Volume no :1, Issue no: 2, June (2008)

Journal of Algebra, Number Theory: Advances and Applications

BOUNDS ON THE BASE OF SOME PRIMITIVE NON-POWERFUL ZERO-SYMMETRIC SIGN PATTERN MATRICES

Author's: Hongping Hu, Jianzhong Wang and Yanping Bai
Pages: [143] - [164]
Received Date: June 12, 2009
Submitted by: Bolian Liu

Abstract

In 1994 Li et al. [3] extended the concept of the index of convergence from nonnegative matrices to powerful sign pattern matrices. In 2006, Liu and You extended the concept of the base from sign pattern matrices to non-powerful (and generalized) sign pattern matrices. In this paper, we study some primitive non-powerful zero-symmetric sign pattern matrix A, whose associated graph is lollipop or lollipop. The bounds on the base of primitive non-powerful zero-symmetric sign pattern matrix A are obtained.

Keywords

matrix, sign pattern, non-powerful, symmetric, primitive, base.