Korean Journal of Mathematics

  • 제15권2호
  • /
  • Pages.101-114
  • /
  • 2007
  • /
  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

LINEAR OPERATORS PRESERVING MAXIMAL COLUMN RANKS OF NONNEGATIVE REAL MATRICES

  • Kang, Kyung-Tae (Combinatorial and Computational Mathematics Center, POSTECH) ;
  • Kim, Duk-Sun (Department of Mathematics, SungKyunKwan University) ;
  • Lee, Sang-Gu (Department of Mathematics, SungKyunKwan University) ;
  • Seol, Han-Guk (Department of Mathematics, Daejin University)
  • 투고 : 2007.08.18
  • 발행 : 2007.12.30
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초록

For an $m$ by $n$ nonnegative real matrix A, the maximal column rank of A is the maximal number of the columns of A which are linearly independent. In this paper, we analyze relationships between ranks and maximal column ranks of matrices over nonnegative reals. We also characterize the linear operators which preserve the maximal column rank of matrices over nonnegative reals.

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