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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作者单位
Richard A.Brualai University of Wisconsin Madison. U. S. A. 
李乔 University of Science and Technology of China 
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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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