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ISSN : 1226-0657

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Vol.8 No.1

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ON NEARLY CONVERTIBLE (0,1) MATRICES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2001, v.8 no.1, pp.25-32
Kim, Si-Ju (Department of Mathematics Education, Andong University)
Park, Yong-Kil (Department of Liberal Arts and Science, Donghae University)
Kim, Si-Ju, & Park, Yong-Kil. (2001). ON NEARLY CONVERTIBLE (0,1) MATRICES. 한국수학교육학회지시리즈B:순수및응용수학, 8(1), 25-32.

Abstract

Let A be a nonnegative matrix of size <TEX>$n \times n$</TEX>. A is said to be nearly convertible if A(i│j) is convertible for all integers i, j<TEX>$\in$</TEX>{1,2,…, n} where A(i│j) denote the submatrix obtained from A by deleting the i-th row and the j-th col-umn. We investigate some properties of nearly convertible matrices and existence of (maximal)nearly convertible matrices of size n is proved for any integers <TEX>$n(\geq 3)$</TEX>.

keywords
pernanent, convertible and nearlyconvertible

한국수학교육학회지시리즈B:순수및응용수학

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