A NOTE ON SIGN CENTRAL MATRICES

  • Published : 2002.09.01

Abstract

In this paper we study when a sign pattern matrix A and a sign pattern vector b have the property that the convex hull of the columns of each matrix with sign pattern A contains a vector with sign pattern b. This study generalizes the notion of sign central matrices.

Keywords

References

  1. Linear Algebra and Its Appl. v.208/209 Sign-Central Matrices R. A. Brualdi;T. Ando
  2. The matrices of sign-solvable linear systems R. A. Brualdi;B. L. Shader
  3. Soviet Math. (IZ. VUZ) v.334 Solubility of the system Ax = 0,x≥ 0 with indefinite coefficients G. V. Davydov;I. M. Davydova
  4. Linear Alg. and Its Appls. v.24 Sign patterns of inverse-positive matrices C. R. Johnson;F. T. Leighton;H. A. Robinson
  5. Linear Alg. and Its Appls. v.59 Signsolvability revisited V. Klee;R. Ladner;R. Manber
  6. Electronic J. Linear Algebra v.4 Sign consistency and solvability of constrained linear systems G. Y. Lee;B. L. Shader
  7. Korean J. Comput. and Appl. Math. (Series A) v.7 Nonnegativity of reducible sign idempotent matrices Se-Won Park;Sang-Gu Lee;Seok-Zun Song