A catalog of minimally nonideal matrices (Q1298742)
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scientific article; zbMATH DE number 1326501
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A catalog of minimally nonideal matrices |
scientific article; zbMATH DE number 1326501 |
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A catalog of minimally nonideal matrices (English)
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9 January 2000
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This paper describes a backtracking algorithm for the enumeration of nonisomorphic minimally nonideal \(n\times n\)-matrices that are not degenerate projective planes. The application of this algorithm for \(n\leq 12\) yielding 20 such matrices, adding 5 matrices to the previously known. For greater dimensions, \(n=14\) and \(n=17\), 13 new matrices are given. For nonsquare matrices, 38 new minimally nonideal matrices are described.
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nonideal matrices
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backtracking algorithm
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enumeration
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