Jingyue Zhang, T. Z. Huang, Zhongshan Li and Xingwen Zhu
Abstract
\uf029Q A denote
A matrix whose entries consist of \uf07b
nn \uf0b4 matrices B such that the signs of entries in B match the corresponding entries in
the set of all real
A . For nonnegative sign patterns, sign idempotent patterns have been characterized. In this paper, we Firstly
give an equi-valent proposition to characterize general sign idempotent matrices (sign idempotent). Next, we
study properties of a class of matrices which can be generalized permutationally similar to specialized sign
patterns. Finally, we consider the relationships among the allowance of idempotent, generalized inverses and
the allowance of tripotent in symmetric sign idempotent patterns.
