Dual $r$-Rank Decomposition and Its Applications
Rings and Algebras
2022-05-09 v2
Abstract
In this paper, we introduce the dual -rank decomposition of dual matrix, get its existence condition and equivalent form of the decomposition, as well as derive some characterizations of dual Moore-Penrose generalized inverse(DMPGI). Based on DMPGI, we introduce one special dual matrix(dual EP matrix). By applying the dual -rank decomposition we derive several characterizations of dual EP matrix, dual idempotent matrix, dual generalized inverses, and the relationships among dual Penrose equations.
Keywords
Cite
@article{arxiv.2204.09861,
title = {Dual $r$-Rank Decomposition and Its Applications},
author = {Hongxing Wang and Chong Cui and Xiaoji Liu},
journal= {arXiv preprint arXiv:2204.09861},
year = {2022}
}