Richard A.Brualai,李乔.关于组合合成阵(英文)[J].数学研究及应用,1988,8(1):153~162 |
关于组合合成阵(英文) |
On the Combinatorial Compound Matrix |
投稿时间:1984-02-21 |
DOI:10.3770/j.issn:1000-341X.1988.01.029 |
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中文摘要: |
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英文摘要: |
We define the rth combinatorial compound Cr*(A) of a matrix A, which can be viewed as the characteristic function of the subset of the rxr submatrices of A which are combinatorially nonsingular. We prove that for 1≤rr*(A)is. We determine the minimum number of 2×2 and 3×3 combinatorially nonsingular submatrices over all n×n fully indecomposable matrices and make a jecture for general r. |
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