Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지
DOI QR코드

DOI QR Code

EXTREMAL CASES OF SN-MATRICES

  • Kim, Si-Ju (Department of Mathematics Education, Andong National University) ;
  • Choi, Tae-Young (Department of Mathematics Education, Andong National University)
  • Received : 2008.07.21
  • Accepted : 2008.09.01
  • Published : 2008.12.25
Download PDF
⟨ Previous Next ⟩

Abstract

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

Keywords

References

  1. R.A. Brualdi and B.L. Shader, The matrices of sign-solvable linear systems, Cambridge University Press, Cambridge, 1995.
  2. S.J. Kim and B.L. Shader, Linear systems with signed solutions, Linear Algebra Appl. 313(2000) 21-40. https://doi.org/10.1016/S0024-3795(00)00092-6
  3. S.J. Kim and B.L. Shader, Sign solvable cone system, Linear and multilinear algehra vol. 50 no. 1(2002) 23-32. https://doi.org/10.1080/03081080290011683
  4. S.J. Kim and B.L. Shader, On Matrices which has signed nullspaces, Linear Algebra Appl. 353(2002) 245-255. https://doi.org/10.1016/S0024-3795(02)00312-9
  5. S.J. Kim, B.L. Shader and S.C. Hwang, On Matrices with signed nullspaces, SIAM J. on Matrix Analysis and Appl. vol. 24 no. 2(2002) 570-780. https://doi.org/10.1137/S0895479801396221
  6. S.J. Kim and T.Y. Choi, A Characterization of an SN-matrix related with L-matrix, Honam Mathematical Journal 28 (2006) 333-342.