Further characterizations of the weak group inverse of matrices and the weak group matrix
Hui Yan, Hongxing Wang, Kezheng Zuo, Yang Chen
Abstract
<abstract> This paper is devoted to consider some new characteristics and properties of the weak group inverse and the weak group matrix. First, we characterize the weak group inverse of a square matrix based on its range space and null space. Also several different characterizations of the weak group inverse are presented by projection and the Bott-Duffin inverse. Then by using the core-EP decomposition, we investigate the relationships between weak group inverse and other generalized inverses. And some new characterizations of weak group matrix are obtained. </abstract>
Topics & Concepts
InverseMathematicsGroup (periodic table)Matrix (chemical analysis)Projection (relational algebra)Space (punctuation)Pure mathematicsCombinatoricsPhysicsGeometryAlgorithmComputer scienceMaterials scienceQuantum mechanicsOperating systemComposite materialMatrix Theory and AlgorithmsAdvanced Optimization Algorithms Research