대한수학회지 (Journal of the Korean Mathematical Society)

  • 제40권6호
  • /
  • Pages.943-950
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  • 2003
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  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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MAXIMAL COLUMN RANKS AND THEIR PRESERVERS OF MATRICES OVER MAX ALGEBRA

  • 발행 : 2003.11.01
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초록

The maximal column rank of an m by n matrix A over max algebra is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over max algebra. We also characterize the linear operators which preserve the maximal column rank of matrices over max algebra.

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참고문헌

  1. Linear Algebra Appl. v.275-276 A max version of the Perron-Frebenius theorem R.B.Bapat https://doi.org/10.1016/S0024-3795(97)10057-X
  2. Linear and Multilinear Algebra v.48 Rank preservers of matrices over max Algebra R.B.Bapat;Sukanta Pati;S.Z.Song https://doi.org/10.1080/03081080008818665
  3. Linear Algebra Appl. v.59 Boolean rank-preserving operators and Boolean rank-1 spaces L.B.Beasley;N.J.Pullman https://doi.org/10.1016/0024-3795(84)90158-7
  4. Linear and Multilinear Algebra v.31 A comparison of nonnegative real ranks and their preservers L.B.Beasley;S.Z.Song https://doi.org/10.1080/03081089208818120
  5. Linear and Multilinear Algebra v.36 Linear operators that preserve maximal column rank of Boolean matrices S.G.Hwang;S.J.Kim;S.Z.Song https://doi.org/10.1080/03081089408818305
  6. General Algebra and Application v.20 Linear operators preserving maximal column ranks of nonbinary Boolean matrices S.Z.Song;S.D.Yang;S.M.Hong;Y.B.Jun;S.J.Kim