Sign Idempotent Matrices and Generalized Inverses
Year: 2010
Journal of Information and Computing Science, Vol. 5 (2010), Iss. 3 : pp. 233–240
Abstract
Q A denote A matrix whose entries consist of nn 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22714
Journal of Information and Computing Science, Vol. 5 (2010), Iss. 3 : pp. 233–240
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8