호남수학학술지 (Honam Mathematical Journal)

  • 제26권3호
  • /
  • Pages.341-353
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  • 2004
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  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

A NOTE ON MATRICES WITH SIGNED NULL-SPACES

  • KIM, SI-JU (Department of Mathematics Education, Andong National University) ;
  • CHOI, TAEG-YOUNG (Department of Mathematics Education, Andong National University) ;
  • LEE, IN-HO (Youngyang High School)
  • 투고 : 2004.07.15
  • 발행 : 2004.09.25
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초록

We denote by ${{\mathcal{Q}}(A)}$ the set of all matrices with the same sign pattern as A. A matrix A has signed null-space provided there exists a set ${\mathcal{S}}$ of sign patterns such that the set of sign patterns of vectors in the null-space of ${\tilde{A}}$ is ${\mathcal{S}}$, for each ${\tilde{A}}{\in}{{\mathcal{Q}}(A)}$. Some properties of matrices with signed null-spaces are investigated.

키워드

참고문헌

  1. The matrices of sign-solvable linear systems Brualdi, R.A.;Shader, B.L.
  2. Linear Algebra Appl. v.270 Mixed Dominating Matrices Fisher, K.G.;Morris, W.;Shapiro, J.
  3. Linear Algebra Appl. v.313 Linear systems with signed solutions Kim, S.J.;Shader, B.L.
  4. Linear and multilinear algebra v.50 no.1 Sign solvable cone system Kim, S.J.;Shader, B.L.
  5. Linear Algebra Appl. On Matrices which has signed nullspaces Kim, S.J.;Shader, B.L.
  6. SIMAX On Matrices with signed nullspaces Kim, S.J.;Shader, B.L.;Hwang, S.G.