A CHARACTERIZATION OF THE NEARLY SIGN CENTRAL MATRICES AND ITS MINIMALLITY

  • Lee, Gwang-Yeon (Department of Mathematics, Hanseo University) ;
  • Lee, You-Ho (Department of Computing and Information Security, Daegu Haany University)
  • Published : 2004.01.01

Abstract

The sign central matrices were characterized by Ando and Brualdi. And, the nearly sign central matrices were characterized by Lee and Cheon. In this paper, we give another characterization of nearly sign central matrices. Also, we introduce the nearly minimal sign central matrices and study the properties of nearly minimal sign central matrices.

Keywords

References

  1. Linear Algebra and Its Appl. v.208;209 Sign-Central Matrices R. A. Brualdi;T. Ando
  2. Soviet Math. (IZ. VUZ) v.334 Solubility of the system Ax = 0, $x {\ge} 0$ with indefinite coefficients G. V. Davydov;I. M. Davydova
  3. J. Appl. Math. and Computing v.10 no.1-2 A note on sign central matrices G. Y. Lee
  4. Bull. Korean Math. Soc. v.37 no.4 A characterization of nearly sign central matrices G. Y. Lee;G. S. Cheon
  5. Electronic J. Linear Algebra v.4 Sign consistency and solvability of constrained linear systems G. Y. Lee;B. L. Shader