Further characterizations of the $ m $-weak group inverse of a complex matrix
Wanlin Jiang, Kezheng Zuo
Abstract
<abstract><p>In this paper, we introduce certain different characterizations and several new properties of the $ m $-weak group inverse of a complex matrix. Also, the relationship between the $ m $-weak group inverse and a nonsingular bordered matrix is established as well as the Cramer's rule for the solution of the restricted matrix equation that depends on the $ m $-weak group inverse.</p></abstract>
Topics & Concepts
Invertible matrixInverseMatrix (chemical analysis)Group (periodic table)MathematicsPure mathematicsInvolutory matrixCombinatoricsNonnegative matrixSymmetric matrixPhysicsChemistryGeometryQuantum mechanicsEigenvalues and eigenvectorsChromatographyMatrix Theory and AlgorithmsAdvanced Topics in AlgebraMathematics and Applications