A catalog of minimally nonideal matrices

Christine Lütolf () and François Margot ()

Mathematical Methods of Operations Research, 1998, vol. 47, issue 2, 241 pages

Abstract: This paper describes a backtracking algorithm for the enumeration of nonisomorphic minimally nonideal (n ×n) matrices that are not degenerate projective planes. The application of this algorithm forn ≤ 12 yielded 20 such matrices, adding 5 matrices to the 15 previously known. For greater dimensions,n=14 andn=17, 13 new matrices are given. For nonsquare matrices, 38 new minimally nonindeal matrices are described. Copyright Physica-Verlag 1998

Keywords: nonideal matrices; backtracking (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/BF01194398

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