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matrices over linear lattices
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fuzzy matrices
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Schein rank
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rank 1 matrices
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partitions
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