호남수학학술지 (Honam Mathematical Journal)

  • 제36권2호
  • /
  • Pages.275-289
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  • 2014
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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MATRIX TYPES WITH DETERMINANTS IN LINEAR FACTORED FORMS

  • An, Ji Hye (Department of Mathematics, Jeju National University) ;
  • Lee, A Reum (Department of Mathematics, Jeju National University) ;
  • Lee, Seul Bi (Department of Mathematics, Jeju National University) ;
  • Lim, Su San (Department of Mathematics, Jeju National University) ;
  • Song, Seok-Zun (Department of Mathematics, Jeju National University)
  • 투고 : 2014.02.07
  • 심사 : 2014.02.20
  • 발행 : 2014.06.25
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초록

We study matrix forms whose determinants are easily computable. We give various forms of square matrices whose determinants are products of linear factors related with their entries.

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참고문헌

  1. J. Ferrer, D. Mingueza and M. E. Montoro, Determinant of a matrix that commutes with a Jordan matrix, Linear Algebra Appl. 439 (2013), 3945-3954. https://doi.org/10.1016/j.laa.2013.10.023
  2. R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, ISBN 0-521-38632-2, 1985.
  3. K. Pula, S. Z. Song and I. M. Wanless, Minimum permanents on two faces of the polytope of doubly stochastic matrices, Linear Algebra Appl. 434 (2011), 232-238. https://doi.org/10.1016/j.laa.2010.08.015
  4. S. Z. Song, Minimum permanents on a face of the polytope of doubly stochastic matrices, Linear Algebra Appl. 259 (1997), 169-182. https://doi.org/10.1016/S0024-3795(96)00248-0